* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
* * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Setting MPFR precision to 1600
* * * * [misc]points:  Setting MPFR precision to 1856
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Setting MPFR precision to 2624
* * * * [misc]points:  Setting MPFR precision to 2880
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 2624
* * * * [misc]points:  Setting MPFR precision to 2880
* * * * [misc]points:  Setting MPFR precision to 3136
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 256 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* 2.0 (- (hypot re im) re))))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (hypot re im) re)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1 2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1 2)
* [misc]approximate:  Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (- (hypot re im) re) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (- (hypot re im) re) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (hypot re im) re) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ im 0) into im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in im
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
* [misc]approximate:  Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (* 2.0 (- (hypot re im) re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (hypot re im) re))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (hypot re im) re)) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (hypot re im) re) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (+ re (- re)) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 re))) (+ (* 0 0) (* 0 0))) into (* 1.0 (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (* 1.0 (/ 1 re))) into (* (sqrt 1.0) (sqrt (/ 1 re)))
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 re))) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1.0 (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (hypot re im) re))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (hypot re im) re)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (hypot re im) re) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ im 0) into im
* [misc]backup-simplify:  Simplify (* 2.0 im) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 im)) into (* (sqrt im) (sqrt 2.0))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 2.0 -1) (* 0 im)) into (- 2.0)
* [misc]backup-simplify:  Simplify (/ (- 2.0) (* 2 (sqrt (* 2.0 im)))) into (* -1.0 (* (sqrt (/ 1 im)) (/ 1 (sqrt 2.0))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (hypot re im) re))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (hypot re im) re)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (hypot re im) re) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ im 0) into im
* [misc]backup-simplify:  Simplify (* 2.0 im) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 im)) into (* (sqrt im) (sqrt 2.0))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 2.0 -1) (* 0 im)) into (- 2.0)
* [misc]backup-simplify:  Simplify (/ (- 2.0) (* 2 (sqrt (* 2.0 im)))) into (* -1.0 (* (sqrt (/ 1 im)) (/ 1 (sqrt 2.0))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt im) (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]taylor:  Taking taylor expansion of (* -1.0 (* (sqrt (/ 1 im)) (/ 1 (sqrt 2.0)))) in im
* [misc]taylor:  Taking taylor expansion of -1.0 in im
* [misc]backup-simplify:  Simplify -1.0 into -1.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 im)) (/ 1 (sqrt 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (/ 1 (sqrt 2.0))))) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (/ 1 (sqrt 2.0)))) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (* 0 (/ 1 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1.0 (- (* +nan.0 (/ 1 (sqrt 2.0))))) (+ (* 0 (- (* +nan.0 (/ 1 (sqrt 2.0))))) (* 0 0))) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (sqrt 2.0)))) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (/ 1 (sqrt 2.0)))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (/ (* im re) (sqrt 2.0))) (- (+ (* +nan.0 (* (pow im 2) (sqrt 2.0))) (- (* +nan.0 (* im (sqrt 2.0))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* 2.0 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into (* 1.0 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1.0 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into (* 1.0 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1.0 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ +nan.0 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
* [misc]taylor:  Taking taylor expansion of (/ +nan.0 (pow im 4)) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow im 4) in im
* [misc]backup-simplify:  Simplify (/ +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (* 1/8 (/ 1 (pow im 4))))) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))))) into (- (* 0.25 (/ 1 (pow im 4))))
* [misc]backup-simplify:  Simplify (/ (- (- (* 0.25 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 0.25 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* 0.25 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* 0.25 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im
* [misc]taylor:  Taking taylor expansion of (* 0.25 (/ 1 (pow im 4))) in im
* [misc]taylor:  Taking taylor expansion of 0.25 in im
* [misc]backup-simplify:  Simplify 0.25 into 0.25
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 4)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 4) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 6)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 6) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.25 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0.25 1) into 0.25
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0.25 0) into 0.25
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.25) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (sqrt (* 2.0 (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (* 2.0 2) into 4.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 4.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (* 2.0 2) into 4.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 4.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 2))) into (* 1.0 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (/ (- (* 1.0 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1.0 (/ 1 (pow im 2))) +nan.0))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (* 1.0 (/ 1 (pow im 2))) +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* 1.0 (/ 1 (pow im 2))) +nan.0) in im
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of 1.0 in im
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1.0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1.0 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 2)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- re))) 2)) (+ (* +nan.0 (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow re 2))))))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1 2 1)
* [misc]approximate:  Taking taylor expansion of (hypot re im) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 im) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* im 1)) into im
* [misc]approximate:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
* [misc]approximate:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (* 2.0 (- (hypot re im) re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (hypot re im) re)) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (hypot re im) re) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (hypot re im) re)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (hypot re im) re) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (hypot re im) re)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (hypot re im) re) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ im 0) into im
* [misc]backup-simplify:  Simplify (* 2.0 im) into (* 2.0 im)
* [misc]taylor:  Taking taylor expansion of (* 2.0 im) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 2.0 -1) (* 0 im)) into (- 2.0)
* [misc]taylor:  Taking taylor expansion of (- 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (- 2.0) into (- 2.0)
* [misc]backup-simplify:  Simplify (- 2.0) into (- 2.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 im))) (+ (* 0 -1) (* 0 im))) into (* 1.0 (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of 1.0 in im
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 im))) (+ (* 0 -1) (* 0 im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* im 1)) (* (- 2.0) (* 1 re))) into (- (* 2.0 im) (* 2.0 re))
* [misc]approximate:  Taking taylor expansion of (* 2.0 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into (* 1.0 (/ 1 (pow im 2)))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of 1.0 in im
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (* 2.0 (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (* 2.0 2) into 4.0
* [misc]taylor:  Taking taylor expansion of 4.0 in im
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 2)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 2))) into (* 1.0 (/ 1 (pow im 2)))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of 1.0 in im
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 4.0 (* 1 (/ 1 (/ 1 (- re))))) into (* -4.0 re)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log1p (expm1 (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 2 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (expm1 (log1p (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 3 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))))))>
* [enter]simplify:  Simplifying (* (cbrt (hypot re im)) (cbrt (hypot re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im)))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))))))
* * * * [misc]progress:  [ 4 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))))>
* [enter]simplify:  Simplifying (sqrt (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))))
* * * * [misc]progress:  [ 5 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (fma 1 (hypot re im) (- re))))))>
* * * * [misc]progress:  [ 6 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (- (hypot re im) re) 1)))))>
* * * * [misc]progress:  [ 7 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 8 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 9 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 10 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 11 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 12 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))))))>
* * * * [misc]progress:  [ 13 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (hypot re im) (- re))))))>
* * * * [misc]progress:  [ 14 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (- (hypot re im) re))))))>
* * * * [misc]progress:  [ 15 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re))))))>
* * * * [misc]progress:  [ 16 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (hypot re im) (- re))))))>
* * * * [misc]progress:  [ 17 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log1p (expm1 (sqrt (* 2.0 (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 18 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (expm1 (log1p (sqrt (* 2.0 (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 19 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (- (hypot re im) re)) 1/2)))>
* * * * [misc]progress:  [ 20 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (sqrt (* 2.0 (- (hypot re im) re))) 1)))>
* * * * [misc]progress:  [ 21 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 22 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log (exp (sqrt (* 2.0 (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 23 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (hypot re im) re)))) (cbrt (sqrt (* 2.0 (- (hypot re im) re))))) (cbrt (sqrt (* 2.0 (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 24 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (cbrt (* (* (sqrt (* 2.0 (- (hypot re im) re))) (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (* 2.0 (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 25 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- (hypot re im) re)))))>
* [enter]simplify:  Simplifying (sqrt 2.0)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 2.0)
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- (hypot re im) re)))))
* * * * [misc]progress:  [ 26 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (- (pow (hypot re im) 3) (pow re 3)))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))))))>
* [enter]simplify:  Simplifying (sqrt (* 2.0 (- (pow (hypot re im) 3) (pow re 3))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (* (hypot re im) 2.0) (* (hypot re im) (hypot re im)) (* (- 2.0) (pow re 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (fma (* (hypot re im) 2.0) (* (hypot re im) (hypot re im)) (* (- 2.0) (pow re 3)))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))))))
* * * * [misc]progress:  [ 27 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (+ (hypot re im) re)))))>
* [enter]simplify:  Simplifying (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (234 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- (hypot re im) re) (fma 2.0 (hypot re im) (* re 2.0))))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* (- (hypot re im) re) (fma 2.0 (hypot re im) (* re 2.0)))) (sqrt (+ (hypot re im) re)))))
* * * * [misc]progress:  [ 28 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 29 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (- (hypot re im) re))))))>
* * * * [misc]progress:  [ 30 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (log1p (expm1 (hypot re im))) re)))))>
* * * * [misc]progress:  [ 31 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (expm1 (log1p (hypot re im))) re)))))>
* * * * [misc]progress:  [ 32 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))>
* * * * [misc]progress:  [ 33 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (hypot re im) 1) re)))))>
* * * * [misc]progress:  [ 34 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log (hypot re im))) re)))))>
* * * * [misc]progress:  [ 35 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (log (exp (hypot re im))) re)))))>
* * * * [misc]progress:  [ 36 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)))))>
* * * * [misc]progress:  [ 37 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (cbrt (* (* (hypot re im) (hypot re im)) (hypot re im))) re)))))>
* * * * [misc]progress:  [ 38 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))>
* * * * [misc]progress:  [ 39 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))))>
* * * * [misc]progress:  [ 40 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (log1p (expm1 (* 2.0 (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 41 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (expm1 (log1p (* 2.0 (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 42 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (pow (* 2.0 (- (hypot re im) re)) 1))))>
* * * * [misc]progress:  [ 43 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (exp (log (* 2.0 (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 44 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (log (exp (* 2.0 (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 45 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (cbrt (* 2.0 (- (hypot re im) re))) (cbrt (* 2.0 (- (hypot re im) re)))) (cbrt (* 2.0 (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 46 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (cbrt (* (* (* 2.0 (- (hypot re im) re)) (* 2.0 (- (hypot re im) re))) (* 2.0 (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 47 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (sqrt (* 2.0 (- (hypot re im) re))) (sqrt (* 2.0 (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 48 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 1 (* 2.0 (- (hypot re im) re))))))>
* * * * [misc]progress:  [ 49 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (+ (* 2.0 (hypot re im)) (* 2.0 (- re))))))>
* [enter]simplify:  Simplifying (* 2.0 (- re))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (* 2.0 (- re))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (+ (* 2.0 (hypot re im)) (* 2.0 (- re))))))
* * * * [misc]progress:  [ 50 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (+ (* 2.0 (hypot re im)) (* 2.0 (- re))))))>
* [enter]simplify:  Simplifying (* 2.0 (- re))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (* 2.0 (- re))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (+ (* 2.0 (hypot re im)) (* 2.0 (- re))))))
* * * * [misc]progress:  [ 51 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (+ (* (hypot re im) 2.0) (* (- re) 2.0)))))>
* [enter]simplify:  Simplifying (* (- re) 2.0)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (* (- 2.0) re)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (+ (* (hypot re im) 2.0) (* (- 2.0) re)))))
* * * * [misc]progress:  [ 52 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (+ (* (hypot re im) 2.0) (* (- re) 2.0)))))>
* [enter]simplify:  Simplifying (* (- re) 2.0)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (* (- 2.0) re)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (+ (* (hypot re im) 2.0) (* (- 2.0) re)))))
* * * * [misc]progress:  [ 53 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* 2.0 (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (cbrt (- (hypot re im) re))))))>
* [enter]simplify:  Simplifying (cbrt (- (hypot re im) re))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (- (hypot re im) re))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* (* 2.0 (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (cbrt (- (hypot re im) re))))))
* * * * [misc]progress:  [ 54 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* 2.0 (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))))))>
* [enter]simplify:  Simplifying (sqrt (- (hypot re im) re))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (- (hypot re im) re))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* (* 2.0 (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))))))
* * * * [misc]progress:  [ 55 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* 2.0 1) (- (hypot re im) re)))))>
* [enter]simplify:  Simplifying (- (hypot re im) re)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to (- (hypot re im) re)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* (* 2.0 1) (- (hypot re im) re)))))
* * * * [misc]progress:  [ 56 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (- (pow (hypot re im) 3) (pow re 3))) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))))))>
* [enter]simplify:  Simplifying (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (fma (+ re (hypot re im)) re (* (hypot re im) (hypot re im)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (- (pow (hypot re im) 3) (pow re 3))) (fma (+ re (hypot re im)) re (* (hypot re im) (hypot re im)))))))
* * * * [misc]progress:  [ 57 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re))) (+ (hypot re im) re)))))>
* [enter]simplify:  Simplifying (+ (hypot re im) re)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (+ re (hypot re im))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re))) (+ re (hypot re im))))))
* * * * [misc]progress:  [ 58 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (- (hypot re im) re) 2.0))))>
* * * * [misc]progress:  [ 59 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))>
* [enter]simplify:  Simplifying (- im re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- im re)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))
* * * * [misc]progress:  [ 60 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0))))
* * * * [misc]progress:  [ 61 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* -2 re)))))>
* [enter]simplify:  Simplifying (* -2 re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (* re -2)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* re -2)))))
* * * * [misc]progress:  [ 62 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (/ (* im re) (sqrt 2.0))) (- (+ (* +nan.0 (* (pow im 2) (sqrt 2.0))) (- (* +nan.0 (* im (sqrt 2.0))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* im re) (sqrt 2.0))) (- (+ (* +nan.0 (* (pow im 2) (sqrt 2.0))) (- (* +nan.0 (* im (sqrt 2.0))))))))
* [misc]simplify:  Simplified (2 2) to (λ (re im) (* 0.5 +nan.0))
* * * * [misc]progress:  [ 63 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 0))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2) to (λ (re im) (* 0.5 0))
* * * * [misc]progress:  [ 64 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow re 2))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow re 2))))))))
* [misc]simplify:  Simplified (2 2) to (λ (re im) (* 0.5 +nan.0))
* * * * [misc]progress:  [ 65 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))>
* [enter]simplify:  Simplifying im
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to im
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))
* * * * [misc]progress:  [ 66 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re)))))>
* [enter]simplify:  Simplifying re
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to re
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- re re)))))
* * * * [misc]progress:  [ 67 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* -1 re) re)))))>
* [enter]simplify:  Simplifying (* -1 re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- re)
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (- re) re)))))
* * * * [misc]progress:  [ 68 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (- (* 2.0 im) (* 2.0 re)))))>
* [enter]simplify:  Simplifying (- (* 2.0 im) (* 2.0 re))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (* 2.0 (- im re))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))
* * * * [misc]progress:  [ 69 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt 0)))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt 0)))
* * * * [misc]progress:  [ 70 / 70 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* -4.0 re))))>
* [enter]simplify:  Simplifying (* -4.0 re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (* re -4.0)
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt (* re -4.0))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- (hypot re im) re)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 2 1 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 2 1)
* [misc]approximate:  Taking taylor expansion of (- (hypot re im) re) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (- (hypot re im) re) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (- (hypot re im) re) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (hypot re im) re) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ im 0) into im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in im
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
* [misc]approximate:  Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (- (hypot re im) re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (hypot re im) re)) in im
* [misc]taylor:  Taking taylor expansion of (- (hypot re im) re) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (+ re (- re)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt 1/2) (sqrt (/ 1 re)))
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (hypot re im) re)) in re
* [misc]taylor:  Taking taylor expansion of (- (hypot re im) re) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ im 0) into im
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (hypot re im) re)) in re
* [misc]taylor:  Taking taylor expansion of (- (hypot re im) re) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ im 0) into im
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (sqrt im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* -1/2 (sqrt (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of -1/2 in im
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* -1/2 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (pow (* im 1) 2)) (+ (* (- +nan.0) (* im re)) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 im) (- (+ (* +nan.0 (pow im 2)) (- (* +nan.0 (* im re)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ +nan.0 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
* [misc]taylor:  Taking taylor expansion of (/ +nan.0 (pow im 4)) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (pow im 4) in im
* [misc]backup-simplify:  Simplify (/ +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
* [misc]backup-simplify:  Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im
* [misc]taylor:  Taking taylor expansion of 1/8 in im
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 4)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 4) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 6)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 6) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1/8 1) into 1/8
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1/8 0) into 1/8
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/8) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 2)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- re))) 2)) (+ (* +nan.0 (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow re 2))))))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (hypot re im) re)) in im
* [misc]taylor:  Taking taylor expansion of (- (hypot re im) re) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (+ re (- re)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt 1/2) (sqrt (/ 1 re)))
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (hypot re im) re)) in re
* [misc]taylor:  Taking taylor expansion of (- (hypot re im) re) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ im 0) into im
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (hypot re im) re)) in re
* [misc]taylor:  Taking taylor expansion of (- (hypot re im) re) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ im 0) into im
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt im) (sqrt 2.0))
* [misc]taylor:  Taking taylor expansion of (* (sqrt im) (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt (/ 1 im)) (sqrt 2.0))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (* (sqrt (/ 1 im)) (sqrt 2.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 im)) (sqrt 2.0))) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 im)) (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (* 0 (sqrt 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* im (* (sqrt 2.0) re))) (- (+ (* +nan.0 (* (pow im 2) (sqrt 2.0))) (- (* +nan.0 (* im (sqrt 2.0))))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow im 4) in im
* [misc]backup-simplify:  Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
* [misc]backup-simplify:  Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow im 4) in im
* [misc]backup-simplify:  Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow im 6) in im
* [misc]backup-simplify:  Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (sqrt 2.0)))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (hypot re im) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 im) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* im 1)) into im
* [misc]approximate:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
* [misc]approximate:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (log1p (expm1 (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 2 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (expm1 (log1p (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 3 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))))))>
* [enter]simplify:  Simplifying (* (cbrt (hypot re im)) (cbrt (hypot re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im)))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))))))
* * * * [misc]progress:  [ 4 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))))>
* [enter]simplify:  Simplifying (sqrt (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))))
* * * * [misc]progress:  [ 5 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (fma 1 (hypot re im) (- re))))))>
* * * * [misc]progress:  [ 6 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (pow (- (hypot re im) re) 1)))))>
* * * * [misc]progress:  [ 7 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (exp (log (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 8 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (log (exp (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 9 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 10 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (cbrt (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 11 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 12 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (/ (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))))))>
* * * * [misc]progress:  [ 13 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (hypot re im) (- re))))))>
* * * * [misc]progress:  [ 14 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* 1 (- (hypot re im) re))))))>
* * * * [misc]progress:  [ 15 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (/ (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re))))))>
* * * * [misc]progress:  [ 16 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (hypot re im) (- re))))))>
* * * * [misc]progress:  [ 17 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (log1p (expm1 (sqrt (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 18 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (expm1 (log1p (sqrt (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 19 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (pow (- (hypot re im) re) 1/2))))>
* * * * [misc]progress:  [ 20 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (pow (sqrt (- (hypot re im) re)) 1))))>
* * * * [misc]progress:  [ 21 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (exp (log (sqrt (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 22 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (log (exp (sqrt (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 23 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (* (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (cbrt (sqrt (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 24 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (cbrt (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 25 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (* (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (sqrt (cbrt (- (hypot re im) re)))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (- (hypot re im) re)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (* (fabs (cbrt (- (hypot re im) re))) (sqrt (cbrt (- (hypot re im) re)))))))
* * * * [misc]progress:  [ 26 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (- (hypot re im) re)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (- (hypot re im) re)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))))))
* * * * [misc]progress:  [ 27 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (* (sqrt 1) (sqrt (- (hypot re im) re))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (* (sqrt 1) (sqrt (- (hypot re im) re))))))
* * * * [misc]progress:  [ 28 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))))))>
* [enter]simplify:  Simplifying (sqrt (- (pow (hypot re im) 3) (pow re 3)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (* (hypot re im) (hypot re im)) (hypot re im) (* (* re re) (- re))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (fma (* (hypot re im) (hypot re im)) (hypot re im) (* (* re re) (- re)))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))))))
* * * * [misc]progress:  [ 29 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (+ (hypot re im) re))))))>
* [enter]simplify:  Simplifying (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (161 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- (hypot re im) re) (+ re (hypot re im))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* (- (hypot re im) re) (+ re (hypot re im)))) (sqrt (+ (hypot re im) re))))))
* * * * [misc]progress:  [ 30 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 31 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (fabs (sqrt (- (hypot re im) re))))))>
* [enter]simplify:  Simplifying (sqrt (- (hypot re im) re))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (- (hypot re im) re))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (fabs (sqrt (- (hypot re im) re))))))
* * * * [misc]progress:  [ 32 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (* 1 (sqrt (- (hypot re im) re))))))>
* * * * [misc]progress:  [ 33 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log1p (expm1 (* (sqrt 2.0) (sqrt (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 34 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (expm1 (log1p (* (sqrt 2.0) (sqrt (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 35 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (- (hypot re im) re)) 1/2)))>
* [enter]simplify:  Simplifying (* 2.0 (- (hypot re im) re))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (* 2.0 (- (hypot re im) re))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* 2.0 (- (hypot re im) re)) 1/2)))
* * * * [misc]progress:  [ 36 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* (sqrt 2.0) (sqrt (- (hypot re im) re))) 1)))>
* [enter]simplify:  Simplifying (* (sqrt 2.0) (sqrt (- (hypot re im) re)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- (hypot re im) re)) (sqrt 2.0))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) 1)))
* * * * [misc]progress:  [ 37 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* (sqrt 2.0) (sqrt (- (hypot re im) re))) 1)))>
* * * * [misc]progress:  [ 38 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (exp (+ (log (sqrt 2.0)) (log (sqrt (- (hypot re im) re)))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt 2.0)) (log (sqrt (- (hypot re im) re))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (- (hypot re im) re))) (log (sqrt 2.0)))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (exp (+ (log (sqrt (- (hypot re im) re))) (log (sqrt 2.0))))))
* * * * [misc]progress:  [ 39 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (exp (log (* (sqrt 2.0) (sqrt (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 40 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log (exp (* (sqrt 2.0) (sqrt (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 41 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (cbrt (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (197 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- (hypot re im) re)) (* (- (hypot re im) re) (* 2.0 (sqrt 2.0))))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (cbrt (* (sqrt (- (hypot re im) re)) (* (- (hypot re im) re) (* 2.0 (sqrt 2.0)))))))
* * * * [misc]progress:  [ 42 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (cbrt (* (sqrt 2.0) (sqrt (- (hypot re im) re))))) (cbrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 43 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (cbrt (* (* (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (sqrt (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 44 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (hypot re im) re)))))>
* [enter]simplify:  Simplifying (* 2.0 (- (hypot re im) re))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (* 2.0 (- (hypot re im) re))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (hypot re im) re)))))
* * * * [misc]progress:  [ 45 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (sqrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))))))>
* * * * [misc]progress:  [ 46 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* 1 (* (sqrt 2.0) (sqrt (- (hypot re im) re))))))>
* * * * [misc]progress:  [ 47 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (cbrt (sqrt (- (hypot re im) re))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (- (hypot re im) re)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (- (hypot re im) re)))
* [misc]simplify:  Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt 2.0) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (cbrt (sqrt (- (hypot re im) re))))))
* * * * [misc]progress:  [ 48 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (sqrt (cbrt (- (hypot re im) re))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (- (hypot re im) re)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (- (hypot re im) re)))
* [misc]simplify:  Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt 2.0) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (sqrt (cbrt (- (hypot re im) re))))))
* * * * [misc]progress:  [ 49 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) (sqrt (sqrt (- (hypot re im) re)))) (sqrt (sqrt (- (hypot re im) re))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (- (hypot re im) re)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (- (hypot re im) re)))
* [misc]simplify:  Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt 2.0) (sqrt (sqrt (- (hypot re im) re)))) (sqrt (sqrt (- (hypot re im) re))))))
* * * * [misc]progress:  [ 50 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) (sqrt 1)) (sqrt (- (hypot re im) re)))))>
* [enter]simplify:  Simplifying (sqrt (- (hypot re im) re))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (- (hypot re im) re))
* [misc]simplify:  Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt 2.0) (sqrt 1)) (sqrt (- (hypot re im) re)))))
* * * * [misc]progress:  [ 51 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) (sqrt (sqrt (- (hypot re im) re)))) (sqrt (sqrt (- (hypot re im) re))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (- (hypot re im) re)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (- (hypot re im) re)))
* [misc]simplify:  Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt 2.0) (sqrt (sqrt (- (hypot re im) re)))) (sqrt (sqrt (- (hypot re im) re))))))
* * * * [misc]progress:  [ 52 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) 1) (sqrt (- (hypot re im) re)))))>
* [enter]simplify:  Simplifying (sqrt (- (hypot re im) re))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (- (hypot re im) re))
* [misc]simplify:  Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt 2.0) 1) (sqrt (- (hypot re im) re)))))
* * * * [misc]progress:  [ 53 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))))
* * * * [misc]progress:  [ 54 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt 2.0))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt 2.0))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))))
* * * * [misc]progress:  [ 55 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* 1 (* (sqrt 2.0) (sqrt (- (hypot re im) re))))))>
* * * * [misc]progress:  [ 56 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (+ re (hypot re im)) re (* (hypot re im) (hypot re im))))
* [misc]simplify:  Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (sqrt (fma (+ re (hypot re im)) re (* (hypot re im) (hypot re im)))))))
* * * * [misc]progress:  [ 57 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (+ (hypot re im) re)))))>
* [enter]simplify:  Simplifying (sqrt (+ (hypot re im) re))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (+ re (hypot re im)))
* [misc]simplify:  Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (+ re (hypot re im))))))
* * * * [misc]progress:  [ 58 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (- (hypot re im) re)) (sqrt 2.0))))>
* * * * [misc]progress:  [ 59 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- (log1p (expm1 (hypot re im))) re)))))>
* * * * [misc]progress:  [ 60 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- (expm1 (log1p (hypot re im))) re)))))>
* * * * [misc]progress:  [ 61 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>
* * * * [misc]progress:  [ 62 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- (pow (hypot re im) 1) re)))))>
* * * * [misc]progress:  [ 63 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- (exp (log (hypot re im))) re)))))>
* * * * [misc]progress:  [ 64 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- (log (exp (hypot re im))) re)))))>
* * * * [misc]progress:  [ 65 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)))))>
* * * * [misc]progress:  [ 66 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- (cbrt (* (* (hypot re im) (hypot re im)) (hypot re im))) re)))))>
* * * * [misc]progress:  [ 67 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))>
* * * * [misc]progress:  [ 68 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- (* 1 (hypot re im)) re)))))>
* * * * [misc]progress:  [ 69 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- im re)))))>
* [enter]simplify:  Simplifying (- im re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- im re)
* [misc]simplify:  Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- im re)))))
* * * * [misc]progress:  [ 70 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt 0))))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt 0))))
* * * * [misc]progress:  [ 71 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* -2 re)))))>
* [enter]simplify:  Simplifying (* -2 re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (* re -2)
* [misc]simplify:  Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* re -2)))))
* * * * [misc]progress:  [ 72 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (- (+ (* +nan.0 im) (- (+ (* +nan.0 (pow im 2)) (- (* +nan.0 (* im re))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 im) (- (+ (* +nan.0 (pow im 2)) (- (* +nan.0 (* im re)))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt 2.0) +nan.0)))
* * * * [misc]progress:  [ 73 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) 0)))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt 2.0) 0)))
* * * * [misc]progress:  [ 74 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow re 2)))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow re 2))))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt 2.0) +nan.0)))
* * * * [misc]progress:  [ 75 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (* im (* (sqrt 2.0) re))) (- (+ (* +nan.0 (* (pow im 2) (sqrt 2.0))) (- (* +nan.0 (* im (sqrt 2.0))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (* im (* (sqrt 2.0) re))) (- (+ (* +nan.0 (* (pow im 2) (sqrt 2.0))) (- (* +nan.0 (* im (sqrt 2.0))))))))
* [misc]simplify:  Simplified (2 2) to (λ (re im) (* 0.5 +nan.0))
* * * * [misc]progress:  [ 76 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 0))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2) to (λ (re im) (* 0.5 0))
* * * * [misc]progress:  [ 77 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (sqrt 2.0)))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (sqrt 2.0)))))))
* [misc]simplify:  Simplified (2 2) to (λ (re im) (* 0.5 +nan.0))
* * * * [misc]progress:  [ 78 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- im re)))))>
* [enter]simplify:  Simplifying im
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to im
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- im re)))))
* * * * [misc]progress:  [ 79 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- re re)))))>
* [enter]simplify:  Simplifying re
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to re
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- re re)))))
* * * * [misc]progress:  [ 80 / 80 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- (* -1 re) re)))))>
* [enter]simplify:  Simplifying (* -1 re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- re)
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- (- re) re)))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1 2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1 2)
* [misc]approximate:  Taking taylor expansion of (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (sqrt im) (sqrt im)) into im
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ im 0) into im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in im
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
* [misc]approximate:  Taking taylor expansion of (- (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in im
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- +nan.0) 0) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- +nan.0) 0) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))) 0))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))) 0) into (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 2)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 im)) (/ 1 re)) 2)) (* -1 (* 1 (/ 1 (/ 1 re)))))) into (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0)))
* [misc]approximate:  Taking taylor expansion of (- (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- +nan.0) 0) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- +nan.0) 0) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))) 0))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))) 0) into (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 2)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 (- im))) (/ 1 (- re))) 2)) (* 1 (* 1 (/ 1 (/ 1 (- re))))))) into (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0)))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (* (sqrt re) (sqrt re)) into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (+ re (- re)) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt re) 0) (* 0 (sqrt re))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 re) (pow 0 2) (+)) (* 2 (sqrt re))) into (* 1/4 (sqrt (/ 1 (pow re 3))))
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 re) (pow 0 2) (+)) (* 2 (sqrt re))) into (* 1/4 (sqrt (/ 1 (pow re 3))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt re) (* 1/4 (sqrt (/ 1 (pow re 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow re 3)))) (sqrt re)))) into (* 1/2 (/ 1 re))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (/ 1 re)) 0) into (* 1/2 (/ 1 re))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 re))) (+ (* 0 0) (* 0 0))) into (* 1.0 (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (* 1.0 (/ 1 re))) into (* (sqrt 1.0) (sqrt (/ 1 re)))
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow re 3)))))))) (* 2 (sqrt re))) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow re 3)))))))) (* 2 (sqrt re))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt re) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow re 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow re 3)))) 0) (* 0 (sqrt re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 re))) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1.0 (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (sqrt im) (sqrt im)) into im
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ im 0) into im
* [misc]backup-simplify:  Simplify (* 2.0 im) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 im)) into (* (sqrt im) (sqrt 2.0))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 2.0 -1) (* 0 im)) into (- 2.0)
* [misc]backup-simplify:  Simplify (/ (- 2.0) (* 2 (sqrt (* 2.0 im)))) into (* -1.0 (* (sqrt (/ 1 im)) (/ 1 (sqrt 2.0))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (sqrt im) (sqrt im)) into im
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ im 0) into im
* [misc]backup-simplify:  Simplify (* 2.0 im) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 im)) into (* (sqrt im) (sqrt 2.0))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 2.0 -1) (* 0 im)) into (- 2.0)
* [misc]backup-simplify:  Simplify (/ (- 2.0) (* 2 (sqrt (* 2.0 im)))) into (* -1.0 (* (sqrt (/ 1 im)) (/ 1 (sqrt 2.0))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt im) (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]taylor:  Taking taylor expansion of (* -1.0 (* (sqrt (/ 1 im)) (/ 1 (sqrt 2.0)))) in im
* [misc]taylor:  Taking taylor expansion of -1.0 in im
* [misc]backup-simplify:  Simplify -1.0 into -1.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 im)) (/ 1 (sqrt 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (/ 1 (sqrt 2.0))))) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (/ 1 (sqrt 2.0)))) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (* 0 (/ 1 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1.0 (- (* +nan.0 (/ 1 (sqrt 2.0))))) (+ (* 0 (- (* +nan.0 (/ 1 (sqrt 2.0))))) (* 0 0))) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (sqrt 2.0)))) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (/ 1 (sqrt 2.0)))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (/ (* im re) (sqrt 2.0))) (- (+ (* +nan.0 (* (pow im 2) (sqrt 2.0))) (- (* +nan.0 (* im (sqrt 2.0))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* 2.0 (- (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (/ 1 re)) into (- (/ 1 re))
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (- (/ 1 re))) into (- (+ (/ 1 re) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (+ (/ 1 re) (- +nan.0)))) (+ (* 0 0) (* 0 0))) into (- (+ (* 2.0 (/ 1 re)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 2.0 (/ 1 re)) (- +nan.0)))) into (sqrt (- (+ (* 2.0 (/ 1 re)) (- +nan.0))))
* [misc]backup-simplify:  Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))
* [misc]backup-simplify:  Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0)) 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- +nan.0) 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- +nan.0)) (+ (* 0 (- (+ (/ 1 re) (- +nan.0)))) (+ (* 0 0) (* 0 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt (- (+ (* 2.0 (/ 1 re)) (- +nan.0)))))) into (/ +nan.0 (sqrt (- (+ (* 2.0 (/ 1 re)) (- +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 2.0 -1) (* 0 0)) into (- 2.0)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 2.0) (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 2.0 -1) (* 0 0)) into (- 2.0)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 2.0) (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- +nan.0) 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- +nan.0)) (+ (* 0 -1) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- +nan.0) 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 -1) (* 0 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- (- +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow re 2))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* 2.0 (- (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (/ -1 re)) into (/ 1 re)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (/ 1 re)) into (- (/ 1 re) +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (/ 1 re) +nan.0)) (+ (* 0 0) (* 0 0))) into (- (* 2.0 (/ 1 re)) +nan.0)
* [misc]backup-simplify:  Simplify (sqrt (- (* 2.0 (/ 1 re)) +nan.0)) into (sqrt (- (* 2.0 (/ 1 re)) +nan.0))
* [misc]backup-simplify:  Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))
* [misc]backup-simplify:  Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0)) 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- +nan.0) 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- +nan.0)) (+ (* 0 (- (/ 1 re) +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt (- (* 2.0 (/ 1 re)) +nan.0)))) into (* +nan.0 (sqrt (/ 1 (- (* 2.0 (/ 1 re)) +nan.0))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- +nan.0) 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- +nan.0)) (+ (* 0 1) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- +nan.0) 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 1) (* 0 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- (- +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (pow (* 1 (/ 1 (- re))) 2)) (+ (* +nan.0 (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow re 2))))))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1 2 1)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt im) (sqrt im)) into im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* im 1)) into im
* [misc]approximate:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))) 0))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 2)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
* [misc]backup-simplify:  Simplify (/ (- (/ -1/8 (pow im 4)) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))))) (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
* [misc]backup-simplify:  Simplify (/ (- (/ -1/8 (pow im 4)) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))))) (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (+ (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))) +nan.0) (* (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))))) 0)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 2)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (* (pow (/ 1 im) -2) (pow (/ 1 re) 3))) (+ (- +nan.0) (* (- +nan.0) (pow (* (/ 1 (/ 1 im)) (/ 1 re)) 2)))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- (* +nan.0 (/ (pow im 2) (pow re 3))))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))) 0))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 2)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
* [misc]backup-simplify:  Simplify (/ (- (/ -1/8 (pow im 4)) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))))) (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
* [misc]backup-simplify:  Simplify (/ (- (/ -1/8 (pow im 4)) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))))) (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (+ (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))) +nan.0) (* (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))))) 0)))))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2)))))) in im
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 (pow im 2))))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 2)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (* (pow (/ 1 (- im)) -2) (pow (/ 1 (- re)) 3))) (+ (- +nan.0) (* (- +nan.0) (pow (* (/ 1 (/ 1 (- im))) (/ 1 (- re))) 2)))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- (* +nan.0 (/ (pow im 2) (pow re 3))))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1 2 1 2 1)
* [misc]approximate:  Taking taylor expansion of (hypot re im) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 im) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* im 1)) into im
* [misc]approximate:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
* [misc]approximate:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log1p (expm1 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))))>
* * * * [misc]progress:  [ 2 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (expm1 (log1p (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))))>
* * * * [misc]progress:  [ 3 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))))>
* [enter]simplify:  Simplifying (sqrt (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))))
* * * * [misc]progress:  [ 4 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 1)))))>
* * * * [misc]progress:  [ 5 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))))>
* * * * [misc]progress:  [ 6 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))))>
* * * * [misc]progress:  [ 7 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))))>
* * * * [misc]progress:  [ 8 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (* (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))))>
* * * * [misc]progress:  [ 9 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))))>
* * * * [misc]progress:  [ 10 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3)) (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))))))))>
* * * * [misc]progress:  [ 11 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))))))>
* * * * [misc]progress:  [ 12 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))))))>
* * * * [misc]progress:  [ 13 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re)) (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))))))>
* * * * [misc]progress:  [ 14 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re))))))>
* * * * [misc]progress:  [ 15 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log1p (expm1 (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))))>
* * * * [misc]progress:  [ 16 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (expm1 (log1p (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))))>
* * * * [misc]progress:  [ 17 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) 1/2)))>
* * * * [misc]progress:  [ 18 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) 1)))>
* * * * [misc]progress:  [ 19 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))))>
* * * * [misc]progress:  [ 20 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log (exp (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))))>
* * * * [misc]progress:  [ 21 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))) (cbrt (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))))) (cbrt (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))))>
* * * * [misc]progress:  [ 22 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (cbrt (* (* (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))) (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))))>
* * * * [misc]progress:  [ 23 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))>
* [enter]simplify:  Simplifying (sqrt 2.0)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 2.0)
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))
* * * * [misc]progress:  [ 24 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (- (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3)))) (sqrt (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))))>
* [enter]simplify:  Simplifying (sqrt (* 2.0 (- (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (211 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (* (hypot re im) 2.0) (* (hypot re im) (hypot re im)) (* (pow re 3) (- 2.0))))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (fma (* (hypot re im) 2.0) (* (hypot re im) (hypot re im)) (* (pow re 3) (- 2.0)))) (sqrt (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))))
* * * * [misc]progress:  [ 25 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re)))) (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))>
* [enter]simplify:  Simplifying (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (295 enodes)
* [exit]simplify:  Simplified to (sqrt (* (fma 2.0 (hypot re im) (* re 2.0)) (- (hypot re im) re)))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* (fma 2.0 (hypot re im) (* re 2.0)) (- (hypot re im) re))) (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))
* * * * [misc]progress:  [ 26 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))) (sqrt (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))))>
* * * * [misc]progress:  [ 27 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))))))>
* * * * [misc]progress:  [ 28 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (log1p (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))) re)))))>
* * * * [misc]progress:  [ 29 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (expm1 (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im))))) re)))))>
* * * * [misc]progress:  [ 30 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (hypot re im) (+ 1/2 1/2)) re)))))>
* [enter]simplify:  Simplifying (hypot re im)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to (hypot re im)
* [misc]simplify:  Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (hypot re im) (+ 1/2 1/2)) re)))))
* [enter]simplify:  Simplifying (+ 1/2 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (+ 1/2 1/2)
* [misc]simplify:  Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (hypot re im) (+ 1/2 1/2)) re)))))
* * * * [misc]progress:  [ 31 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (hypot re im)) (+ 1 1)) re)))))>
* [enter]simplify:  Simplifying (sqrt (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [misc]simplify:  Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (hypot re im)) (+ 1 1)) re)))))
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ 1 1)
* [misc]simplify:  Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (hypot re im)) (+ 1 1)) re)))))
* * * * [misc]progress:  [ 32 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (hypot re im) (hypot re im)) 1/2) re)))))>
* [enter]simplify:  Simplifying (* (hypot re im) (hypot re im))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (* (hypot re im) (hypot re im))
* [misc]simplify:  Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (hypot re im) (hypot re im)) 1/2) re)))))
* * * * [misc]progress:  [ 33 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 1) re)))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot re im)) (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (hypot re im)
* [misc]simplify:  Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (hypot re im) 1) re)))))
* * * * [misc]progress:  [ 34 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (hypot re im)) 2) re)))))>
* * * * [misc]progress:  [ 35 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (hypot re im)) (+ 1 1)) re)))))>
* [enter]simplify:  Simplifying (sqrt (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [misc]simplify:  Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (sqrt (hypot re im)) (+ 1 1)) re)))))
* * * * [misc]progress:  [ 36 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 1) re)))))>
* * * * [misc]progress:  [ 37 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im))))) re)))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im))))
* [misc]simplify:  Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im))))) re)))))
* * * * [misc]progress:  [ 38 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (exp (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) re)))))>
* * * * [misc]progress:  [ 39 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (log (exp (* (sqrt (hypot re im)) (sqrt (hypot re im))))) re)))))>
* * * * [misc]progress:  [ 40 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (cbrt (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))))) re)))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (36 enodes)
* [exit]simplify:  Simplified to (pow (hypot re im) 3)
* [misc]simplify:  Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (cbrt (pow (hypot re im) 3)) re)))))
* * * * [misc]progress:  [ 41 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) re)))))>
* * * * [misc]progress:  [ 42 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (cbrt (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))) re)))))>
* * * * [misc]progress:  [ 43 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (* (hypot re im) (hypot re im))) re)))))>
* [enter]simplify:  Simplifying (* (hypot re im) (hypot re im))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (* (hypot re im) (hypot re im))
* [misc]simplify:  Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (sqrt (* (hypot re im) (hypot re im))) re)))))
* * * * [misc]progress:  [ 44 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) re)))))>
* * * * [misc]progress:  [ 45 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (hypot re im) re)))))>
* * * * [misc]progress:  [ 46 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)))))>
* * * * [misc]progress:  [ 47 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (cbrt (sqrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot re im)))
* [misc]simplify:  Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (cbrt (sqrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 48 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (hypot re im)))
* [misc]simplify:  Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 49 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot re im)))
* [misc]simplify:  Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 50 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt 1)) (sqrt (hypot re im))) re)))))>
* [enter]simplify:  Simplifying (sqrt (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [misc]simplify:  Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt 1)) (sqrt (hypot re im))) re)))))
* * * * [misc]progress:  [ 51 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot re im)))
* [misc]simplify:  Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 52 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) 1) (sqrt (hypot re im))) re)))))>
* [enter]simplify:  Simplifying (sqrt (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [misc]simplify:  Simplified (2 2 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) 1) (sqrt (hypot re im))) re)))))
* * * * [misc]progress:  [ 53 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
* [misc]simplify:  Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 54 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (hypot re im)))
* [misc]simplify:  Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (fabs (cbrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 55 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot re im)))
* [misc]simplify:  Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 56 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [misc]simplify:  Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 57 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot re im)))
* [misc]simplify:  Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 58 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)))))>
* * * * [misc]progress:  [ 59 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))>
* * * * [misc]progress:  [ 60 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (log1p (expm1 (hypot re im))))) re)))))>
* * * * [misc]progress:  [ 61 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (expm1 (log1p (hypot re im))))) re)))))>
* * * * [misc]progress:  [ 62 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
* * * * [misc]progress:  [ 63 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (pow (hypot re im) 1))) re)))))>
* * * * [misc]progress:  [ 64 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (exp (log (hypot re im))))) re)))))>
* * * * [misc]progress:  [ 65 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (log (exp (hypot re im))))) re)))))>
* * * * [misc]progress:  [ 66 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)))))>
* * * * [misc]progress:  [ 67 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (cbrt (* (* (hypot re im) (hypot re im)) (hypot re im))))) re)))))>
* * * * [misc]progress:  [ 68 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) re)))))>
* * * * [misc]progress:  [ 69 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im)))) re)))))>
* * * * [misc]progress:  [ 70 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))>
* [enter]simplify:  Simplifying (- im re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- im re)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))
* * * * [misc]progress:  [ 71 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0)))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 +nan.0))))
* * * * [misc]progress:  [ 72 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0)))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0)))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 +nan.0))))
* * * * [misc]progress:  [ 73 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (/ (* im re) (sqrt 2.0))) (- (+ (* +nan.0 (* (pow im 2) (sqrt 2.0))) (- (* +nan.0 (* im (sqrt 2.0))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* im re) (sqrt 2.0))) (- (+ (* +nan.0 (* (pow im 2) (sqrt 2.0))) (- (* +nan.0 (* im (sqrt 2.0))))))))
* [misc]simplify:  Simplified (2 2) to (λ (re im) (* 0.5 +nan.0))
* * * * [misc]progress:  [ 74 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow re 2))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow re 2))))))))
* [misc]simplify:  Simplified (2 2) to (λ (re im) (* 0.5 +nan.0))
* * * * [misc]progress:  [ 75 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow re 2))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 re)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow re 2))))))))
* [misc]simplify:  Simplified (2 2) to (λ (re im) (* 0.5 +nan.0))
* * * * [misc]progress:  [ 76 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))>
* [enter]simplify:  Simplifying im
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to im
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))
* * * * [misc]progress:  [ 77 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (- (+ +nan.0 (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- (* +nan.0 (/ (pow im 2) (pow re 3)))))))) re)))))>
* [enter]simplify:  Simplifying (- (+ +nan.0 (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- (* +nan.0 (/ (pow im 2) (pow re 3))))))))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- +nan.0 re)))))
* * * * [misc]progress:  [ 78 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (- (+ +nan.0 (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- (* +nan.0 (/ (pow im 2) (pow re 3)))))))) re)))))>
* [enter]simplify:  Simplifying (- (+ +nan.0 (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- (* +nan.0 (/ (pow im 2) (pow re 3))))))))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- +nan.0 re)))))
* * * * [misc]progress:  [ 79 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt im)) re)))))>
* [enter]simplify:  Simplifying im
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to im
* [misc]simplify:  Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt im)) re)))))
* * * * [misc]progress:  [ 80 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt re)) re)))))>
* [enter]simplify:  Simplifying re
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to re
* [misc]simplify:  Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt re)) re)))))
* * * * [misc]progress:  [ 81 / 81 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (* -1 re))) re)))))>
* [enter]simplify:  Simplifying (* -1 re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- re)
* [misc]simplify:  Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (- re))) re)))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1 2)
* [misc]approximate:  Taking taylor expansion of (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re) in im
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot re im)) (cbrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in im
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (* 1/3 (log re)) into (* 1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log re))) into (pow re 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in im
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (* 1/3 (log re)) into (* 1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log re))) into (pow re 1/3)
* [misc]backup-simplify:  Simplify (* (pow re 1/3) (pow re 1/3)) into (pow (pow re 2) 1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow (pow re 2) 1/3)) into (pow re 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log re))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log re))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow re 1/3) 0) (* 0 (pow re 1/3))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow (pow re 2) 1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in im
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (* 1/3 (log re)) into (* 1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log re))) into (pow re 1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow re 1/3)) into (pow re 1/6)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log re))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re) in re
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot re im)) (cbrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in re
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (log im) into (log im)
* [misc]backup-simplify:  Simplify (* 1/3 (log im)) into (* 1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in re
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (log im) into (log im)
* [misc]backup-simplify:  Simplify (* 1/3 (log im)) into (* 1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
* [misc]backup-simplify:  Simplify (* (pow im 1/3) (pow im 1/3)) into (pow (pow im 2) 1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow (pow im 2) 1/3)) into (pow im 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow im 1/3) 0) (* 0 (pow im 1/3))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow (pow im 2) 1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in re
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (log im) into (log im)
* [misc]backup-simplify:  Simplify (* 1/3 (log im)) into (* 1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow im 1/3)) into (pow im 1/6)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re) in re
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot re im)) (cbrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in re
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (log im) into (log im)
* [misc]backup-simplify:  Simplify (* 1/3 (log im)) into (* 1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in re
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (log im) into (log im)
* [misc]backup-simplify:  Simplify (* 1/3 (log im)) into (* 1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
* [misc]backup-simplify:  Simplify (* (pow im 1/3) (pow im 1/3)) into (pow (pow im 2) 1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow (pow im 2) 1/3)) into (pow im 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow im 1/3) 0) (* 0 (pow im 1/3))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow (pow im 2) 1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in re
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (log im) into (log im)
* [misc]backup-simplify:  Simplify (* 1/3 (log im)) into (* 1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow im 1/3)) into (pow im 1/6)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (sqrt im) (pow im 1/3)) into (pow (pow im 5) 1/6)
* [misc]backup-simplify:  Simplify (* (pow (pow im 5) 1/6) (pow im 1/6)) into im
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ im 0) into im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) 0) (* 0 (pow im 1/3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow im 5) 1/6) 0) (* 0 (pow im 1/6))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in im
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
* [misc]backup-simplify:  Simplify (/ (- (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow 0 2) (+)) (* 2 (pow im 1/6))) into (* 1/12 (pow (/ 1 (pow im 11)) 1/6))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (pow im 1/3) (* 1/6 (pow (/ 1 (pow im 5)) 1/3))) (+ (* 0 0) (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow im 1/3)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
* [misc]backup-simplify:  Simplify (/ (- (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow 0 2) (+)) (* 2 (pow im 1/3))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (* 1/6 (pow (/ 1 (pow im 5)) 1/3))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (pow im 1/3)))) into (* 5/12 (pow (/ 1 (pow im 7)) 1/6))
* [misc]backup-simplify:  Simplify (+ (* (pow (pow im 5) 1/6) (* 1/12 (pow (/ 1 (pow im 11)) 1/6))) (+ (* 0 0) (* (* 5/12 (pow (/ 1 (pow im 7)) 1/6)) (pow im 1/6)))) into (* 1/2 (/ 1 im))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/12 (pow (/ 1 (pow im 11)) 1/6)))))) (* 2 (pow im 1/6))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow im 1/3) 0) (+ (* 0 (* 1/6 (pow (/ 1 (pow im 5)) 1/3))) (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 0) (* 0 (pow im 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/6 (pow (/ 1 (pow im 5)) 1/3)))))) (* 2 (pow im 1/3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/6 (pow (/ 1 (pow im 5)) 1/3))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (pow im 1/3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow im 5) 1/6) 0) (+ (* 0 (* 1/12 (pow (/ 1 (pow im 11)) 1/6))) (+ (* (* 5/12 (pow (/ 1 (pow im 7)) 1/6)) 0) (* 0 (pow im 1/6))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
* [misc]approximate:  Taking taylor expansion of (- (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im))))) (/ 1 re)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (- (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im))))) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
* [misc]backup-simplify:  Simplify (* (pow im -1/3) (pow im -1/3)) into (pow (/ 1 (pow im 2)) 1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow (/ 1 (pow im 2)) 1/3)) into (pow (/ 1 im) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log im)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log im)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow im -1/3) 0) (* 0 (pow im -1/3))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow (/ 1 (pow im 2)) 1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow im -1/3)) into (pow (/ 1 im) 1/6)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log im)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im -1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (- (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im))))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]backup-simplify:  Simplify (* (pow re -1/3) (pow re -1/3)) into (pow (/ 1 (pow re 2)) 1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow (/ 1 (pow re 2)) 1/3)) into (pow (/ 1 re) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow re -1/3) 0) (* 0 (pow re -1/3))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow (/ 1 (pow re 2)) 1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow re -1/3)) into (pow (/ 1 re) 1/6)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re -1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im))))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]backup-simplify:  Simplify (* (pow re -1/3) (pow re -1/3)) into (pow (/ 1 (pow re 2)) 1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow (/ 1 (pow re 2)) 1/3)) into (pow (/ 1 re) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow re -1/3) 0) (* 0 (pow re -1/3))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow (/ 1 (pow re 2)) 1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow re -1/3)) into (pow (/ 1 re) 1/6)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re -1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 (pow (/ 1 re) 1/3)) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (/ 1 re) 1/6)) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in im
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (pow (/ 1 re) 1/3))) into (- (* +nan.0 (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* (- (* +nan.0 (pow (/ 1 re) 1/3))) (pow (/ 1 re) 1/6))) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (sqrt (/ 1 re)))) 0) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (sqrt (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqrt (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 re)) into (sqrt (/ 1 re))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 re)))) into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3))) (pow 0 2) (+)) (* 2 (pow (/ 1 re) 1/6))) into (* 1/12 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/6)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (+ (* (pow re -1/3) (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))) (+ (* 0 0) (* (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3))) (pow re -1/3)))) into (* 1/3 (* (/ 1 (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/3 (* (/ 1 (pow im 2)) (pow (/ 1 (pow re 2)) 1/3))) (pow 0 2) (+)) (* 2 (pow (/ 1 re) 1/3))) into (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))) (+ (* +nan.0 0) (* +nan.0 (pow (/ 1 re) 1/3)))) into (- (* +nan.0 (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* 1/12 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/6)))) (+ (* (- (* +nan.0 (pow (/ 1 re) 1/3))) 0) (* (- (* +nan.0 (pow (/ 1 re) 1/3))) (pow (/ 1 re) 1/6)))) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (sqrt (/ 1 re)))) 0) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (sqrt (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqrt (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 re)) into (sqrt (/ 1 re))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 re)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt (/ 1 re))) into (* +nan.0 (sqrt (/ 1 re)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt (/ 1 re)))) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt (/ 1 re)))) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/12 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/6))))))) (* 2 (pow (/ 1 re) 1/6))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow re -1/3) 0) (+ (* 0 (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))) (+ (* (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3))) 0) (* 0 (pow re -1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3))))))) (* 2 (pow (/ 1 re) 1/3))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* +nan.0 (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))) (+ (* +nan.0 0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (pow (/ 1 re) 1/3))))) into (- (+ (* +nan.0 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3))) (- (* +nan.0 (pow (/ 1 re) 1/3)))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* (- (* +nan.0 (pow (/ 1 re) 1/3))) (* 1/12 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/6)))) (+ (* (- (* +nan.0 (pow (/ 1 re) 1/3))) 0) (* (- (+ (* +nan.0 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3))) (- (* +nan.0 (pow (/ 1 re) 1/3))))) (pow (/ 1 re) 1/6))))) into (- (+ (* +nan.0 (sqrt (/ 1 re))) (- (* +nan.0 (* (/ 1 (pow im 2)) (sqrt (/ 1 re)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (* +nan.0 (sqrt (/ 1 re))) (- (* +nan.0 (* (/ 1 (pow im 2)) (sqrt (/ 1 re))))))) 0) into (- (+ (* +nan.0 (sqrt (/ 1 re))) (- (* +nan.0 (* (/ 1 (pow im 2)) (sqrt (/ 1 re)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (sqrt (/ 1 re))) (- (* +nan.0 (* (/ 1 (pow im 2)) (sqrt (/ 1 re))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqrt (/ 1 re))) (- (* +nan.0 (* (/ 1 (pow im 2)) (sqrt (/ 1 re)))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqrt (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 re)) into (sqrt (/ 1 re))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 re)))) into 0
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (/ 1 (pow im 2)) (sqrt (/ 1 re))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ 1 (pow im 2)) (sqrt (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow im 2)) (sqrt (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 re)) into (sqrt (/ 1 re))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (sqrt (/ 1 re)))) into 0
* [misc]backup-simplify:  Simplify (* 1 (sqrt (/ 1 re))) into (sqrt (/ 1 re))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqrt (/ 1 re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt (/ 1 re))) into (* +nan.0 (sqrt (/ 1 re)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt (/ 1 re)))) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt (/ 1 re)))) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (sqrt (/ 1 (/ 1 re))))) (* 1 (/ 1 re))) (+ (- (* +nan.0 (sqrt (/ 1 (/ 1 re))))) (* -1 (* 1 (/ 1 (/ 1 re)))))) into (- (+ (* +nan.0 (sqrt (/ 1 re))) (- re (* +nan.0 (sqrt re)))))
* [misc]approximate:  Taking taylor expansion of (- (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (/ 1 (- re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (- (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
* [misc]backup-simplify:  Simplify (* (pow im -1/3) (pow im -1/3)) into (pow (/ 1 (pow im 2)) 1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow (/ 1 (pow im 2)) 1/3)) into (pow (/ 1 im) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log im)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log im)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow im -1/3) 0) (* 0 (pow im -1/3))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow (/ 1 (pow im 2)) 1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow im -1/3)) into (pow (/ 1 im) 1/6)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log im)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im -1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (- (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]backup-simplify:  Simplify (* (pow re -1/3) (pow re -1/3)) into (pow (/ 1 (pow re 2)) 1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow (/ 1 (pow re 2)) 1/3)) into (pow (/ 1 re) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow re -1/3) 0) (* 0 (pow re -1/3))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow (/ 1 (pow re 2)) 1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow re -1/3)) into (pow (/ 1 re) 1/6)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re -1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]backup-simplify:  Simplify (* (pow re -1/3) (pow re -1/3)) into (pow (/ 1 (pow re 2)) 1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow (/ 1 (pow re 2)) 1/3)) into (pow (/ 1 re) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow re -1/3) 0) (* 0 (pow re -1/3))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow (/ 1 (pow re 2)) 1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow re -1/3)) into (pow (/ 1 re) 1/6)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re -1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 (pow (/ 1 re) 1/3)) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (/ 1 re) 1/6)) into 0
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (pow (/ 1 re) 1/3))) into (- (* +nan.0 (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* (- (* +nan.0 (pow (/ 1 re) 1/3))) (pow (/ 1 re) 1/6))) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (sqrt (/ 1 re)))) 0) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (sqrt (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqrt (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 re)) into (sqrt (/ 1 re))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 re)))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3))) (pow 0 2) (+)) (* 2 (pow (/ 1 re) 1/6))) into (* 1/12 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/6)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (+ (* (pow re -1/3) (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))) (+ (* 0 0) (* (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3))) (pow re -1/3)))) into (* 1/3 (* (/ 1 (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/3 (* (/ 1 (pow im 2)) (pow (/ 1 (pow re 2)) 1/3))) (pow 0 2) (+)) (* 2 (pow (/ 1 re) 1/3))) into (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))) (+ (* +nan.0 0) (* +nan.0 (pow (/ 1 re) 1/3)))) into (- (* +nan.0 (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* 1/12 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/6)))) (+ (* (- (* +nan.0 (pow (/ 1 re) 1/3))) 0) (* (- (* +nan.0 (pow (/ 1 re) 1/3))) (pow (/ 1 re) 1/6)))) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (sqrt (/ 1 re)))) 0) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (sqrt (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqrt (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 re)) into (sqrt (/ 1 re))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 re)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt (/ 1 re))) into (* +nan.0 (sqrt (/ 1 re)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt (/ 1 re)))) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt (/ 1 re)))) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/12 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/6))))))) (* 2 (pow (/ 1 re) 1/6))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow re -1/3) 0) (+ (* 0 (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))) (+ (* (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3))) 0) (* 0 (pow re -1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3))))))) (* 2 (pow (/ 1 re) 1/3))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* +nan.0 (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))) (+ (* +nan.0 0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (pow (/ 1 re) 1/3))))) into (- (+ (* +nan.0 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3))) (- (* +nan.0 (pow (/ 1 re) 1/3)))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* (- (* +nan.0 (pow (/ 1 re) 1/3))) (* 1/12 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/6)))) (+ (* (- (* +nan.0 (pow (/ 1 re) 1/3))) 0) (* (- (+ (* +nan.0 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3))) (- (* +nan.0 (pow (/ 1 re) 1/3))))) (pow (/ 1 re) 1/6))))) into (- (+ (* +nan.0 (sqrt (/ 1 re))) (- (* +nan.0 (* (/ 1 (pow im 2)) (sqrt (/ 1 re)))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (* +nan.0 (sqrt (/ 1 re))) (- (* +nan.0 (* (/ 1 (pow im 2)) (sqrt (/ 1 re))))))) 0) into (- (+ (* +nan.0 (sqrt (/ 1 re))) (- (* +nan.0 (* (/ 1 (pow im 2)) (sqrt (/ 1 re)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (sqrt (/ 1 re))) (- (* +nan.0 (* (/ 1 (pow im 2)) (sqrt (/ 1 re))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqrt (/ 1 re))) (- (* +nan.0 (* (/ 1 (pow im 2)) (sqrt (/ 1 re)))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqrt (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 re)) into (sqrt (/ 1 re))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 re)))) into 0
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (/ 1 (pow im 2)) (sqrt (/ 1 re))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ 1 (pow im 2)) (sqrt (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow im 2)) (sqrt (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 re)) into (sqrt (/ 1 re))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (sqrt (/ 1 re)))) into 0
* [misc]backup-simplify:  Simplify (* 1 (sqrt (/ 1 re))) into (sqrt (/ 1 re))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqrt (/ 1 re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt (/ 1 re))) into (* +nan.0 (sqrt (/ 1 re)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt (/ 1 re)))) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt (/ 1 re)))) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (sqrt (/ 1 (/ 1 (- re)))))) (* 1 (/ 1 (- re)))) (+ (- (* +nan.0 (sqrt (/ 1 (/ 1 (- re)))))) (* 1 (* 1 (/ 1 (/ 1 (- re))))))) into (- (+ (* +nan.0 (sqrt (* -1 re))) (- re (* +nan.0 (/ (sqrt (* -1 re)) re)))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re) in im
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot re im)) (cbrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in im
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (* 1/3 (log re)) into (* 1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log re))) into (pow re 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in im
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (* 1/3 (log re)) into (* 1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log re))) into (pow re 1/3)
* [misc]backup-simplify:  Simplify (* (pow re 1/3) (pow re 1/3)) into (pow (pow re 2) 1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow (pow re 2) 1/3)) into (pow re 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log re))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log re))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow re 1/3) 0) (* 0 (pow re 1/3))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow (pow re 2) 1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in im
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (* 1/3 (log re)) into (* 1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log re))) into (pow re 1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow re 1/3)) into (pow re 1/6)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log re))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (* (sqrt re) (pow re 1/3)) into (pow (pow re 5) 1/6)
* [misc]backup-simplify:  Simplify (* (pow (pow re 5) 1/6) (pow re 1/6)) into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (+ re (- re)) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt re) 0) (* 0 (pow re 1/3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow re 5) 1/6) 0) (* 0 (pow re 1/6))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 re)) 1)) (pow re 1)))) 2) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow re 2))) (+ (* 0 0) (* 0 (log re)))) into (* 1/6 (/ 1 (pow re 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow re 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow re 5)) 1/3))
* [misc]backup-simplify:  Simplify (/ (- (* 1/6 (pow (/ 1 (pow re 5)) 1/3)) (pow 0 2) (+)) (* 2 (pow re 1/6))) into (* 1/12 (pow (/ 1 (pow re 11)) 1/6))
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 re)) 1)) (pow re 1)))) 2) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow re 2))) (+ (* 0 0) (* 0 (log re)))) into (* 1/6 (/ 1 (pow re 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow re 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow re 5)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 re)) 1)) (pow re 1)))) 2) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow re 2))) (+ (* 0 0) (* 0 (log re)))) into (* 1/6 (/ 1 (pow re 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow re 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow re 5)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (pow re 1/3) (* 1/6 (pow (/ 1 (pow re 5)) 1/3))) (+ (* 0 0) (* (* 1/6 (pow (/ 1 (pow re 5)) 1/3)) (pow re 1/3)))) into (* 1/3 (pow (/ 1 (pow re 4)) 1/3))
* [misc]backup-simplify:  Simplify (/ (- (* 1/3 (pow (/ 1 (pow re 4)) 1/3)) (pow 0 2) (+)) (* 2 (pow re 1/3))) into (* 1/6 (pow (/ 1 (pow re 5)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 re) (pow 0 2) (+)) (* 2 (sqrt re))) into (* 1/4 (sqrt (/ 1 (pow re 3))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt re) (* 1/6 (pow (/ 1 (pow re 5)) 1/3))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow re 3)))) (pow re 1/3)))) into (* 5/12 (pow (/ 1 (pow re 7)) 1/6))
* [misc]backup-simplify:  Simplify (+ (* (pow (pow re 5) 1/6) (* 1/12 (pow (/ 1 (pow re 11)) 1/6))) (+ (* 0 0) (* (* 5/12 (pow (/ 1 (pow re 7)) 1/6)) (pow re 1/6)))) into (* 1/2 (/ 1 re))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (/ 1 re)) 0) into (* 1/2 (/ 1 re))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 re))) (+ (* 0 0) (* 0 0))) into (* 1.0 (/ 1 re))
* [misc]backup-simplify:  Simplify (sqrt (* 1.0 (/ 1 re))) into (* (sqrt 1.0) (sqrt (/ 1 re)))
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow re 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 re)) 1)) (pow re 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow re 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow re 2))) (+ (* 0 0) (* 0 (log re))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow re 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/12 (pow (/ 1 (pow re 11)) 1/6)))))) (* 2 (pow re 1/6))) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow re 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 re)) 1)) (pow re 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow re 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow re 2))) (+ (* 0 0) (* 0 (log re))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow re 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow re 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 re)) 1)) (pow re 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow re 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow re 2))) (+ (* 0 0) (* 0 (log re))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow re 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow re 1/3) 0) (+ (* 0 (* 1/6 (pow (/ 1 (pow re 5)) 1/3))) (+ (* (* 1/6 (pow (/ 1 (pow re 5)) 1/3)) 0) (* 0 (pow re 1/3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/6 (pow (/ 1 (pow re 5)) 1/3)))))) (* 2 (pow re 1/3))) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow re 3)))))))) (* 2 (sqrt re))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt re) 0) (+ (* 0 (* 1/6 (pow (/ 1 (pow re 5)) 1/3))) (+ (* (* 1/4 (sqrt (/ 1 (pow re 3)))) 0) (* 0 (pow re 1/3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow re 5) 1/6) 0) (+ (* 0 (* 1/12 (pow (/ 1 (pow re 11)) 1/6))) (+ (* (* 5/12 (pow (/ 1 (pow re 7)) 1/6)) 0) (* 0 (pow re 1/6))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 re))) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1.0 (/ 1 re))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re) in re
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot re im)) (cbrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in re
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (log im) into (log im)
* [misc]backup-simplify:  Simplify (* 1/3 (log im)) into (* 1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in re
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (log im) into (log im)
* [misc]backup-simplify:  Simplify (* 1/3 (log im)) into (* 1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
* [misc]backup-simplify:  Simplify (* (pow im 1/3) (pow im 1/3)) into (pow (pow im 2) 1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow (pow im 2) 1/3)) into (pow im 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow im 1/3) 0) (* 0 (pow im 1/3))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow (pow im 2) 1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in re
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (log im) into (log im)
* [misc]backup-simplify:  Simplify (* 1/3 (log im)) into (* 1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow im 1/3)) into (pow im 1/6)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (sqrt im) (pow im 1/3)) into (pow (pow im 5) 1/6)
* [misc]backup-simplify:  Simplify (* (pow (pow im 5) 1/6) (pow im 1/6)) into im
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ im 0) into im
* [misc]backup-simplify:  Simplify (* 2.0 im) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 im)) into (* (sqrt im) (sqrt 2.0))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) 0) (* 0 (pow im 1/3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow im 5) 1/6) 0) (* 0 (pow im 1/6))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 2.0 -1) (* 0 im)) into (- 2.0)
* [misc]backup-simplify:  Simplify (/ (- 2.0) (* 2 (sqrt (* 2.0 im)))) into (* -1.0 (* (sqrt (/ 1 im)) (/ 1 (sqrt 2.0))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re) in re
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot re im)) (cbrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in re
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (log im) into (log im)
* [misc]backup-simplify:  Simplify (* 1/3 (log im)) into (* 1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in re
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (log im) into (log im)
* [misc]backup-simplify:  Simplify (* 1/3 (log im)) into (* 1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
* [misc]backup-simplify:  Simplify (* (pow im 1/3) (pow im 1/3)) into (pow (pow im 2) 1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow (pow im 2) 1/3)) into (pow im 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow im 1/3) 0) (* 0 (pow im 1/3))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow (pow im 2) 1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in re
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (log im) into (log im)
* [misc]backup-simplify:  Simplify (* 1/3 (log im)) into (* 1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow im 1/3)) into (pow im 1/6)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (sqrt im) (pow im 1/3)) into (pow (pow im 5) 1/6)
* [misc]backup-simplify:  Simplify (* (pow (pow im 5) 1/6) (pow im 1/6)) into im
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ im 0) into im
* [misc]backup-simplify:  Simplify (* 2.0 im) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 im)) into (* (sqrt im) (sqrt 2.0))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) 0) (* 0 (pow im 1/3))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow im 5) 1/6) 0) (* 0 (pow im 1/6))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 2.0 -1) (* 0 im)) into (- 2.0)
* [misc]backup-simplify:  Simplify (/ (- 2.0) (* 2 (sqrt (* 2.0 im)))) into (* -1.0 (* (sqrt (/ 1 im)) (/ 1 (sqrt 2.0))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt im) (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]taylor:  Taking taylor expansion of (* -1.0 (* (sqrt (/ 1 im)) (/ 1 (sqrt 2.0)))) in im
* [misc]taylor:  Taking taylor expansion of -1.0 in im
* [misc]backup-simplify:  Simplify -1.0 into -1.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 im)) (/ 1 (sqrt 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (/ 1 (sqrt 2.0))))) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (/ 1 (sqrt 2.0)))) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (* 0 (/ 1 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1.0 (- (* +nan.0 (/ 1 (sqrt 2.0))))) (+ (* 0 (- (* +nan.0 (/ 1 (sqrt 2.0))))) (* 0 0))) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ 1 (sqrt 2.0)))) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (/ 1 (sqrt 2.0)))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (/ (* im re) (sqrt 2.0))) (- (+ (* +nan.0 (* (pow im 2) (sqrt 2.0))) (- (* +nan.0 (* im (sqrt 2.0))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* 2.0 (- (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im))))) (/ 1 re)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im))))) (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im))))) (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im))))) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
* [misc]backup-simplify:  Simplify (* (pow im -1/3) (pow im -1/3)) into (pow (/ 1 (pow im 2)) 1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow (/ 1 (pow im 2)) 1/3)) into (pow (/ 1 im) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log im)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log im)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow im -1/3) 0) (* 0 (pow im -1/3))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow (/ 1 (pow im 2)) 1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow im -1/3)) into (pow (/ 1 im) 1/6)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log im)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im -1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (* 0 (pow (/ 1 im) 1/3)) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (/ 1 im) 1/6)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (pow (/ 1 im) 1/3))) into (- (* +nan.0 (pow (/ 1 im) 1/3)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* (- (* +nan.0 (pow (/ 1 im) 1/3))) (pow (/ 1 im) 1/6))) into (- (* +nan.0 (sqrt (/ 1 im))))
* [misc]backup-simplify:  Simplify (- (/ 1 re)) into (- (/ 1 re))
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (sqrt (/ 1 im)))) (- (/ 1 re))) into (- (+ (/ 1 re) (- (* +nan.0 (sqrt (/ 1 im))))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (+ (/ 1 re) (- (* +nan.0 (sqrt (/ 1 im))))))) (* 0 0)) into (- (+ (* 2.0 (/ 1 re)) (- (* +nan.0 (sqrt (/ 1 im))))))
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 2.0 (/ 1 re)) (- (* +nan.0 (sqrt (/ 1 im))))))) into (sqrt (- (+ (* 2.0 (/ 1 re)) (- (* +nan.0 (sqrt (/ 1 im)))))))
* [misc]backup-simplify:  Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow re 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow re 2))) (+ (* 0 0) (* 0 (- (log im))))) into (* 1/6 (/ 1 (pow re 2)))
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow re 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 im) 1/3) (/ 1 (pow re 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/6 (* (pow (/ 1 im) 1/3) (/ 1 (pow re 2)))) (pow 0 2) (+)) (* 2 (pow (/ 1 im) 1/6))) into (* 1/12 (* (pow (/ 1 im) 1/6) (/ 1 (pow re 2))))
* [misc]backup-simplify:  Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow re 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow re 2))) (+ (* 0 0) (* 0 (- (log im))))) into (* 1/6 (/ 1 (pow re 2)))
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow re 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 im) 1/3) (/ 1 (pow re 2))))
* [misc]backup-simplify:  Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow re 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow re 2))) (+ (* 0 0) (* 0 (- (log im))))) into (* 1/6 (/ 1 (pow re 2)))
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow re 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 im) 1/3) (/ 1 (pow re 2))))
* [misc]backup-simplify:  Simplify (+ (* (pow im -1/3) (* 1/6 (* (pow (/ 1 im) 1/3) (/ 1 (pow re 2))))) (+ (* 0 0) (* (* 1/6 (* (pow (/ 1 im) 1/3) (/ 1 (pow re 2)))) (pow im -1/3)))) into (* 1/3 (* (pow (/ 1 (pow im 2)) 1/3) (/ 1 (pow re 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/3 (* (pow (/ 1 (pow im 2)) 1/3) (/ 1 (pow re 2)))) (pow 0 2) (+)) (* 2 (pow (/ 1 im) 1/3))) into (* 1/6 (* (pow (/ 1 im) 1/3) (/ 1 (pow re 2))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 (* 1/6 (* (pow (/ 1 im) 1/3) (/ 1 (pow re 2))))) (+ (* +nan.0 0) (* +nan.0 (pow (/ 1 im) 1/3)))) into (- (* +nan.0 (pow (/ 1 im) 1/3)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* 1/12 (* (pow (/ 1 im) 1/6) (/ 1 (pow re 2))))) (+ (* (- (* +nan.0 (pow (/ 1 im) 1/3))) 0) (* (- (* +nan.0 (pow (/ 1 im) 1/3))) (pow (/ 1 im) 1/6)))) into (- (* +nan.0 (sqrt (/ 1 im))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (sqrt (/ 1 im)))) 0) into (- (* +nan.0 (sqrt (/ 1 im))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (* +nan.0 (sqrt (/ 1 im))))) (+ (* 0 (- (+ (/ 1 re) (- (* +nan.0 (sqrt (/ 1 im))))))) (* 0 0))) into (- (* +nan.0 (sqrt (/ 1 im))))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (sqrt (/ 1 im)))) (* 2 (sqrt (- (+ (* 2.0 (/ 1 re)) (- (* +nan.0 (sqrt (/ 1 im))))))))) into (* +nan.0 (* (sqrt (/ 1 im)) (/ 1 (sqrt (- (+ (* 2.0 (/ 1 re)) (- (* +nan.0 (sqrt (/ 1 im))))))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im))))) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im))))) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im))))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]backup-simplify:  Simplify (* (pow re -1/3) (pow re -1/3)) into (pow (/ 1 (pow re 2)) 1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow (/ 1 (pow re 2)) 1/3)) into (pow (/ 1 re) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow re -1/3) 0) (* 0 (pow re -1/3))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow (/ 1 (pow re 2)) 1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow re -1/3)) into (pow (/ 1 re) 1/6)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re -1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 (pow (/ 1 re) 1/3)) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (/ 1 re) 1/6)) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 2.0 -1) into -2.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -2.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im))))) (/ 1 re)))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im))))) (/ 1 re))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im))))) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) (sqrt (cbrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]backup-simplify:  Simplify (* (pow re -1/3) (pow re -1/3)) into (pow (/ 1 (pow re 2)) 1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow (/ 1 (pow re 2)) 1/3)) into (pow (/ 1 re) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow re -1/3) 0) (* 0 (pow re -1/3))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow (/ 1 (pow re 2)) 1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow re -1/3)) into (pow (/ 1 re) 1/6)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re -1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 (pow (/ 1 re) 1/3)) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (/ 1 re) 1/6)) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* 2.0 -1) into -2.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -2.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (pow (/ 1 re) 1/3))) into (- (* +nan.0 (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* (- (* +nan.0 (pow (/ 1 re) 1/3))) (pow (/ 1 re) 1/6))) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (sqrt (/ 1 re)))) 0) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (* +nan.0 (sqrt (/ 1 re))))) (* 0 -1)) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]backup-simplify:  Simplify (/ (- (- (* +nan.0 (sqrt (/ 1 re)))) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqrt (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 re)) into (sqrt (/ 1 re))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 re)))) into 0
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt (/ 1 re))) into (* +nan.0 (sqrt (/ 1 re)))
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)) into (- (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (* +nan.0 (- (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)))) into (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0))) into (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3))) (pow 0 2) (+)) (* 2 (pow (/ 1 re) 1/6))) into (* 1/12 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/6)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (+ (* (pow re -1/3) (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))) (+ (* 0 0) (* (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3))) (pow re -1/3)))) into (* 1/3 (* (/ 1 (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/3 (* (/ 1 (pow im 2)) (pow (/ 1 (pow re 2)) 1/3))) (pow 0 2) (+)) (* 2 (pow (/ 1 re) 1/3))) into (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))) (+ (* +nan.0 0) (* +nan.0 (pow (/ 1 re) 1/3)))) into (- (* +nan.0 (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* 1/12 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/6)))) (+ (* (- (* +nan.0 (pow (/ 1 re) 1/3))) 0) (* (- (* +nan.0 (pow (/ 1 re) 1/3))) (pow (/ 1 re) 1/6)))) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (sqrt (/ 1 re)))) 0) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (* +nan.0 (sqrt (/ 1 re))))) (+ (* 0 (- (* +nan.0 (sqrt (/ 1 re))))) (* 0 -1))) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]backup-simplify:  Simplify (/ (- (- (* +nan.0 (sqrt (/ 1 re)))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqrt (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 re)) into (sqrt (/ 1 re))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 re)))) into 0
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt (/ 1 re))) into (* +nan.0 (sqrt (/ 1 re)))
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)) into (- (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (* +nan.0 (- (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)))) into (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0))) into (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 (/ 1 re)))) (- +nan.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 (/ 1 re)))) (- +nan.0))) (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (sqrt (/ 1 (pow re 3)))) (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (sqrt (/ 1 re))) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow re 2))))))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* 2.0 (- (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (/ 1 (- re))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (/ 1 (- re))))) in im
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (/ 1 (- re)))) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
* [misc]backup-simplify:  Simplify (* (pow im -1/3) (pow im -1/3)) into (pow (/ 1 (pow im 2)) 1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow (/ 1 (pow im 2)) 1/3)) into (pow (/ 1 im) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log im)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log im)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow im -1/3) 0) (* 0 (pow im -1/3))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow (/ 1 (pow im 2)) 1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow im -1/3)) into (pow (/ 1 im) 1/6)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log im)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im -1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]backup-simplify:  Simplify (* 0 (pow (/ 1 im) 1/3)) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (/ 1 im) 1/6)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (pow (/ 1 im) 1/3))) into (- (* +nan.0 (pow (/ 1 im) 1/3)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* (- (* +nan.0 (pow (/ 1 im) 1/3))) (pow (/ 1 im) 1/6))) into (- (* +nan.0 (sqrt (/ 1 im))))
* [misc]backup-simplify:  Simplify (- (/ -1 re)) into (/ 1 re)
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (sqrt (/ 1 im)))) (/ 1 re)) into (- (/ 1 re) (* +nan.0 (sqrt (/ 1 im))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (/ 1 re) (* +nan.0 (sqrt (/ 1 im))))) (* 0 0)) into (- (* 2.0 (/ 1 re)) (* +nan.0 (sqrt (/ 1 im))))
* [misc]backup-simplify:  Simplify (sqrt (- (* 2.0 (/ 1 re)) (* +nan.0 (sqrt (/ 1 im))))) into (sqrt (- (* 2.0 (/ 1 re)) (* +nan.0 (sqrt (/ 1 im)))))
* [misc]backup-simplify:  Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow re 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow re 2))) (+ (* 0 0) (* 0 (- (log im))))) into (* 1/6 (/ 1 (pow re 2)))
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow re 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 im) 1/3) (/ 1 (pow re 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/6 (* (pow (/ 1 im) 1/3) (/ 1 (pow re 2)))) (pow 0 2) (+)) (* 2 (pow (/ 1 im) 1/6))) into (* 1/12 (* (pow (/ 1 im) 1/6) (/ 1 (pow re 2))))
* [misc]backup-simplify:  Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow re 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow re 2))) (+ (* 0 0) (* 0 (- (log im))))) into (* 1/6 (/ 1 (pow re 2)))
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow re 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 im) 1/3) (/ 1 (pow re 2))))
* [misc]backup-simplify:  Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow re 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow re 2))) (+ (* 0 0) (* 0 (- (log im))))) into (* 1/6 (/ 1 (pow re 2)))
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow re 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 im) 1/3) (/ 1 (pow re 2))))
* [misc]backup-simplify:  Simplify (+ (* (pow im -1/3) (* 1/6 (* (pow (/ 1 im) 1/3) (/ 1 (pow re 2))))) (+ (* 0 0) (* (* 1/6 (* (pow (/ 1 im) 1/3) (/ 1 (pow re 2)))) (pow im -1/3)))) into (* 1/3 (* (pow (/ 1 (pow im 2)) 1/3) (/ 1 (pow re 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/3 (* (pow (/ 1 (pow im 2)) 1/3) (/ 1 (pow re 2)))) (pow 0 2) (+)) (* 2 (pow (/ 1 im) 1/3))) into (* 1/6 (* (pow (/ 1 im) 1/3) (/ 1 (pow re 2))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 (* 1/6 (* (pow (/ 1 im) 1/3) (/ 1 (pow re 2))))) (+ (* +nan.0 0) (* +nan.0 (pow (/ 1 im) 1/3)))) into (- (* +nan.0 (pow (/ 1 im) 1/3)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* 1/12 (* (pow (/ 1 im) 1/6) (/ 1 (pow re 2))))) (+ (* (- (* +nan.0 (pow (/ 1 im) 1/3))) 0) (* (- (* +nan.0 (pow (/ 1 im) 1/3))) (pow (/ 1 im) 1/6)))) into (- (* +nan.0 (sqrt (/ 1 im))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (sqrt (/ 1 im)))) 0) into (- (* +nan.0 (sqrt (/ 1 im))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (* +nan.0 (sqrt (/ 1 im))))) (+ (* 0 (- (/ 1 re) (* +nan.0 (sqrt (/ 1 im))))) (* 0 0))) into (- (* +nan.0 (sqrt (/ 1 im))))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (sqrt (/ 1 im)))) (* 2 (sqrt (- (* 2.0 (/ 1 re)) (* +nan.0 (sqrt (/ 1 im))))))) into (* +nan.0 (sqrt (/ 1 (* im (- (* 2.0 (/ 1 re)) (* +nan.0 (sqrt (/ 1 im))))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]backup-simplify:  Simplify (* (pow re -1/3) (pow re -1/3)) into (pow (/ 1 (pow re 2)) 1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow (/ 1 (pow re 2)) 1/3)) into (pow (/ 1 re) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow re -1/3) 0) (* 0 (pow re -1/3))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow (/ 1 (pow re 2)) 1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow re -1/3)) into (pow (/ 1 re) 1/6)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re -1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 (pow (/ 1 re) 1/3)) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (/ 1 re) 1/6)) into 0
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* 2.0 (- (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (/ 1 (- re))))) in re
* [misc]taylor:  Taking taylor expansion of (* 2.0 (- (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (/ 1 (- re)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (- (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]backup-simplify:  Simplify (* (pow re -1/3) (pow re -1/3)) into (pow (/ 1 (pow re 2)) 1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow (/ 1 (pow re 2)) 1/3)) into (pow (/ 1 re) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow re -1/3) 0) (* 0 (pow re -1/3))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow (/ 1 (pow re 2)) 1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]backup-simplify:  Simplify (sqrt (pow re -1/3)) into (pow (/ 1 re) 1/6)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re -1/3)))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* 0 (pow (/ 1 re) 1/3)) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (/ 1 re) 1/6)) into 0
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (pow (/ 1 re) 1/3))) into (- (* +nan.0 (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* (- (* +nan.0 (pow (/ 1 re) 1/3))) (pow (/ 1 re) 1/6))) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (sqrt (/ 1 re)))) 0) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (* +nan.0 (sqrt (/ 1 re))))) (* 0 1)) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]backup-simplify:  Simplify (/ (- (- (* +nan.0 (sqrt (/ 1 re)))) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqrt (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 re)) into (sqrt (/ 1 re))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 re)))) into 0
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt (/ 1 re))) into (* +nan.0 (sqrt (/ 1 re)))
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)) into (- (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (* +nan.0 (- (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)))) into (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0))) into (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3))) (pow 0 2) (+)) (* 2 (pow (/ 1 re) 1/6))) into (* 1/12 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/6)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (+ (* (pow re -1/3) (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))) (+ (* 0 0) (* (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3))) (pow re -1/3)))) into (* 1/3 (* (/ 1 (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/3 (* (/ 1 (pow im 2)) (pow (/ 1 (pow re 2)) 1/3))) (pow 0 2) (+)) (* 2 (pow (/ 1 re) 1/3))) into (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))) (+ (* +nan.0 0) (* +nan.0 (pow (/ 1 re) 1/3)))) into (- (* +nan.0 (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* 1/12 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/6)))) (+ (* (- (* +nan.0 (pow (/ 1 re) 1/3))) 0) (* (- (* +nan.0 (pow (/ 1 re) 1/3))) (pow (/ 1 re) 1/6)))) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (sqrt (/ 1 re)))) 0) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (* +nan.0 (sqrt (/ 1 re))))) (+ (* 0 (- (* +nan.0 (sqrt (/ 1 re))))) (* 0 1))) into (- (* +nan.0 (sqrt (/ 1 re))))
* [misc]backup-simplify:  Simplify (/ (- (- (* +nan.0 (sqrt (/ 1 re)))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (sqrt (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 re)) into (sqrt (/ 1 re))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 re)))) into 0
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt (/ 1 re))) into (* +nan.0 (sqrt (/ 1 re)))
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)) into (- (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (* +nan.0 (- (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)))) into (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0))) into (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 re))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 (/ 1 (- re))))) (- +nan.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (* +nan.0 (+ (* +nan.0 (sqrt (/ 1 (/ 1 (- re))))) (- +nan.0))) (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ (sqrt (* -1 re)) (pow re 2))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (* +nan.0 (/ (sqrt (* -1 re)) re)))))))))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1 2 1 1 2 1)
* [misc]approximate:  Taking taylor expansion of (* (cbrt (hypot re im)) (cbrt (hypot re im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot re im)) (cbrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in im
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (* 1/3 (log re)) into (* 1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log re))) into (pow re 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in im
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (* 1/3 (log re)) into (* 1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log re))) into (pow re 1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot re im)) (cbrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in re
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (log im) into (log im)
* [misc]backup-simplify:  Simplify (* 1/3 (log im)) into (* 1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in re
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (log im) into (log im)
* [misc]backup-simplify:  Simplify (* 1/3 (log im)) into (* 1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot re im)) (cbrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in re
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (log im) into (log im)
* [misc]backup-simplify:  Simplify (* 1/3 (log im)) into (* 1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in re
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (log im) into (log im)
* [misc]backup-simplify:  Simplify (* 1/3 (log im)) into (* 1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
* [misc]backup-simplify:  Simplify (* (pow im 1/3) (pow im 1/3)) into (pow (pow im 2) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow (pow im 2) 1/3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
* [misc]backup-simplify:  Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* 2/3 (log im))) into (pow im 2/3)
* [misc]backup-simplify:  Simplify (pow im 2/3) into (pow im 2/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow im 1/3) 0) (* 0 (pow im 1/3))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
* [misc]backup-simplify:  Simplify (+ (* (pow im 1/3) (* 1/6 (pow (/ 1 (pow im 5)) 1/3))) (+ (* 0 0) (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow im 1/3)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
* [misc]taylor:  Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow im 4))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 4)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 4) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* -4/3 (log im))) into (pow im -4/3)
* [misc]backup-simplify:  Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow im 1/3) 0) (+ (* 0 (* 1/6 (pow (/ 1 (pow im 5)) 1/3))) (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 0) (* 0 (pow im 1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow (/ 1 (pow im 4)) 1/3) (pow re 2))))
* [misc]approximate:  Taking taylor expansion of (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]backup-simplify:  Simplify (* (pow re -1/3) (pow re -1/3)) into (pow (/ 1 (pow re 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow re 2))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow re 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow re 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log re))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log re)) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (* 2 (log re)) into (* 2 (log re))
* [misc]backup-simplify:  Simplify (exp (* 2 (log re))) into (pow re 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
* [misc]backup-simplify:  Simplify (pow (/ 1 (pow re 2)) 1/3) into (pow (/ 1 (pow re 2)) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow re -1/3) 0) (* 0 (pow re -1/3))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log re))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (+ (* (pow re -1/3) (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))) (+ (* 0 0) (* (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3))) (pow re -1/3)))) into (* 1/3 (* (/ 1 (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)))
* [misc]taylor:  Taking taylor expansion of (* 1/3 (* (/ 1 (pow im 2)) (pow (/ 1 (pow re 2)) 1/3))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow re 2))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow re 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow re 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log re))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log re)) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (* 2 (log re)) into (* 2 (log re))
* [misc]backup-simplify:  Simplify (exp (* 2 (log re))) into (pow re 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log re))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow re 2)) 1/3))) into 0
* [misc]backup-simplify:  Simplify (* 1 (pow (/ 1 (pow re 2)) 1/3)) into (pow (/ 1 (pow re 2)) 1/3)
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) 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 re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow re -1/3) 0) (+ (* 0 (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))) (+ (* (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3))) 0) (* 0 (pow re -1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (/ 1 (pow (/ 1 re) 2)) 1/3) into (pow (pow re 2) 1/3)
* [misc]approximate:  Taking taylor expansion of (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]taylor:  Taking taylor expansion of (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]backup-simplify:  Simplify (* (pow re -1/3) (pow re -1/3)) into (pow (/ 1 (pow re 2)) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow re 2))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow re 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow re 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log re))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log re)) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (* 2 (log re)) into (* 2 (log re))
* [misc]backup-simplify:  Simplify (exp (* 2 (log re))) into (pow re 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
* [misc]backup-simplify:  Simplify (pow (/ 1 (pow re 2)) 1/3) into (pow (/ 1 (pow re 2)) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow re -1/3) 0) (* 0 (pow re -1/3))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log re))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))
* [misc]backup-simplify:  Simplify (+ (* (pow re -1/3) (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))) (+ (* 0 0) (* (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3))) (pow re -1/3)))) into (* 1/3 (* (/ 1 (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)))
* [misc]taylor:  Taking taylor expansion of (* 1/3 (* (/ 1 (pow im 2)) (pow (/ 1 (pow re 2)) 1/3))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow im 2)) (pow (/ 1 (pow re 2)) 1/3)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow re 2))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow re 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow re 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log re))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log re)) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (* 2 (log re)) into (* 2 (log re))
* [misc]backup-simplify:  Simplify (exp (* 2 (log re))) into (pow re 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log re))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow re 2)) 1/3))) into 0
* [misc]backup-simplify:  Simplify (* 1 (pow (/ 1 (pow re 2)) 1/3)) into (pow (/ 1 (pow re 2)) 1/3)
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) 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 re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow re -1/3) 0) (+ (* 0 (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))) (+ (* (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3))) 0) (* 0 (pow re -1/3))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (/ 1 (pow (/ 1 (- re)) 2)) 1/3) into (pow (pow re 2) 1/3)
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1 2 1 2 1)
* [misc]approximate:  Taking taylor expansion of (cbrt (hypot re im)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in im
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (* 1/3 (log re)) into (* 1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log re))) into (pow re 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in re
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (log im) into (log im)
* [misc]backup-simplify:  Simplify (* 1/3 (log im)) into (* 1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot re im)) in re
* [misc]taylor:  Rewrote expression to (pow (hypot re im) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (log im) into (log im)
* [misc]backup-simplify:  Simplify (* 1/3 (log im)) into (* 1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
* [misc]taylor:  Taking taylor expansion of (pow im 1/3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log im))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log im)) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log im)) 0) into (log im)
* [misc]backup-simplify:  Simplify (* 1/3 (log im)) into (* 1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
* [misc]backup-simplify:  Simplify (pow im 1/3) into (pow im 1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log im)) 0) into (log im)
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
* [misc]taylor:  Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im
* [misc]taylor:  Taking taylor expansion of 1/6 in im
* [misc]backup-simplify:  Simplify 1/6 into 1/6
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow im 5))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 5)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 5) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* -5/3 (log im))) into (pow im -5/3)
* [misc]backup-simplify:  Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
* [misc]backup-simplify:  Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log im)) 0) into (log im)
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log im)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log im)) 0) into (log im)
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow (* 1 re) 2)) (pow im 1/3)) into (+ (* 1/6 (* (pow (/ 1 (pow im 5)) 1/3) (pow re 2))) (pow im 1/3))
* [misc]approximate:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]taylor:  Taking taylor expansion of (pow re -1/3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* -1/3 (log re))) in im
* [misc]taylor:  Taking taylor expansion of (* -1/3 (log re)) in im
* [misc]taylor:  Taking taylor expansion of -1/3 in im
* [misc]backup-simplify:  Simplify -1/3 into -1/3
* [misc]taylor:  Taking taylor expansion of (log re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (* -1/3 (log re)) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]backup-simplify:  Simplify (pow re -1/3) into (pow re -1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/3 0) (* 0 (log re))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))
* [misc]taylor:  Taking taylor expansion of (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3))) in im
* [misc]taylor:  Taking taylor expansion of 1/6 in im
* [misc]backup-simplify:  Simplify 1/6 into 1/6
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 re) 1/3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (log (/ 1 re)) into (log (/ 1 re))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow (/ 1 re) 1/3))) into 0
* [misc]backup-simplify:  Simplify (* 1 (pow (/ 1 re) 1/3)) into (pow (/ 1 re) 1/3)
* [misc]backup-simplify:  Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) 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 re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3)
* [misc]approximate:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Rewrote expression to (pow (hypot (/ 1 (- re)) (/ 1 (- im))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]taylor:  Taking taylor expansion of (pow re -1/3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* -1/3 (log re))) in im
* [misc]taylor:  Taking taylor expansion of (* -1/3 (log re)) in im
* [misc]taylor:  Taking taylor expansion of -1/3 in im
* [misc]backup-simplify:  Simplify -1/3 into -1/3
* [misc]taylor:  Taking taylor expansion of (log re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (* -1/3 (log re)) into (* -1/3 (log re))
* [misc]backup-simplify:  Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
* [misc]backup-simplify:  Simplify (pow re -1/3) into (pow re -1/3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/3 0) (* 0 (log re))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)))
* [misc]taylor:  Taking taylor expansion of (* 1/6 (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3))) in im
* [misc]taylor:  Taking taylor expansion of 1/6 in im
* [misc]backup-simplify:  Simplify 1/6 into 1/6
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow im 2)) (pow (/ 1 re) 1/3)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 re) 1/3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (log (/ 1 re)) into (log (/ 1 re))
* [misc]backup-simplify:  Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow (/ 1 re) 1/3))) into 0
* [misc]backup-simplify:  Simplify (* 1 (pow (/ 1 re) 1/3)) into (pow (/ 1 re) 1/3)
* [misc]backup-simplify:  Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) 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 re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log1p (expm1 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))))>
* * * * [misc]progress:  [ 2 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (expm1 (log1p (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))))>
* * * * [misc]progress:  [ 3 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im))) (- re))))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))) (- re))))))
* * * * [misc]progress:  [ 4 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re) 1)))))>
* * * * [misc]progress:  [ 5 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))))>
* * * * [misc]progress:  [ 6 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))))>
* * * * [misc]progress:  [ 7 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)) (cbrt (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re))) (cbrt (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))))>
* * * * [misc]progress:  [ 8 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (* (* (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re) (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)) (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))))>
* * * * [misc]progress:  [ 9 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)) (sqrt (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))))>
* * * * [misc]progress:  [ 10 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (pow (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) 3) (pow re 3)) (+ (* (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im))))) (+ (* re re) (* (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re))))))))>
* * * * [misc]progress:  [ 11 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) (- re))))))>
* * * * [misc]progress:  [ 12 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re))))))>
* * * * [misc]progress:  [ 13 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im))))) (* re re)) (+ (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re))))))>
* * * * [misc]progress:  [ 14 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) (- re))))))>
* * * * [misc]progress:  [ 15 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log1p (expm1 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))))>
* * * * [misc]progress:  [ 16 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (expm1 (log1p (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))))>
* * * * [misc]progress:  [ 17 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)) 1/2)))>
* * * * [misc]progress:  [ 18 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re))) 1)))>
* * * * [misc]progress:  [ 19 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))))>
* * * * [misc]progress:  [ 20 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log (exp (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))))>
* * * * [misc]progress:  [ 21 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))) (cbrt (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re))))) (cbrt (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))))>
* * * * [misc]progress:  [ 22 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (cbrt (* (* (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re))) (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))) (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))))>
* * * * [misc]progress:  [ 23 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (sqrt 2.0)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 2.0)
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 24 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (- (pow (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) 3) (pow re 3)))) (sqrt (+ (* (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im))))) (+ (* re re) (* (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))))>
* [enter]simplify:  Simplifying (sqrt (* 2.0 (- (pow (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) 3) (pow re 3))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (341 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (* (* (sqrt (cbrt (hypot re im))) (fabs (cbrt (hypot re im)))) (* 2.0 (sqrt (hypot re im)))) (* (* (fabs (cbrt (hypot re im))) (cbrt (hypot re im))) (* (fabs (cbrt (hypot re im))) (hypot re im))) (* (pow re 3) (- 2.0))))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (fma (* (* (sqrt (cbrt (hypot re im))) (fabs (cbrt (hypot re im)))) (* 2.0 (sqrt (hypot re im)))) (* (* (fabs (cbrt (hypot re im))) (cbrt (hypot re im))) (* (fabs (cbrt (hypot re im))) (hypot re im))) (* (pow re 3) (- 2.0)))) (sqrt (+ (* (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im))))) (+ (* re re) (* (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))))
* * * * [misc]progress:  [ 25 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (- (* (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im))))) (* re re)))) (sqrt (+ (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (sqrt (* 2.0 (- (* (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im))))) (* re re))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (202 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (* (* 2.0 (sqrt (hypot re im))) (fabs (cbrt (hypot re im)))) (* (* (cbrt (hypot re im)) (sqrt (hypot re im))) (fabs (cbrt (hypot re im)))) (* (- 2.0) (* re re))))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (fma (* (* 2.0 (sqrt (hypot re im))) (fabs (cbrt (hypot re im)))) (* (* (cbrt (hypot re im)) (sqrt (hypot re im))) (fabs (cbrt (hypot re im)))) (* (- 2.0) (* re re)))) (sqrt (+ (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 26 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))) (sqrt (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))))>
* * * * [misc]progress:  [ 27 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re))))))>
* * * * [misc]progress:  [ 28 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (log1p (expm1 (* (cbrt (hypot re im)) (cbrt (hypot re im))))))) (sqrt (cbrt (hypot re im)))) re)))))>
* * * * [misc]progress:  [ 29 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (expm1 (log1p (* (cbrt (hypot re im)) (cbrt (hypot re im))))))) (sqrt (cbrt (hypot re im)))) re)))))>
* * * * [misc]progress:  [ 30 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (pow (hypot re im) (+ 1/3 1/3)))) (sqrt (cbrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (hypot re im)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to (hypot re im)
* [misc]simplify:  Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (pow (hypot re im) (+ 1/3 1/3)))) (sqrt (cbrt (hypot re im)))) re)))))
* [enter]simplify:  Simplifying (+ 1/3 1/3)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (+ 1/3 1/3)
* [misc]simplify:  Simplified (2 2 1 2 1 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (pow (hypot re im) (+ 1/3 1/3)))) (sqrt (cbrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 31 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (pow (cbrt (hypot re im)) (+ 1 1)))) (sqrt (cbrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (cbrt (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (hypot re im))
* [misc]simplify:  Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (pow (cbrt (hypot re im)) (+ 1 1)))) (sqrt (cbrt (hypot re im)))) re)))))
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ 1 1)
* [misc]simplify:  Simplified (2 2 1 2 1 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (pow (cbrt (hypot re im)) (+ 1 1)))) (sqrt (cbrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 32 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (pow (* (hypot re im) (hypot re im)) 1/3))) (sqrt (cbrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (* (hypot re im) (hypot re im))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (* (hypot re im) (hypot re im))
* [misc]simplify:  Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (pow (* (hypot re im) (hypot re im)) 1/3))) (sqrt (cbrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 33 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (pow (* (cbrt (hypot re im)) (cbrt (hypot re im))) 1))) (sqrt (cbrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (* (cbrt (hypot re im)) (cbrt (hypot re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im)))
* [misc]simplify:  Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (pow (* (cbrt (hypot re im)) (cbrt (hypot re im))) 1))) (sqrt (cbrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 34 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (pow (cbrt (hypot re im)) 2))) (sqrt (cbrt (hypot re im)))) re)))))>
* * * * [misc]progress:  [ 35 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (pow (cbrt (hypot re im)) (+ 1 1)))) (sqrt (cbrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (cbrt (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (hypot re im))
* [misc]simplify:  Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (pow (cbrt (hypot re im)) (+ 1 1)))) (sqrt (cbrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 36 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (pow (* (cbrt (hypot re im)) (cbrt (hypot re im))) 1))) (sqrt (cbrt (hypot re im)))) re)))))>
* * * * [misc]progress:  [ 37 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (exp (+ (log (cbrt (hypot re im))) (log (cbrt (hypot re im))))))) (sqrt (cbrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (+ (log (cbrt (hypot re im))) (log (cbrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (+ (log (cbrt (hypot re im))) (log (cbrt (hypot re im))))
* [misc]simplify:  Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (exp (+ (log (cbrt (hypot re im))) (log (cbrt (hypot re im))))))) (sqrt (cbrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 38 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (exp (log (* (cbrt (hypot re im)) (cbrt (hypot re im))))))) (sqrt (cbrt (hypot re im)))) re)))))>
* * * * [misc]progress:  [ 39 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (log (exp (* (cbrt (hypot re im)) (cbrt (hypot re im))))))) (sqrt (cbrt (hypot re im)))) re)))))>
* * * * [misc]progress:  [ 40 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (cbrt (* (hypot re im) (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (* (hypot re im) (hypot re im))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (* (hypot re im) (hypot re im))
* [misc]simplify:  Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (cbrt (* (hypot re im) (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 41 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))))) (sqrt (cbrt (hypot re im)))) re)))))>
* * * * [misc]progress:  [ 42 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (cbrt (* (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (cbrt (hypot re im)) (cbrt (hypot re im))))))) (sqrt (cbrt (hypot re im)))) re)))))>
* * * * [misc]progress:  [ 43 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))))) (sqrt (cbrt (hypot re im)))) re)))))>
* * * * [misc]progress:  [ 44 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* 1 (* (cbrt (hypot re im)) (cbrt (hypot re im)))))) (sqrt (cbrt (hypot re im)))) re)))))>
* * * * [misc]progress:  [ 45 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (cbrt (cbrt (hypot re im)))))) (sqrt (cbrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (cbrt (cbrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (hypot re im)))
* [misc]simplify:  Simplified (2 2 1 2 1 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (cbrt (cbrt (hypot re im)))))) (sqrt (cbrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 46 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im)))))) (sqrt (cbrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot re im)))
* [misc]simplify:  Simplified (2 2 1 2 1 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im)))))) (sqrt (cbrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 47 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt 1)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (cbrt (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (hypot re im))
* [misc]simplify:  Simplified (2 2 1 2 1 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt 1)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 48 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))) (cbrt (cbrt (hypot re im)))))) (sqrt (cbrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (cbrt (cbrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (hypot re im)))
* [misc]simplify:  Simplified (2 2 1 2 1 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))) (cbrt (cbrt (hypot re im)))))) (sqrt (cbrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 49 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (sqrt (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im)))))) (sqrt (cbrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (hypot re im)))
* [misc]simplify:  Simplified (2 2 1 2 1 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (sqrt (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im)))))) (sqrt (cbrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 50 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) 1) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (cbrt (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (hypot re im))
* [misc]simplify:  Simplified (2 2 1 2 1 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) 1) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 51 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (cbrt (cbrt (hypot re im))) (cbrt (hypot re im)))))) (sqrt (cbrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
* [misc]simplify:  Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (cbrt (cbrt (hypot re im))) (cbrt (hypot re im)))))) (sqrt (cbrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 52 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (hypot re im)))))) (sqrt (cbrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot re im)))
* [misc]simplify:  Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (hypot re im)))))) (sqrt (cbrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 53 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt 1) (* (cbrt (hypot re im)) (cbrt (hypot re im)))))) (sqrt (cbrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cbrt 1)
* [misc]simplify:  Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt 1) (* (cbrt (hypot re im)) (cbrt (hypot re im)))))) (sqrt (cbrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 54 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (* (cbrt (cbrt (hypot re im))) (cbrt (hypot re im)))))) (sqrt (cbrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))
* [misc]simplify:  Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (* (cbrt (cbrt (hypot re im))) (cbrt (hypot re im)))))) (sqrt (cbrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 55 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (sqrt (cbrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (cbrt (hypot re im)))))) (sqrt (cbrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (hypot re im)))
* [misc]simplify:  Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (sqrt (cbrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (cbrt (hypot re im)))))) (sqrt (cbrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 56 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* 1 (* (cbrt (hypot re im)) (cbrt (hypot re im)))))) (sqrt (cbrt (hypot re im)))) re)))))>
* * * * [misc]progress:  [ 57 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))>
* * * * [misc]progress:  [ 58 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (log1p (expm1 (cbrt (hypot re im)))))) re)))))>
* * * * [misc]progress:  [ 59 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (expm1 (log1p (cbrt (hypot re im)))))) re)))))>
* * * * [misc]progress:  [ 60 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (pow (hypot re im) 1/3))) re)))))>
* * * * [misc]progress:  [ 61 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (pow (cbrt (hypot re im)) 1))) re)))))>
* * * * [misc]progress:  [ 62 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (exp (log (cbrt (hypot re im)))))) re)))))>
* * * * [misc]progress:  [ 63 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (log (exp (cbrt (hypot re im)))))) re)))))>
* * * * [misc]progress:  [ 64 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (* (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im)))))) re)))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
* [misc]simplify:  Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (* (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im)))))) re)))))
* * * * [misc]progress:  [ 65 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))) re)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot re im)))
* [misc]simplify:  Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))) re)))))
* * * * [misc]progress:  [ 66 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (* (cbrt 1) (cbrt (hypot re im))))) re)))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cbrt 1)
* [misc]simplify:  Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (* (cbrt 1) (cbrt (hypot re im))))) re)))))
* * * * [misc]progress:  [ 67 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (* (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im)))))) re)))))>
* * * * [misc]progress:  [ 68 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) re)))))>
* * * * [misc]progress:  [ 69 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))))) re)))))>
* * * * [misc]progress:  [ 70 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (* 1 (cbrt (hypot re im))))) re)))))>
* * * * [misc]progress:  [ 71 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))>
* [enter]simplify:  Simplifying (- im re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (- im re)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- im re)))))
* * * * [misc]progress:  [ 72 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ (* +nan.0 (sqrt (/ 1 re))) (- re (* +nan.0 (sqrt re)))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (sqrt (/ 1 re))) (- re (* +nan.0 (sqrt re)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 +nan.0))))
* * * * [misc]progress:  [ 73 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (+ (* +nan.0 (sqrt (* -1 re))) (- re (* +nan.0 (/ (sqrt (* -1 re)) re)))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (sqrt (* -1 re))) (- re (* +nan.0 (/ (sqrt (* -1 re)) re)))))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 +nan.0))))
* * * * [misc]progress:  [ 74 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (/ (* im re) (sqrt 2.0))) (- (+ (* +nan.0 (* (pow im 2) (sqrt 2.0))) (- (* +nan.0 (* im (sqrt 2.0))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* im re) (sqrt 2.0))) (- (+ (* +nan.0 (* (pow im 2) (sqrt 2.0))) (- (* +nan.0 (* im (sqrt 2.0))))))))
* [misc]simplify:  Simplified (2 2) to (λ (re im) (* 0.5 +nan.0))
* * * * [misc]progress:  [ 75 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (sqrt (/ 1 (pow re 3)))) (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (sqrt (/ 1 re))) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow re 2))))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (sqrt (/ 1 (pow re 3)))) (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (sqrt (/ 1 re))) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow re 2))))))))))))
* [misc]simplify:  Simplified (2 2) to (λ (re im) (* 0.5 +nan.0))
* * * * [misc]progress:  [ 76 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ (sqrt (* -1 re)) (pow re 2))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (* +nan.0 (/ (sqrt (* -1 re)) re)))))))))))))>
* [enter]simplify:  Simplifying (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ (sqrt (* -1 re)) (pow re 2))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (* +nan.0 (/ (sqrt (* -1 re)) re)))))))))))
* [misc]simplify:  Simplified (2 2) to (λ (re im) (* 0.5 +nan.0))
* * * * [misc]progress:  [ 77 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (+ (pow im 2/3) (* 1/3 (* (pow (/ 1 (pow im 4)) 1/3) (pow re 2)))))) (sqrt (cbrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (+ (pow im 2/3) (* 1/3 (* (pow (/ 1 (pow im 4)) 1/3) (pow re 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* [exit]simplify:  Simplified to (fma (* (cbrt (/ 1 (pow im 4))) (* re re)) 1/3 (pow im 2/3))
* [misc]simplify:  Simplified (2 2 1 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (fma (* (cbrt (/ 1 (pow im 4))) (* re re)) 1/3 (pow im 2/3)))) (sqrt (cbrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 78 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (pow (pow re 2) 1/3))) (sqrt (cbrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (pow (pow re 2) 1/3)
* * [misc]simplify:  iters left: 2 (5 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (* re re))
* [misc]simplify:  Simplified (2 2 1 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (cbrt (* re re)))) (sqrt (cbrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 79 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (pow (pow re 2) 1/3))) (sqrt (cbrt (hypot re im)))) re)))))>
* [enter]simplify:  Simplifying (pow (pow re 2) 1/3)
* * [misc]simplify:  iters left: 2 (5 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (* re re))
* [misc]simplify:  Simplified (2 2 1 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (cbrt (* re re)))) (sqrt (cbrt (hypot re im)))) re)))))
* * * * [misc]progress:  [ 80 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (+ (* 1/6 (* (pow (/ 1 (pow im 5)) 1/3) (pow re 2))) (pow im 1/3)))) re)))))>
* [enter]simplify:  Simplifying (+ (* 1/6 (* (pow (/ 1 (pow im 5)) 1/3) (pow re 2))) (pow im 1/3))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* [exit]simplify:  Simplified to (fma (* (cbrt (/ 1 (pow im 5))) 1/6) (* re re) (cbrt im))
* [misc]simplify:  Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (fma (* (cbrt (/ 1 (pow im 5))) 1/6) (* re re) (cbrt im)))) re)))))
* * * * [misc]progress:  [ 81 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (pow (/ 1 re) -1/3))) re)))))>
* [enter]simplify:  Simplifying (pow (/ 1 re) -1/3)
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (pow (/ 1 re) -1/3)
* [misc]simplify:  Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (pow (/ 1 re) -1/3))) re)))))
* * * * [misc]progress:  [ 82 / 82 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (pow (/ -1 re) -1/3))) re)))))>
* [enter]simplify:  Simplifying (pow (/ -1 re) -1/3)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (pow (/ -1 re) -1/3)
* [misc]simplify:  Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (pow (/ -1 re) -1/3))) re)))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (expm1 (log1p (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (sqrt (hypot re im)) (sqrt (exp (log (hypot re im))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (fma (* (* 2.0 (sqrt (hypot re im))) (fabs (cbrt (hypot re im)))) (* (* (cbrt (hypot re im)) (sqrt (hypot re im))) (fabs (cbrt (hypot re im)))) (* (- 2.0) (* re re)))) (sqrt (+ (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (hypot re im) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (cbrt (sqrt (hypot re im)))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3)) (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im))))) (* re re)) (+ (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (expm1 (log1p (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (pow (hypot re im) 1/3))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))) (- re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (* (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (expm1 (log1p (cbrt (hypot re im)))))) re)))))> #<alt (λ (re im) (* 0.5 (expm1 (log1p (sqrt (* 2.0 (- (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))))))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 (* 0.5 (/ (sqrt (fma (* (* 2.0 (sqrt (hypot re im))) (fabs (cbrt (hypot re im)))) (* (* (cbrt (hypot re im)) (sqrt (hypot re im))) (fabs (cbrt (hypot re im)))) (* (- 2.0) (* re re)))) (sqrt (+ (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re)))) +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- (hypot re im) re)))))>)
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 2.0 (- (hypot re im) re))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (- (hypot re im) re) 2.0)) 0.5)
* * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
* * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2880
* * * * [misc]points:  Setting MPFR precision to 3136
* * * * [misc]points:  Setting MPFR precision to 3392
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 3136
* * * * [misc]points:  Setting MPFR precision to 3392
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 3136
* * * * [misc]points:  Setting MPFR precision to 3392
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 3136
* * * * [misc]points:  Setting MPFR precision to 3392
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 3136
* * * * [misc]points:  Setting MPFR precision to 3392
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 3136
* * * * [misc]points:  Setting MPFR precision to 3392
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 3136
* * * * [misc]points:  Setting MPFR precision to 3392
* * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 3136
* * * * [misc]points:  Setting MPFR precision to 3392
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 3136
* * * * [misc]points:  Setting MPFR precision to 3392
* * * * [misc]points:  Setting MPFR precision to 3648
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8000 points with exact outputs