* [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:  Setting MPFR precision to 576
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Computing exacts on every 4 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:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [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 (24 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (re im) (* 0.5 (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2 2 1)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [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 (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* im 2.0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (* 0 2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 im) 0) 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 (+ (* im 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2.0)) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [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 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 (+ (* im 0) (+ (* 0 0) (* (/ 1/2 im) 2.0))) into (* 1.0 (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 im)) 0) 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 (+ (* 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 (+ (* im 0) (+ (* 0 0) (+ (* (/ 1/2 im) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2.0)))) 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 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 (+ (* 2.0 (* im 1)) (* 2.0 (* 1 re))) into (+ (* 2.0 re) (* 2.0 im))
* [misc]approximate:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 2.0) 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 (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) 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 4.0 into 4.0
* [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) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 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) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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) (+ (* 0 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) (* 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]approximate:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* -1 2.0) into -2.0
* [misc]backup-simplify:  Simplify (+ 2.0 -2.0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) 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 0) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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) (+ (* 0 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) (* 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]progress:  [ 2 / 2 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* re 2.0))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* re 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* re 2.0) into (* 2.0 re)
* [misc]backup-simplify:  Simplify (* re 2.0) into (* 2.0 re)
* [misc]backup-simplify:  Simplify (+ (* 2.0 re) (* 2.0 re)) into (* 4.0 re)
* [misc]backup-simplify:  Simplify (sqrt (* 4.0 re)) into (* (sqrt re) (sqrt 4.0))
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 4.0 re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* re 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* im 2.0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (* 0 2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 im) 0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 im)) into (* (sqrt 2.0) (sqrt im))
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2.0)) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt (* 2.0 im)))) into (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* re 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* im 2.0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (* 0 2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 im) 0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 im)) into (* (sqrt 2.0) (sqrt im))
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2.0)) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt (* 2.0 im)))) into (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt im) in im
* [misc]taylor:  Taking 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 (* (sqrt 2.0) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of 1.0 in im
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 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 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2.0)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2.0)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (- (* +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 (+ (* (sqrt 2.0) +nan.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 (+ (* 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 (+ (* im 0) (+ (* 0 0) (* (/ 1/2 im) 2.0))) into (* 1.0 (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 im)) 0) into (* 1.0 (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (* 1.0 (/ 1 im)) (pow (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im)))) 2) (+)) (* 2 (* (sqrt 2.0) (sqrt im)))) into (* 1/2 (* (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (pow (sqrt 2.0) 2) im)))) (sqrt 2.0)) (sqrt (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (pow (sqrt 2.0) 2) im)))) (sqrt 2.0)) (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 (* (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (pow (sqrt 2.0) 2) im)))) (sqrt 2.0)) (sqrt (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (pow (sqrt 2.0) 2) im)))) (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (pow (sqrt 2.0) 2) im)))) in 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]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (* (pow (sqrt 2.0) 2) 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 (* (pow (sqrt 2.0) 2) im)) in im
* [misc]taylor:  Taking taylor expansion of (* (pow (sqrt 2.0) 2) im) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt 2.0) 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 im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2.0) 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2.0) 2) 1) (* 0 0)) into (pow (sqrt 2.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2.0) 2)) into (/ 1 (pow (sqrt 2.0) 2))
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (* 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 (pow (sqrt 2.0) 2))) into (/ 1.0 (pow (sqrt 2.0) 2))
* [misc]backup-simplify:  Simplify (- (/ 1.0 (pow (sqrt 2.0) 2))) into (- (* 1.0 (/ 1 (pow (sqrt 2.0) 2))))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (* 1.0 (/ 1 (pow (sqrt 2.0) 2))))) into (- 1.0 (* 1.0 (/ 1 (pow (sqrt 2.0) 2))))
* [misc]backup-simplify:  Simplify (/ (- 1.0 (* 1.0 (/ 1 (pow (sqrt 2.0) 2)))) (sqrt 2.0)) into (/ (- 1.0 (* 1.0 (/ 1 (pow (sqrt 2.0) 2)))) (sqrt 2.0))
* [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 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2.0) 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ 1 (pow (sqrt 2.0) 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (- 1.0 (* 1.0 (/ 1 (pow (sqrt 2.0) 2)))) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt 2.0) 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 2)) (/ 0 (pow (sqrt 2.0) 2))) (* 0 (/ 0 (pow (sqrt 2.0) 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 (pow (sqrt 2.0) 2))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (- 1.0 (* 1.0 (/ 1 (pow (sqrt 2.0) 2)))) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (- 1.0 (* 1.0 (/ 1 (pow (sqrt 2.0) 2)))) (sqrt 2.0)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (/ 1 (sqrt 2.0))) (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))))
* [misc]backup-simplify:  Simplify (+ (* (/ (- 1.0 (* 1.0 (/ 1 (pow (sqrt 2.0) 2)))) (sqrt 2.0)) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (/ 1 (sqrt 2.0))) (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))))
* [misc]backup-simplify:  Simplify (* (/ (- 1.0 (* 1.0 (/ 1 (pow (sqrt 2.0) 2)))) (sqrt 2.0)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ (* +nan.0 (/ 1 (sqrt 2.0))) (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))))) (+ (* 0 (- (+ (* +nan.0 (/ 1 (sqrt 2.0))) (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))))) (* 0 0))) into (- (+ (* +nan.0 (/ 1 (sqrt 2.0))) (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (sqrt 2.0))) (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3)))))) into (- (+ (* +nan.0 (/ 1 (sqrt 2.0))) (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (sqrt 2.0))) (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3)))))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (/ 1 (sqrt 2.0)))) (* 1 re)))) into (- (+ (* +nan.0 (/ (pow re 2) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (+ (* +nan.0 (/ (pow re 2) (sqrt 2.0))) (- (* +nan.0 (/ re (sqrt 2.0))))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 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 (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 2.0) 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 (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 2.0) into 4.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 4.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) 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 (- (+ (* 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) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 0) 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]taylor:  Taking 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]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1.0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1.0 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.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 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) 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]taylor:  Taking 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]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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 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) (* 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 (/ 1 (pow re 2))) (- +nan.0)))))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 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 (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* -1 2.0) into -2.0
* [misc]backup-simplify:  Simplify (+ 2.0 -2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (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) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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 (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* -1 2.0) into -2.0
* [misc]backup-simplify:  Simplify (+ 2.0 -2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (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) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 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) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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]taylor:  Taking 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 (/ +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 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 (+ (* 1 0) (+ (* 0 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 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 0) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (+ (* 0 0) (* (/ -1/8 (pow im 4)) 2.0))))) into (- (* 0.25 (/ 1 (pow im 4))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (- (* 0.25 (/ 1 (pow im 4)))) 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 (+ (* +nan.0 (/ 1 (pow im 6))) (* 0.25 (/ 1 (pow im 4)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 0.25 (/ 1 (pow im 4))))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 6))) (* 0.25 (/ 1 (pow im 4)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 6)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 6) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 0.25 (/ 1 (pow im 4))) in im
* [misc]taylor:  Taking taylor expansion of 0.25 in im
* [misc]backup-simplify:  Simplify 0.25 into 0.25
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 4)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 4) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 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 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 0) (+ (* 0 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 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.25 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* 0.25 1) into 0.25
* [misc]backup-simplify:  Simplify (+ 0 0.25) into 0.25
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.25) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (log1p (expm1 (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 2 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (expm1 (log1p (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 3 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (+ (* (hypot re im) 2.0) (* re 2.0)))))>
* * * * [misc]progress:  [ 4 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (pow (fma (hypot re im) 2.0 (* re 2.0)) 1))))>
* * * * [misc]progress:  [ 5 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (exp (log (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 6 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (log (exp (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 7 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 8 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (cbrt (* (* (fma (hypot re im) 2.0 (* re 2.0)) (fma (hypot re im) 2.0 (* re 2.0))) (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 9 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 10 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 1 (fma (hypot re im) 2.0 (* re 2.0))))))>
* * * * [misc]progress:  [ 11 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log1p (expm1 (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 12 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (expm1 (log1p (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 13 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (fma (hypot re im) 2.0 (* re 2.0)) 1/2)))>
* * * * [misc]progress:  [ 14 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 1)))>
* * * * [misc]progress:  [ 15 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (exp (log (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 16 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log (exp (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 17 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 18 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (cbrt (* (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 19 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (fma (hypot re im) 2.0 (* 2.0 re))))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (* (fabs (cbrt (fma (hypot re im) 2.0 (* 2.0 re)))) (sqrt (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))
* * * * [misc]progress:  [ 20 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))
* * * * [misc]progress:  [ 21 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 1) (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))
* * * * [misc]progress:  [ 22 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 23 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (fabs (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))>
* [enter]simplify:  Simplifying (sqrt (fma (hypot re im) 2.0 (* re 2.0)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (fabs (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))
* * * * [misc]progress:  [ 24 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* 1 (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))>
* * * * [misc]progress:  [ 25 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (+ (* 2.0 re) (* 2.0 im)))))>
* [enter]simplify:  Simplifying (+ (* 2.0 re) (* 2.0 im))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (* (+ re im) 2.0)
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ re im) 2.0))))
* * * * [misc]progress:  [ 26 / 30 ] 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 (* 4.0 re)
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt (* 4.0 re))))
* * * * [misc]progress:  [ 27 / 30 ] 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:  [ 28 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (/ (pow re 2) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (+ (* +nan.0 (/ (pow re 2) (sqrt 2.0))) (- (* +nan.0 (/ re (sqrt 2.0))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (pow re 2) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (+ (* +nan.0 (/ (pow re 2) (sqrt 2.0))) (- (* +nan.0 (/ re (sqrt 2.0))))))))))
* [misc]simplify:  Simplified (2 2) to (λ (re im) (* 0.5 +nan.0))
* * * * [misc]progress:  [ 29 / 30 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
* [misc]simplify:  Simplified (2 2) to (λ (re im) (* 0.5 +nan.0))
* * * * [misc]progress:  [ 30 / 30 ] 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:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 2 1 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [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 (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* im 2.0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (* 0 2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 im) 0) 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 (+ (* im 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2.0)) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [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 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 (+ (* im 0) (+ (* 0 0) (* (/ 1/2 im) 2.0))) into (* 1.0 (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 im)) 0) 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 (+ (* 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 (+ (* im 0) (+ (* 0 0) (+ (* (/ 1/2 im) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2.0)))) 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 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 (+ (* 2.0 (* im 1)) (* 2.0 (* 1 re))) into (+ (* 2.0 re) (* 2.0 im))
* [misc]approximate:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 2.0) 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 (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) 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 4.0 into 4.0
* [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) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 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) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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) (+ (* 0 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) (* 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]approximate:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* -1 2.0) into -2.0
* [misc]backup-simplify:  Simplify (+ 2.0 -2.0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) 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 0) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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) (+ (* 0 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) (* 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]progress:  [ 2 / 4 ] generating series at (2 2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [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 (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* im 2.0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (* 0 2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 im) 0) 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 (+ (* im 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2.0)) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [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 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 (+ (* im 0) (+ (* 0 0) (* (/ 1/2 im) 2.0))) into (* 1.0 (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 im)) 0) 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 (+ (* 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 (+ (* im 0) (+ (* 0 0) (+ (* (/ 1/2 im) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2.0)))) 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 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 (+ (* 2.0 (* im 1)) (* 2.0 (* 1 re))) into (+ (* 2.0 re) (* 2.0 im))
* [misc]approximate:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 2.0) 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 (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) 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 4.0 into 4.0
* [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) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 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) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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) (+ (* 0 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) (* 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]approximate:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* -1 2.0) into -2.0
* [misc]backup-simplify:  Simplify (+ 2.0 -2.0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) 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 0) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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) (+ (* 0 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) (* 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]progress:  [ 3 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* re 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* re 2.0) into (* 2.0 re)
* [misc]backup-simplify:  Simplify (* re 2.0) into (* 2.0 re)
* [misc]backup-simplify:  Simplify (+ (* 2.0 re) (* 2.0 re)) into (* 4.0 re)
* [misc]backup-simplify:  Simplify (sqrt (* 4.0 re)) into (* (sqrt re) (sqrt 4.0))
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 4.0 re)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (* (sqrt re) (sqrt 4.0))) into (* (pow re 1/4) (sqrt (sqrt 4.0)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (sqrt re) (sqrt 4.0))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* re 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* re 2.0) into (* 2.0 re)
* [misc]backup-simplify:  Simplify (* re 2.0) into (* 2.0 re)
* [misc]backup-simplify:  Simplify (+ (* 2.0 re) (* 2.0 re)) into (* 4.0 re)
* [misc]backup-simplify:  Simplify (sqrt (* 4.0 re)) into (* (sqrt re) (sqrt 4.0))
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 4.0 re)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (* (sqrt re) (sqrt 4.0))) into (* (pow re 1/4) (sqrt (sqrt 4.0)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (sqrt re) (sqrt 4.0))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* re 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* im 2.0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (* 0 2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 im) 0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 im)) into (* (sqrt 2.0) (sqrt im))
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2.0)) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt (* 2.0 im)))) into (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im))))
* [misc]backup-simplify:  Simplify (sqrt (* (sqrt 2.0) (sqrt im))) into (* (sqrt (sqrt 2.0)) (pow im 1/4))
* [misc]backup-simplify:  Simplify (/ (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im)))) (* 2 (sqrt (* (sqrt 2.0) (sqrt im))))) into (* 0.5 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 (pow im 3)) 1/4)))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* re 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* im 2.0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (* 0 2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 im) 0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 im)) into (* (sqrt 2.0) (sqrt im))
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2.0)) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt (* 2.0 im)))) into (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im))))
* [misc]backup-simplify:  Simplify (sqrt (* (sqrt 2.0) (sqrt im))) into (* (sqrt (sqrt 2.0)) (pow im 1/4))
* [misc]backup-simplify:  Simplify (/ (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im)))) (* 2 (sqrt (* (sqrt 2.0) (sqrt im))))) into (* 0.5 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 (pow im 3)) 1/4)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* re 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* im 2.0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (* 0 2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 im) 0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 im)) into (* (sqrt 2.0) (sqrt im))
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2.0)) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt (* 2.0 im)))) into (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im))))
* [misc]backup-simplify:  Simplify (sqrt (* (sqrt 2.0) (sqrt im))) into (* (sqrt (sqrt 2.0)) (pow im 1/4))
* [misc]backup-simplify:  Simplify (/ (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im)))) (* 2 (sqrt (* (sqrt 2.0) (sqrt im))))) into (* 0.5 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 (pow im 3)) 1/4)))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* re 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* im 2.0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (* 0 2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 im) 0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 im)) into (* (sqrt 2.0) (sqrt im))
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2.0)) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt (* 2.0 im)))) into (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im))))
* [misc]backup-simplify:  Simplify (sqrt (* (sqrt 2.0) (sqrt im))) into (* (sqrt (sqrt 2.0)) (pow im 1/4))
* [misc]backup-simplify:  Simplify (/ (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im)))) (* 2 (sqrt (* (sqrt 2.0) (sqrt im))))) into (* 0.5 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 (pow im 3)) 1/4)))
* [misc]backup-simplify:  Simplify (* (* (sqrt (sqrt 2.0)) (pow im 1/4)) (* (sqrt (sqrt 2.0)) (pow im 1/4))) into (* (sqrt 2.0) (sqrt im))
* [misc]taylor:  Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt im) in im
* [misc]taylor:  Taking 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 (* (sqrt 2.0) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt (sqrt 2.0)) (pow im 1/4)) (* 0.5 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 (pow im 3)) 1/4)))) (* (* 0.5 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 (pow im 3)) 1/4))) (* (sqrt (sqrt 2.0)) (pow im 1/4)))) into (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 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 (sqrt 2.0)) (sqrt (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 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 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2.0)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2.0)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (- (* +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 (+ (* (sqrt 2.0) +nan.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 (+ (* 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 (+ (* im 0) (+ (* 0 0) (* (/ 1/2 im) 2.0))) into (* 1.0 (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 im)) 0) into (* 1.0 (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (* 1.0 (/ 1 im)) (pow (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im)))) 2) (+)) (* 2 (* (sqrt 2.0) (sqrt im)))) into (* 1/2 (* (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (pow (sqrt 2.0) 2) im)))) (sqrt 2.0)) (sqrt (/ 1 im))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (* (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (pow (sqrt 2.0) 2) im)))) (sqrt 2.0)) (sqrt (/ 1 im)))) (pow (* 0.5 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 (pow im 3)) 1/4))) 2) (+)) (* 2 (* (sqrt (sqrt 2.0)) (pow im 1/4)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (* (pow (/ 1 im) 1/4) (- (* 0.5 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 (pow im 3))))) (* 0.75 (* (/ 1 (pow (sqrt 2.0) 3)) (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 (+ (* im 0) (+ (* 0 0) (* (/ 1/2 im) 2.0))) into (* 1.0 (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 im)) 0) into (* 1.0 (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (* 1.0 (/ 1 im)) (pow (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im)))) 2) (+)) (* 2 (* (sqrt 2.0) (sqrt im)))) into (* 1/2 (* (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (pow (sqrt 2.0) 2) im)))) (sqrt 2.0)) (sqrt (/ 1 im))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (* (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (pow (sqrt 2.0) 2) im)))) (sqrt 2.0)) (sqrt (/ 1 im)))) (pow (* 0.5 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 (pow im 3)) 1/4))) 2) (+)) (* 2 (* (sqrt (sqrt 2.0)) (pow im 1/4)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (* (pow (/ 1 im) 1/4) (- (* 0.5 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 (pow im 3))))) (* 0.75 (* (/ 1 (pow (sqrt 2.0) 3)) (sqrt (/ 1 (pow im 3)))))))))
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt (sqrt 2.0)) (pow im 1/4)) (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (* (pow (/ 1 im) 1/4) (- (* 0.5 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 (pow im 3))))) (* 0.75 (* (/ 1 (pow (sqrt 2.0) 3)) (sqrt (/ 1 (pow im 3)))))))))) (+ (* (* 0.5 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 (pow im 3)) 1/4))) (* 0.5 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 (pow im 3)) 1/4)))) (* (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (* (pow (/ 1 im) 1/4) (- (* 0.5 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 (pow im 3))))) (* 0.75 (* (/ 1 (pow (sqrt 2.0) 3)) (sqrt (/ 1 (pow im 3))))))))) (* (sqrt (sqrt 2.0)) (pow im 1/4))))) into (- (* 0.5 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 (pow im 3))))) (* 0.5 (* (/ 1 (pow (sqrt 2.0) 3)) (sqrt (/ 1 (pow im 3))))))
* [misc]taylor:  Taking taylor expansion of (- (* 0.5 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 (pow im 3))))) (* 0.5 (* (/ 1 (pow (sqrt 2.0) 3)) (sqrt (/ 1 (pow im 3)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 0.5 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 (pow im 3))))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 (pow im 3)))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 3)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 3) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 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 (* 0.5 (* (/ 1 (pow (sqrt 2.0) 3)) (sqrt (/ 1 (pow im 3))))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (sqrt 2.0) 3)) (sqrt (/ 1 (pow im 3)))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 3)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt 2.0) 3) 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 (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2.0) 3)) into (/ 1 (pow (sqrt 2.0) 3))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 3)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 3) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 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) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2.0)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2.0)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2.0)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 (- (* +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 (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow (sqrt 2.0) 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 3)) (/ 0 (pow (sqrt 2.0) 3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 3)) (/ 0 (pow (sqrt 2.0) 3))) (* 0 (/ 0 (pow (sqrt 2.0) 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (pow (sqrt 2.0) 3)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (pow (sqrt 2.0) 3)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))
* [misc]backup-simplify:  Simplify (* (/ 1 (pow (sqrt 2.0) 3)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))) (+ (* 0 (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))) into (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (/ 1 (sqrt 2.0)))) (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))) into (- (+ (* +nan.0 (/ 1 (sqrt 2.0))) (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (sqrt 2.0))) (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3)))))) into (- (+ (* +nan.0 (/ 1 (sqrt 2.0))) (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (sqrt 2.0))) (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3)))))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (/ 1 (sqrt 2.0)))) (* 1 re)))) into (- (+ (* +nan.0 (/ (pow re 2) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (+ (* +nan.0 (/ (pow re 2) (sqrt 2.0))) (- (* +nan.0 (/ re (sqrt 2.0))))))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)))) (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)))) (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 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]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 re) 2.0) into (/ 2.0 re)
* [misc]backup-simplify:  Simplify (+ 0 (/ 2.0 re)) into (* 2.0 (/ 1 re))
* [misc]backup-simplify:  Simplify (/ (- (* 2.0 (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (* 2.0 (/ 1 re)) +nan.0))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (* 2.0 (/ 1 re)) +nan.0)) (* 2 (sqrt +nan.0))) into (* +nan.0 (/ (- (* 2.0 (/ 1 re)) +nan.0) (sqrt +nan.0)))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 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]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 re) 2.0) into (/ 2.0 re)
* [misc]backup-simplify:  Simplify (+ 0 (/ 2.0 re)) into (* 2.0 (/ 1 re))
* [misc]backup-simplify:  Simplify (/ (- (* 2.0 (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (* 2.0 (/ 1 re)) +nan.0))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (* 2.0 (/ 1 re)) +nan.0)) (* 2 (sqrt +nan.0))) into (* +nan.0 (/ (- (* 2.0 (/ 1 re)) +nan.0) (sqrt +nan.0)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)))) (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 2.0) into 4.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 4.0 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) 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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 2.0) into 4.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 4.0 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) 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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)))) (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 2.0) into 4.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 4.0 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) 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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 2.0) into 4.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 4.0 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) 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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (sqrt +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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (pow (sqrt +nan.0) 2) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (/ +nan.0 (sqrt +nan.0))) (* (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.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 (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 (sqrt +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 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) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 0) 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]backup-simplify:  Simplify (/ (- (* +nan.0 (- (* 1.0 (/ 1 (pow im 2))) +nan.0)) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (sqrt +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 0) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 0) 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]backup-simplify:  Simplify (/ (- (* +nan.0 (- (* 1.0 (/ 1 (pow im 2))) +nan.0)) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (sqrt +nan.0))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (sqrt +nan.0) 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 (sqrt +nan.0) 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (sqrt +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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 2)) into (/ 1 (pow (sqrt +nan.0) 2))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) 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]taylor:  Taking 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]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) into (/ +nan.0 (pow (sqrt +nan.0) 2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 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 (+ (* +nan.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)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- +nan.0) (* 1 (/ 1 re))) (pow (sqrt +nan.0) 2))) into (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow re 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (* +nan.0 (/ 1 re)))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)))) (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)))) (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 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]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 re) 2.0) into (/ -2.0 re)
* [misc]backup-simplify:  Simplify (+ 0 (/ -2.0 re)) into (- (* 2.0 (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ (- (- (* 2.0 (/ 1 re))) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (* 2.0 (/ 1 re)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (* 2.0 (/ 1 re)) (- +nan.0))) (* 2 (sqrt +nan.0))) into (* +nan.0 (/ (- (* 2.0 (/ 1 re)) +nan.0) (sqrt +nan.0)))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 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]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 re) 2.0) into (/ -2.0 re)
* [misc]backup-simplify:  Simplify (+ 0 (/ -2.0 re)) into (- (* 2.0 (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ (- (- (* 2.0 (/ 1 re))) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (* 2.0 (/ 1 re)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (* 2.0 (/ 1 re)) (- +nan.0))) (* 2 (sqrt +nan.0))) into (* +nan.0 (/ (- (* 2.0 (/ 1 re)) +nan.0) (sqrt +nan.0)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)))) (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* -1 2.0) into -2.0
* [misc]backup-simplify:  Simplify (+ 2.0 -2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (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) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ +nan.0 (pow im 2)) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* -1 2.0) into -2.0
* [misc]backup-simplify:  Simplify (+ 2.0 -2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (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) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ +nan.0 (pow im 2)) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)))) (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* -1 2.0) into -2.0
* [misc]backup-simplify:  Simplify (+ 2.0 -2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (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) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ +nan.0 (pow im 2)) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* -1 2.0) into -2.0
* [misc]backup-simplify:  Simplify (+ 2.0 -2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (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) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ +nan.0 (pow im 2)) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (pow im 2))) (* (/ +nan.0 (pow im 2)) 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) 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 (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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 (/ (- (/ +nan.0 (pow im 4)) (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -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 (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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 (/ (- (/ +nan.0 (pow im 4)) (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 2))) (* (/ +nan.0 (pow im 4)) 0))) into (- (* +nan.0 (/ 1 (pow im 4))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 4)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow im 4))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 4)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 4) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 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 0) (+ (* 0 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* re 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* re 2.0) into (* 2.0 re)
* [misc]backup-simplify:  Simplify (* re 2.0) into (* 2.0 re)
* [misc]backup-simplify:  Simplify (+ (* 2.0 re) (* 2.0 re)) into (* 4.0 re)
* [misc]backup-simplify:  Simplify (sqrt (* 4.0 re)) into (* (sqrt re) (sqrt 4.0))
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 4.0 re)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (* (sqrt re) (sqrt 4.0))) into (* (pow re 1/4) (sqrt (sqrt 4.0)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (sqrt re) (sqrt 4.0))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* re 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* im 2.0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (* 0 2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 im) 0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 im)) into (* (sqrt 2.0) (sqrt im))
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2.0)) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt (* 2.0 im)))) into (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im))))
* [misc]backup-simplify:  Simplify (sqrt (* (sqrt 2.0) (sqrt im))) into (* (sqrt (sqrt 2.0)) (pow im 1/4))
* [misc]backup-simplify:  Simplify (/ (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im)))) (* 2 (sqrt (* (sqrt 2.0) (sqrt im))))) into (* 0.5 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 (pow im 3)) 1/4)))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot re im) 2.0 (* re 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* im 2.0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (* 0 2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 im) 0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (sqrt (* 2.0 im)) into (* (sqrt 2.0) (sqrt im))
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2.0)) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt (* 2.0 im)))) into (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im))))
* [misc]backup-simplify:  Simplify (sqrt (* (sqrt 2.0) (sqrt im))) into (* (sqrt (sqrt 2.0)) (pow im 1/4))
* [misc]backup-simplify:  Simplify (/ (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im)))) (* 2 (sqrt (* (sqrt 2.0) (sqrt im))))) into (* 0.5 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 (pow im 3)) 1/4)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow im 1/4)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (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 (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0
* [misc]taylor:  Taking taylor expansion of (pow im 1/4) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log im))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/4 (log im)) in im
* [misc]taylor:  Taking taylor expansion of 1/4 in im
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (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 (* 1/4 (log im)) into (* 1/4 (log im))
* [misc]backup-simplify:  Simplify (exp (* 1/4 (log im))) into (pow im 1/4)
* [misc]backup-simplify:  Simplify (* (sqrt (sqrt 2.0)) (pow im 1/4)) into (* (sqrt (sqrt 2.0)) (pow im 1/4))
* [misc]backup-simplify:  Simplify (* (sqrt (sqrt 2.0)) (pow im 1/4)) into (* (sqrt (sqrt 2.0)) (pow im 1/4))
* [misc]taylor:  Taking taylor expansion of (* 0.5 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 (pow im 3)) 1/4))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 (pow im 3)) 1/4)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow (sqrt 2.0) 3))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 3)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt 2.0) 3) 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 (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2.0) 3)) into (/ 1 (pow (sqrt 2.0) 3))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow (sqrt 2.0) 3))) into (sqrt (/ 1 (pow (sqrt 2.0) 3)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow (sqrt 2.0) 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 3)) (/ 0 (pow (sqrt 2.0) 3))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sqrt 2.0) 3))))) into 0
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow im 3)) 1/4) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 3))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 3)))) in im
* [misc]taylor:  Taking taylor expansion of 1/4 in im
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow im 3))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 3)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 3) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 3) (log im)) 0) into (- (* 3 (log im)))
* [misc]backup-simplify:  Simplify (* 1/4 (- (* 3 (log im)))) into (* -3/4 (log im))
* [misc]backup-simplify:  Simplify (exp (* -3/4 (log im))) into (pow im -3/4)
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow im -3/4)) into (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 (pow im 3)) 1/4))
* [misc]backup-simplify:  Simplify (* 0.5 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 (pow im 3)) 1/4))) into (* 0.5 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 (pow im 3)) 1/4)))
* [misc]backup-simplify:  Simplify (* 0.5 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 (pow im 3)) 1/4))) into (* 0.5 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 (pow im 3)) 1/4)))
* [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 (+ (* 1/4 0) (* 0 (log im))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (sqrt 2.0)) 0) (* 0 (pow im 1/4))) 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 (+ (* im 0) (+ (* 0 0) (* (/ 1/2 im) 2.0))) into (* 1.0 (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 im)) 0) into (* 1.0 (/ 1 im))
* [misc]backup-simplify:  Simplify (/ (- (* 1.0 (/ 1 im)) (pow (* 1.0 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 im)))) 2) (+)) (* 2 (* (sqrt 2.0) (sqrt im)))) into (* 1/2 (* (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (pow (sqrt 2.0) 2) im)))) (sqrt 2.0)) (sqrt (/ 1 im))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (* (/ (- (* 1.0 (/ 1 im)) (* 1.0 (/ 1 (* (pow (sqrt 2.0) 2) im)))) (sqrt 2.0)) (sqrt (/ 1 im)))) (pow (* 0.5 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 (pow im 3)) 1/4))) 2) (+)) (* 2 (* (sqrt (sqrt 2.0)) (pow im 1/4)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (* (pow (/ 1 im) 1/4) (- (* 0.5 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 (pow im 3))))) (* 0.75 (* (/ 1 (pow (sqrt 2.0) 3)) (sqrt (/ 1 (pow im 3)))))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (* (pow (/ 1 im) 1/4) (- (* 0.5 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 (pow im 3))))) (* 0.75 (* (/ 1 (pow (sqrt 2.0) 3)) (sqrt (/ 1 (pow im 3))))))))) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (pow (/ 1 im) 1/4) (- (* 0.5 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 (pow im 3))))) (* 0.75 (* (/ 1 (pow (sqrt 2.0) 3)) (sqrt (/ 1 (pow im 3)))))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (pow (/ 1 im) 1/4) (- (* 0.5 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 (pow im 3))))) (* 0.75 (* (/ 1 (pow (sqrt 2.0) 3)) (sqrt (/ 1 (pow im 3))))))) in im
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 im) 1/4) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/4 (log (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of 1/4 in im
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (log (/ 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 (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (* 1/4 (- (log im))) into (* -1/4 (log im))
* [misc]backup-simplify:  Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
* [misc]taylor:  Taking taylor expansion of (- (* 0.5 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 (pow im 3))))) (* 0.75 (* (/ 1 (pow (sqrt 2.0) 3)) (sqrt (/ 1 (pow im 3)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 0.5 (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 (pow im 3))))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (/ 1 (pow im 3)))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt 2.0)) in im
* [misc]taylor:  Taking taylor expansion of (sqrt 2.0) in im
* [misc]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 3)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 3) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 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 (* 0.75 (* (/ 1 (pow (sqrt 2.0) 3)) (sqrt (/ 1 (pow im 3))))) in im
* [misc]taylor:  Taking taylor expansion of 0.75 in im
* [misc]backup-simplify:  Simplify 0.75 into 0.75
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (sqrt 2.0) 3)) (sqrt (/ 1 (pow im 3)))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (sqrt 2.0) 3)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt 2.0) 3) 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 (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2.0) 3)) into (/ 1 (pow (sqrt 2.0) 3))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 3)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 3) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 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) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2.0)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2.0)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2.0)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 (- (* +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 (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow (sqrt 2.0) 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 3)) (/ 0 (pow (sqrt 2.0) 3))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt 2.0) 3)) (/ 0 (pow (sqrt 2.0) 3))) (* 0 (/ 0 (pow (sqrt 2.0) 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (pow (sqrt 2.0) 3)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (pow (sqrt 2.0) 3)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))
* [misc]backup-simplify:  Simplify (* (/ 1 (pow (sqrt 2.0) 3)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.75 (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))) (+ (* 0 (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))) into (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (/ 1 (sqrt 2.0)))) (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))) into (- (+ (* +nan.0 (/ 1 (sqrt 2.0))) (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))))
* [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 (+ (* (- 1) (log im)) 0) into (- (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (- (log im)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 (- (* +nan.0 (/ 1 (sqrt 2.0))))) (* 0 0)) into (- (* +nan.0 (/ 1 (sqrt 2.0))))
* [misc]backup-simplify:  Simplify (+ (* 0.75 (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))) into (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (/ 1 (sqrt 2.0)))) (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))) into (- (+ (* +nan.0 (/ 1 (sqrt 2.0))) (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log im))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* 0.5 0) into 0
* [misc]backup-simplify:  Simplify (* 0.75 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow im -1/4) (- (+ (* +nan.0 (/ 1 (sqrt 2.0))) (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))))) (+ (* 0 (- (+ (* +nan.0 (/ 1 (sqrt 2.0))) (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))))) (* 0 0))) into (- (+ (* +nan.0 (* (/ 1 (sqrt 2.0)) (pow (/ 1 im) 1/4))) (- (* +nan.0 (* (/ 1 (pow (sqrt 2.0) 3)) (pow (/ 1 im) 1/4))))))
* [misc]backup-simplify:  Simplify (+ (* (pow im -1/4) (- (+ (* +nan.0 (/ 1 (sqrt 2.0))) (- (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))))))) (* 0 0)) into (- (+ (* +nan.0 (* (/ 1 (sqrt 2.0)) (pow (/ 1 im) 1/4))) (- (* +nan.0 (* (/ 1 (pow (sqrt 2.0) 3)) (pow (/ 1 im) 1/4))))))
* [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))) (* 0 (/ 0 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (* (pow im -1/4) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2.0)) (pow (/ 1 im) 1/4))) (- (* +nan.0 (* (/ 1 (pow (sqrt 2.0) 3)) (pow (/ 1 im) 1/4))))))) (+ (* 0 (- (+ (* +nan.0 (* (/ 1 (sqrt 2.0)) (pow (/ 1 im) 1/4))) (- (* +nan.0 (* (/ 1 (pow (sqrt 2.0) 3)) (pow (/ 1 im) 1/4))))))) (* 0 0))) into (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 im) 1/4))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 2.0) 7))) (pow (/ 1 im) 1/4))))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2.0)) (pow (/ 1 im) 1/4))) (- (* +nan.0 (* (/ 1 (pow (sqrt 2.0) 3)) (pow (/ 1 im) 1/4))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 im) 1/4))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 2.0) 7))) (pow (/ 1 im) 1/4))))))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt 2.0))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 im) 1/4))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 2.0) 7))) (pow (/ 1 im) 1/4))))))) (+ (* 0 (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 im) 1/4))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 2.0) 7))) (pow (/ 1 im) 1/4))))))) (* 0 0))) into (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 im) 1/4))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 2.0) 7))) (pow (/ 1 im) 1/4))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 im) 1/4))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 2.0) 7))) (pow (/ 1 im) 1/4)))))) into (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 im) 1/4))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 2.0) 7))) (pow (/ 1 im) 1/4))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 im) 1/4))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 2.0) 7))) (pow (/ 1 im) 1/4)))))) (pow (* 1 re) 2)) (+ (* (* 0.5 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (pow (/ 1 (pow im 3)) 1/4))) (* 1 re)) (* (sqrt (sqrt 2.0)) (pow im 1/4)))) into (- (+ (* 0.5 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (* re (pow (/ 1 (pow im 3)) 1/4)))) (* (sqrt (sqrt 2.0)) (pow im 1/4))) (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 2.0) 7))) (* (pow re 2) (pow (/ 1 im) 1/4)))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (* (pow re 2) (pow (/ 1 im) 1/4)))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 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]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 re) 2.0) into (/ 2.0 re)
* [misc]backup-simplify:  Simplify (+ 0 (/ 2.0 re)) into (* 2.0 (/ 1 re))
* [misc]backup-simplify:  Simplify (/ (- (* 2.0 (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (* 2.0 (/ 1 re)) +nan.0))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (* 2.0 (/ 1 re)) +nan.0)) (* 2 (sqrt +nan.0))) into (* +nan.0 (/ (- (* 2.0 (/ 1 re)) +nan.0) (sqrt +nan.0)))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 2.0) into 4.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 4.0 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) 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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 2.0) into 4.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 4.0 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) 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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (sqrt +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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (/ +nan.0 (sqrt +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 (sqrt +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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +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 0) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 0) 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]backup-simplify:  Simplify (/ (- (* +nan.0 (- (* 1.0 (/ 1 (pow im 2))) +nan.0)) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (sqrt +nan.0)))
* [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (sqrt +nan.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 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (sqrt +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (sqrt +nan.0) 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 (sqrt +nan.0) 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (sqrt +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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 2)) into (/ 1 (pow (sqrt +nan.0) 2))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) 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]taylor:  Taking 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]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]taylor:  Taking taylor expansion of (sqrt +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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) into (/ +nan.0 (pow (sqrt +nan.0) 2))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 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 (+ (* +nan.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)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt +nan.0)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 0 (sqrt +nan.0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) (sqrt +nan.0)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 0 (sqrt +nan.0))) (* 0 (/ 0 (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))
* [misc]backup-simplify:  Simplify (+ (* -1/2 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))) (+ (* 0 0) (* 0 (/ +nan.0 (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) (pow (* 1 (/ 1 re)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (* 1 (/ 1 re))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow re 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* re (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow re 2) (pow (sqrt +nan.0) 3)))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 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]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 re) 2.0) into (/ -2.0 re)
* [misc]backup-simplify:  Simplify (+ 0 (/ -2.0 re)) into (- (* 2.0 (/ 1 re)))
* [misc]backup-simplify:  Simplify (/ (- (- (* 2.0 (/ 1 re))) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (* 2.0 (/ 1 re)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (* 2.0 (/ 1 re)) (- +nan.0))) (* 2 (sqrt +nan.0))) into (* +nan.0 (/ (- (* 2.0 (/ 1 re)) +nan.0) (sqrt +nan.0)))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* -1 2.0) into -2.0
* [misc]backup-simplify:  Simplify (+ 2.0 -2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (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) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ +nan.0 (pow im 2)) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* -1 2.0) into -2.0
* [misc]backup-simplify:  Simplify (+ 2.0 -2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (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) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ +nan.0 (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]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]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 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 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 (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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 (/ (- (/ +nan.0 (pow im 4)) (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]taylor:  Taking 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 (/ +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 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 0) (+ (* 0 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 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 1) (+ (* +nan.0 (/ 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 0) (+ (* 0 0) (+ (* 0 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (log1p (expm1 (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 2 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (expm1 (log1p (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 3 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (+ (* (hypot re im) 2.0) (* re 2.0)))))))>
* * * * [misc]progress:  [ 4 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (pow (fma (hypot re im) 2.0 (* re 2.0)) 1))))))>
* * * * [misc]progress:  [ 5 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (exp (log (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 6 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (log (exp (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 7 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 8 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (cbrt (* (* (fma (hypot re im) 2.0 (* re 2.0)) (fma (hypot re im) 2.0 (* re 2.0))) (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 9 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 10 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (* 1 (fma (hypot re im) 2.0 (* re 2.0))))))))>
* * * * [misc]progress:  [ 11 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (log1p (expm1 (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 12 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (expm1 (log1p (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 13 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (+ (* (hypot re im) 2.0) (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 14 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (pow (fma (hypot re im) 2.0 (* re 2.0)) 1))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 15 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (exp (log (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 16 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (log (exp (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 17 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 18 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (cbrt (* (* (fma (hypot re im) 2.0 (* re 2.0)) (fma (hypot re im) 2.0 (* re 2.0))) (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 19 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 20 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 1 (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 21 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log1p (expm1 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 22 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (expm1 (log1p (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 23 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (sqrt (fma (hypot re im) 2.0 (* re 2.0))) (+ 1/2 1/2))))>
* [enter]simplify:  Simplifying (sqrt (fma (hypot re im) 2.0 (* re 2.0)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) (+ 1/2 1/2))))
* [enter]simplify:  Simplifying (+ 1/2 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 1)))
* * * * [misc]progress:  [ 24 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (+ 1 1))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) (+ 1 1))))
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to 2
* [misc]simplify:  Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) 2)))
* * * * [misc]progress:  [ 25 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) 1/2)))>
* [enter]simplify:  Simplifying (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (fma (hypot re im) 2.0 (* 2.0 re)) 1/2)))
* * * * [misc]progress:  [ 26 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) 1)))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) 1)))
* * * * [misc]progress:  [ 27 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) 2)))>
* * * * [misc]progress:  [ 28 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (+ 1 1))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))) (+ 1 1))))
* * * * [misc]progress:  [ 29 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) 1)))>
* * * * [misc]progress:  [ 30 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (exp (+ (log (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (log (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (log (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) (log (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (exp (+ (log (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) (log (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))))))
* * * * [misc]progress:  [ 31 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (exp (log (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 32 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log (exp (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 33 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (cbrt (* (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (144 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) (fma (hypot re im) 2.0 (* 2.0 re)))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (cbrt (* (sqrt (fma (hypot re im) 2.0 (* 2.0 re))) (fma (hypot re im) 2.0 (* 2.0 re))))))
* * * * [misc]progress:  [ 34 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))) (cbrt (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))) (cbrt (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 35 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (cbrt (* (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))) (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 36 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* * * * [misc]progress:  [ 37 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 38 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))>
* [enter]simplify:  Simplifying (fma (hypot re im) 2.0 (* re 2.0))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  iters left: 1 (13 enodes)
* [exit]simplify:  Simplified to (fma (hypot re im) 2.0 (* 2.0 re))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* * * * [misc]progress:  [ 39 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* 1 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))>
* * * * [misc]progress:  [ 40 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (* (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))) (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (* (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))) (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))))
* * * * [misc]progress:  [ 41 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (* (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))) (sqrt (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (* (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))) (sqrt (cbrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))))
* * * * [misc]progress:  [ 42 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0))))))) (sqrt (sqrt (cbrt (fma (hypot re im) 2.0 (* re 2.0))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (cbrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0))))))) (sqrt (sqrt (cbrt (fma (hypot re im) 2.0 (* 2.0 re))))))))
* * * * [misc]progress:  [ 43 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))))
* * * * [misc]progress:  [ 44 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt 1))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* [misc]simplify:  Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt 1))) (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))))
* * * * [misc]progress:  [ 45 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))))
* * * * [misc]progress:  [ 46 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt 1)) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* [misc]simplify:  Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt 1)) (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))))
* * * * [misc]progress:  [ 47 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))))
* * * * [misc]progress:  [ 48 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) 1) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* [misc]simplify:  Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) 1) (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))))
* * * * [misc]progress:  [ 49 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))) (* (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))) (* (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))
* * * * [misc]progress:  [ 50 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (* (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))) (* (sqrt (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (* (fabs (cbrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) (* (sqrt (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))
* * * * [misc]progress:  [ 51 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))) (* (sqrt (sqrt (cbrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (sqrt (fabs (cbrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (fabs (cbrt (fma (hypot re im) 2.0 (* 2.0 re))))) (* (sqrt (sqrt (cbrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))
* * * * [misc]progress:  [ 52 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (* (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) (* (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))
* * * * [misc]progress:  [ 53 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt 1)) (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt 1))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))
* * * * [misc]progress:  [ 54 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (* (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) (* (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))
* * * * [misc]progress:  [ 55 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 1) (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))
* * * * [misc]progress:  [ 56 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (* (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) (* (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))
* * * * [misc]progress:  [ 57 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* 1 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))>
* * * * [misc]progress:  [ 58 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* * * * [misc]progress:  [ 59 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (log1p (expm1 (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 60 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (expm1 (log1p (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 61 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (pow (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 1/2))))>
* * * * [misc]progress:  [ 62 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (pow (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) 1))))>
* * * * [misc]progress:  [ 63 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (exp (log (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 64 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (log (exp (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 65 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (* (* (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))) (cbrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 66 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 67 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (* (sqrt (* (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (* (fabs (cbrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) (sqrt (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))
* * * * [misc]progress:  [ 68 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (* (sqrt (sqrt (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (sqrt (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (sqrt (fabs (cbrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (* (sqrt (fabs (cbrt (fma (hypot re im) 2.0 (* 2.0 re))))) (sqrt (sqrt (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))
* * * * [misc]progress:  [ 69 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (* (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (* (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))
* * * * [misc]progress:  [ 70 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (* (sqrt (sqrt 1)) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt 1))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (* 1 (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))
* * * * [misc]progress:  [ 71 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (* (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (* (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))) (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))
* * * * [misc]progress:  [ 72 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (* (sqrt 1) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (* 1 (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))
* * * * [misc]progress:  [ 73 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (* (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 74 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (fabs (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (fabs (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))))
* * * * [misc]progress:  [ 75 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (fabs (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (fabs (sqrt (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))))))
* * * * [misc]progress:  [ 76 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (* 1 (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))))>
* * * * [misc]progress:  [ 77 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (+ (* 2.0 re) (* 2.0 im)))))))>
* [enter]simplify:  Simplifying (+ (* 2.0 re) (* 2.0 im))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (* (+ re im) 2.0)
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (* (+ re im) 2.0))))))
* * * * [misc]progress:  [ 78 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (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 (* 4.0 re)
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (* 4.0 re))))))
* * * * [misc]progress:  [ 79 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (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 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt 0)))))
* * * * [misc]progress:  [ 80 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (+ (* 2.0 re) (* 2.0 im)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* [enter]simplify:  Simplifying (+ (* 2.0 re) (* 2.0 im))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (* (+ re im) 2.0)
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* (+ re im) 2.0))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))
* * * * [misc]progress:  [ 81 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 4.0 re))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* 4.0 re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (* 4.0 re)
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 4.0 re))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))
* * * * [misc]progress:  [ 82 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt 0)) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt 0)) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))
* * * * [misc]progress:  [ 83 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (/ (pow re 2) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (+ (* +nan.0 (/ (pow re 2) (sqrt 2.0))) (- (* +nan.0 (/ re (sqrt 2.0))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (pow re 2) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (+ (* +nan.0 (/ (pow re 2) (sqrt 2.0))) (- (* +nan.0 (/ re (sqrt 2.0))))))))))
* [misc]simplify:  Simplified (2 2) to (λ (re im) (* 0.5 +nan.0))
* * * * [misc]progress:  [ 84 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow re 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (* +nan.0 (/ 1 re)))))))))>
* [enter]simplify:  Simplifying (- (pow (sqrt +nan.0) 2) (+ (* +nan.0 (/ 1 (* (pow re 2) (pow (sqrt +nan.0) 2)))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (* +nan.0 (/ 1 re)))))))
* [misc]simplify:  Simplified (2 2) to (λ (re im) (* 0.5 +nan.0))
* * * * [misc]progress:  [ 85 / 88 ] 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:  [ 86 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (- (+ (* 0.5 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (* re (pow (/ 1 (pow im 3)) 1/4)))) (* (sqrt (sqrt 2.0)) (pow im 1/4))) (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 2.0) 7))) (* (pow re 2) (pow (/ 1 im) 1/4)))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (* (pow re 2) (pow (/ 1 im) 1/4))))))))))>
* [enter]simplify:  Simplifying (- (+ (* 0.5 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (* re (pow (/ 1 (pow im 3)) 1/4)))) (* (sqrt (sqrt 2.0)) (pow im 1/4))) (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 2.0) 7))) (* (pow re 2) (pow (/ 1 im) 1/4)))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 2.0) 3))) (* (pow re 2) (pow (/ 1 im) 1/4)))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) +nan.0)))
* * * * [misc]progress:  [ 87 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow re 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* re (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow re 2) (pow (sqrt +nan.0) 3))))))))))))>
* [enter]simplify:  Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow re 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* re (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow re 2) (pow (sqrt +nan.0) 3)))))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) +nan.0)))
* * * * [misc]progress:  [ 88 / 88 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 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 (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) 0)))
* * * [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 (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 2 1 2 1 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 2 1 1 2 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 2 1 1 1 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1 1 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 2 1 2 1 1)
* [misc]approximate:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [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 (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* im 2.0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (* 0 2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 im) 0) 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 (+ (* im 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2.0)) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [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 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 (+ (* im 0) (+ (* 0 0) (* (/ 1/2 im) 2.0))) into (* 1.0 (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 im)) 0) 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 (+ (* 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 (+ (* im 0) (+ (* 0 0) (+ (* (/ 1/2 im) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2.0)))) 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 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 (+ (* 2.0 (* im 1)) (* 2.0 (* 1 re))) into (+ (* 2.0 re) (* 2.0 im))
* [misc]approximate:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 2.0) 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 (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) 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 4.0 into 4.0
* [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) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 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) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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) (+ (* 0 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) (* 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]approximate:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* -1 2.0) into -2.0
* [misc]backup-simplify:  Simplify (+ 2.0 -2.0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) 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 0) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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) (+ (* 0 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) (* 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]progress:  [ 2 / 4 ] generating series at (2 2 2 1 1 2 1 1)
* [misc]approximate:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [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 (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* im 2.0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (* 0 2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 im) 0) 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 (+ (* im 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2.0)) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [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 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 (+ (* im 0) (+ (* 0 0) (* (/ 1/2 im) 2.0))) into (* 1.0 (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 im)) 0) 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 (+ (* 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 (+ (* im 0) (+ (* 0 0) (+ (* (/ 1/2 im) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2.0)))) 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 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 (+ (* 2.0 (* im 1)) (* 2.0 (* 1 re))) into (+ (* 2.0 re) (* 2.0 im))
* [misc]approximate:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 2.0) 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 (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) 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 4.0 into 4.0
* [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) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 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) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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) (+ (* 0 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) (* 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]approximate:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* -1 2.0) into -2.0
* [misc]backup-simplify:  Simplify (+ 2.0 -2.0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) 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 0) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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) (+ (* 0 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) (* 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]progress:  [ 3 / 4 ] generating series at (2 2 2 1 1 1 1 1)
* [misc]approximate:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [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 (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* im 2.0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (* 0 2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 im) 0) 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 (+ (* im 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2.0)) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [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 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 (+ (* im 0) (+ (* 0 0) (* (/ 1/2 im) 2.0))) into (* 1.0 (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 im)) 0) 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 (+ (* 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 (+ (* im 0) (+ (* 0 0) (+ (* (/ 1/2 im) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2.0)))) 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 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 (+ (* 2.0 (* im 1)) (* 2.0 (* 1 re))) into (+ (* 2.0 re) (* 2.0 im))
* [misc]approximate:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 2.0) 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 (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) 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 4.0 into 4.0
* [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) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 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) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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) (+ (* 0 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) (* 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]approximate:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* -1 2.0) into -2.0
* [misc]backup-simplify:  Simplify (+ 2.0 -2.0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) 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 0) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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) (+ (* 0 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) (* 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]progress:  [ 4 / 4 ] generating series at (2 2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [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 (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* im 2.0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (* 0 2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 im) 0) 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 (+ (* im 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2.0)) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [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 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 (+ (* im 0) (+ (* 0 0) (* (/ 1/2 im) 2.0))) into (* 1.0 (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 im)) 0) 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 (+ (* 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 (+ (* im 0) (+ (* 0 0) (+ (* (/ 1/2 im) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2.0)))) 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 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 (+ (* 2.0 (* im 1)) (* 2.0 (* 1 re))) into (+ (* 2.0 re) (* 2.0 im))
* [misc]approximate:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 2.0) 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 (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) 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 4.0 into 4.0
* [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) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 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) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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) (+ (* 0 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) (* 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]approximate:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* -1 2.0) into -2.0
* [misc]backup-simplify:  Simplify (+ 2.0 -2.0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) 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 0) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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) (+ (* 0 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) (* 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]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (log1p (expm1 (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 2 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (expm1 (log1p (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 3 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (+ (* (hypot re im) 2.0) (* re 2.0)))))))))>
* * * * [misc]progress:  [ 4 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (pow (fma (hypot re im) 2.0 (* re 2.0)) 1))))))))>
* * * * [misc]progress:  [ 5 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (exp (log (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 6 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (log (exp (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 7 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 8 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (cbrt (* (* (fma (hypot re im) 2.0 (* re 2.0)) (fma (hypot re im) 2.0 (* re 2.0))) (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 9 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 10 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* 1 (fma (hypot re im) 2.0 (* re 2.0))))))))))>
* * * * [misc]progress:  [ 11 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (log1p (expm1 (fma (hypot re im) 2.0 (* re 2.0))))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 12 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (expm1 (log1p (fma (hypot re im) 2.0 (* re 2.0))))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 13 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (+ (* (hypot re im) 2.0) (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 14 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (pow (fma (hypot re im) 2.0 (* re 2.0)) 1)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 15 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (exp (log (fma (hypot re im) 2.0 (* re 2.0))))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 16 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (log (exp (fma (hypot re im) 2.0 (* re 2.0))))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 17 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0))))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 18 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (cbrt (* (* (fma (hypot re im) 2.0 (* re 2.0)) (fma (hypot re im) 2.0 (* re 2.0))) (fma (hypot re im) 2.0 (* re 2.0))))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 19 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 20 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (* 1 (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 21 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (log1p (expm1 (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 22 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (expm1 (log1p (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 23 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (+ (* (hypot re im) 2.0) (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 24 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (pow (fma (hypot re im) 2.0 (* re 2.0)) 1))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 25 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (exp (log (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 26 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (log (exp (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 27 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 28 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (cbrt (* (* (fma (hypot re im) 2.0 (* re 2.0)) (fma (hypot re im) 2.0 (* re 2.0))) (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 29 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 30 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (* 1 (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 31 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (log1p (expm1 (fma (hypot re im) 2.0 (* re 2.0)))))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 32 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (expm1 (log1p (fma (hypot re im) 2.0 (* re 2.0)))))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 33 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (+ (* (hypot re im) 2.0) (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 34 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (pow (fma (hypot re im) 2.0 (* re 2.0)) 1))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 35 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (exp (log (fma (hypot re im) 2.0 (* re 2.0)))))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 36 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (log (exp (fma (hypot re im) 2.0 (* re 2.0)))))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 37 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 38 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (cbrt (* (* (fma (hypot re im) 2.0 (* re 2.0)) (fma (hypot re im) 2.0 (* re 2.0))) (fma (hypot re im) 2.0 (* re 2.0)))))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 39 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 40 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 1 (fma (hypot re im) 2.0 (* re 2.0))))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* * * * [misc]progress:  [ 41 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (+ (* 2.0 re) (* 2.0 im)))))))))>
* [enter]simplify:  Simplifying (+ (* 2.0 re) (* 2.0 im))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (* (+ re im) 2.0)
* [misc]simplify:  Simplified (2 2 2 1 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (+ re im) 2.0))))))))
* * * * [misc]progress:  [ 42 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (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 (* 4.0 re)
* [misc]simplify:  Simplified (2 2 2 1 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* 4.0 re))))))))
* * * * [misc]progress:  [ 43 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (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 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt 0)))))))
* * * * [misc]progress:  [ 44 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (+ (* 2.0 re) (* 2.0 im))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (+ (* 2.0 re) (* 2.0 im))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (* (+ re im) 2.0)
* [misc]simplify:  Simplified (2 2 2 1 1 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (* (+ re im) 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))
* * * * [misc]progress:  [ 45 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (* 4.0 re)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (* 4.0 re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (* 4.0 re)
* [misc]simplify:  Simplified (2 2 2 1 1 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (* 4.0 re)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))
* * * * [misc]progress:  [ 46 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt 0))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2 2 1 1 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt 0))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))
* * * * [misc]progress:  [ 47 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (+ (* 2.0 re) (* 2.0 im)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (+ (* 2.0 re) (* 2.0 im))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (* (+ re im) 2.0)
* [misc]simplify:  Simplified (2 2 2 1 1 1 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (* (+ re im) 2.0))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))
* * * * [misc]progress:  [ 48 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (* 4.0 re))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (* 4.0 re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (* 4.0 re)
* [misc]simplify:  Simplified (2 2 2 1 1 1 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (* 4.0 re))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))
* * * * [misc]progress:  [ 49 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt 0)) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2 2 1 1 1 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt 0)) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))
* * * * [misc]progress:  [ 50 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (+ (* 2.0 re) (* 2.0 im)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (+ (* 2.0 re) (* 2.0 im))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (* (+ re im) 2.0)
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* (+ re im) 2.0))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))
* * * * [misc]progress:  [ 51 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 4.0 re))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (* 4.0 re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (* 4.0 re)
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 4.0 re))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))
* * * * [misc]progress:  [ 52 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt 0)) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt 0)) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))
* * * [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 (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 2 1 2 1 1 2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 2 1 2 1 1 1 2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 2 1 2 1 1 1 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 2 1 1 2 1 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 2 1 2 1 1 2 1)
* [misc]approximate:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [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 (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* im 2.0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (* 0 2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 im) 0) 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 (+ (* im 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2.0)) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [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 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 (+ (* im 0) (+ (* 0 0) (* (/ 1/2 im) 2.0))) into (* 1.0 (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 im)) 0) 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 (+ (* 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 (+ (* im 0) (+ (* 0 0) (+ (* (/ 1/2 im) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2.0)))) 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 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 (+ (* 2.0 (* im 1)) (* 2.0 (* 1 re))) into (+ (* 2.0 re) (* 2.0 im))
* [misc]approximate:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 2.0) 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 (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) 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 4.0 into 4.0
* [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) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 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) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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) (+ (* 0 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) (* 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]approximate:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* -1 2.0) into -2.0
* [misc]backup-simplify:  Simplify (+ 2.0 -2.0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) 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 0) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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) (+ (* 0 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) (* 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]progress:  [ 2 / 4 ] generating series at (2 2 2 1 2 1 1 1 2 1)
* [misc]approximate:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [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 (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* im 2.0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (* 0 2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 im) 0) 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 (+ (* im 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2.0)) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [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 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 (+ (* im 0) (+ (* 0 0) (* (/ 1/2 im) 2.0))) into (* 1.0 (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 im)) 0) 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 (+ (* 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 (+ (* im 0) (+ (* 0 0) (+ (* (/ 1/2 im) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2.0)))) 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 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 (+ (* 2.0 (* im 1)) (* 2.0 (* 1 re))) into (+ (* 2.0 re) (* 2.0 im))
* [misc]approximate:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 2.0) 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 (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) 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 4.0 into 4.0
* [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) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 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) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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) (+ (* 0 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) (* 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]approximate:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* -1 2.0) into -2.0
* [misc]backup-simplify:  Simplify (+ 2.0 -2.0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) 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 0) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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) (+ (* 0 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) (* 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]progress:  [ 3 / 4 ] generating series at (2 2 2 1 2 1 1 1 1 1)
* [misc]approximate:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [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 (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* im 2.0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (* 0 2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 im) 0) 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 (+ (* im 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2.0)) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [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 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 (+ (* im 0) (+ (* 0 0) (* (/ 1/2 im) 2.0))) into (* 1.0 (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 im)) 0) 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 (+ (* 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 (+ (* im 0) (+ (* 0 0) (+ (* (/ 1/2 im) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2.0)))) 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 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 (+ (* 2.0 (* im 1)) (* 2.0 (* 1 re))) into (+ (* 2.0 re) (* 2.0 im))
* [misc]approximate:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 2.0) 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 (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) 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 4.0 into 4.0
* [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) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 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) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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) (+ (* 0 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) (* 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]approximate:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* -1 2.0) into -2.0
* [misc]backup-simplify:  Simplify (+ 2.0 -2.0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) 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 0) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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) (+ (* 0 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) (* 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]progress:  [ 4 / 4 ] generating series at (2 2 2 1 1 2 1 1)
* [misc]approximate:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [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 (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot re im) 2.0 (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot re im) 2.0) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot re im) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* re 2.0) in re
* [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 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* im 2.0) into (* 2.0 im)
* [misc]backup-simplify:  Simplify (* 0 2.0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 im) 0) 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 (+ (* im 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2.0)) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [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 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 (+ (* im 0) (+ (* 0 0) (* (/ 1/2 im) 2.0))) into (* 1.0 (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 im)) 0) 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 (+ (* 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 (+ (* im 0) (+ (* 0 0) (+ (* (/ 1/2 im) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2.0)))) 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 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 (+ (* 2.0 (* im 1)) (* 2.0 (* 1 re))) into (+ (* 2.0 re) (* 2.0 im))
* [misc]approximate:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 re) (/ 1 im)) 2.0 (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 re) (/ 1 im)) 2.0) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 re) (/ 1 im)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 2.0) 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 (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) 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 4.0 into 4.0
* [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) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 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) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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) (+ (* 0 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) (* 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]approximate:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (fma (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0 (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* (hypot (/ 1 (- re)) (/ 1 (- im))) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 2.0) 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 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (* -1 2.0) into -2.0
* [misc]backup-simplify:  Simplify (+ 2.0 -2.0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) 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 0) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 2.0))) into (* 1.0 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ 1 (pow im 2))) 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]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 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 (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) 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) (+ (* 0 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) (* 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]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (log1p (expm1 (fma (hypot re im) 2.0 (* re 2.0)))))))))))))>
* * * * [misc]progress:  [ 2 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (expm1 (log1p (fma (hypot re im) 2.0 (* re 2.0)))))))))))))>
* * * * [misc]progress:  [ 3 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (+ (* (hypot re im) 2.0) (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 4 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (pow (fma (hypot re im) 2.0 (* re 2.0)) 1))))))))))>
* * * * [misc]progress:  [ 5 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (exp (log (fma (hypot re im) 2.0 (* re 2.0)))))))))))))>
* * * * [misc]progress:  [ 6 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (log (exp (fma (hypot re im) 2.0 (* re 2.0)))))))))))))>
* * * * [misc]progress:  [ 7 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))))>
* * * * [misc]progress:  [ 8 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (cbrt (* (* (fma (hypot re im) 2.0 (* re 2.0)) (fma (hypot re im) 2.0 (* re 2.0))) (fma (hypot re im) 2.0 (* re 2.0)))))))))))))>
* * * * [misc]progress:  [ 9 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))))>
* * * * [misc]progress:  [ 10 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* 1 (fma (hypot re im) 2.0 (* re 2.0))))))))))))>
* * * * [misc]progress:  [ 11 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (log1p (expm1 (fma (hypot re im) 2.0 (* re 2.0)))))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 12 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (expm1 (log1p (fma (hypot re im) 2.0 (* re 2.0)))))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 13 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (+ (* (hypot re im) 2.0) (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 14 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (pow (fma (hypot re im) 2.0 (* re 2.0)) 1))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 15 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (exp (log (fma (hypot re im) 2.0 (* re 2.0)))))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 16 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (log (exp (fma (hypot re im) 2.0 (* re 2.0)))))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 17 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 18 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (cbrt (* (* (fma (hypot re im) 2.0 (* re 2.0)) (fma (hypot re im) 2.0 (* re 2.0))) (fma (hypot re im) 2.0 (* re 2.0)))))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 19 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 20 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (* 1 (fma (hypot re im) 2.0 (* re 2.0))))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 21 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (log1p (expm1 (fma (hypot re im) 2.0 (* re 2.0))))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 22 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (expm1 (log1p (fma (hypot re im) 2.0 (* re 2.0))))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 23 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (+ (* (hypot re im) 2.0) (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 24 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (pow (fma (hypot re im) 2.0 (* re 2.0)) 1)) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 25 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (exp (log (fma (hypot re im) 2.0 (* re 2.0))))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 26 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (log (exp (fma (hypot re im) 2.0 (* re 2.0))))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 27 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0))))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 28 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (cbrt (* (* (fma (hypot re im) 2.0 (* re 2.0)) (fma (hypot re im) 2.0 (* re 2.0))) (fma (hypot re im) 2.0 (* re 2.0))))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 29 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 30 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (* 1 (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 31 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (log1p (expm1 (fma (hypot re im) 2.0 (* re 2.0))))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 32 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (expm1 (log1p (fma (hypot re im) 2.0 (* re 2.0))))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 33 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (+ (* (hypot re im) 2.0) (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 34 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (pow (fma (hypot re im) 2.0 (* re 2.0)) 1)))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 35 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (exp (log (fma (hypot re im) 2.0 (* re 2.0))))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 36 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (log (exp (fma (hypot re im) 2.0 (* re 2.0))))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 37 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0))))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 38 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (cbrt (* (* (fma (hypot re im) 2.0 (* re 2.0)) (fma (hypot re im) 2.0 (* re 2.0))) (fma (hypot re im) 2.0 (* re 2.0))))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 39 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) (sqrt (fma (hypot re im) 2.0 (* re 2.0))))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 40 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (* 1 (fma (hypot re im) 2.0 (* re 2.0)))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* * * * [misc]progress:  [ 41 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (+ (* 2.0 re) (* 2.0 im)))))))))))>
* [enter]simplify:  Simplifying (+ (* 2.0 re) (* 2.0 im))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (* (+ re im) 2.0)
* [misc]simplify:  Simplified (2 2 2 1 2 1 1 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (+ re im) 2.0))))))))))
* * * * [misc]progress:  [ 42 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* 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 (* 4.0 re)
* [misc]simplify:  Simplified (2 2 2 1 2 1 1 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* 4.0 re))))))))))
* * * * [misc]progress:  [ 43 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt 0)))))))))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2 2 1 2 1 1 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt 0)))))))))
* * * * [misc]progress:  [ 44 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (+ (* 2.0 re) (* 2.0 im)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* [enter]simplify:  Simplifying (+ (* 2.0 re) (* 2.0 im))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (* (+ re im) 2.0)
* [misc]simplify:  Simplified (2 2 2 1 2 1 1 1 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (* (+ re im) 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))
* * * * [misc]progress:  [ 45 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (* 4.0 re))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* [enter]simplify:  Simplifying (* 4.0 re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (* 4.0 re)
* [misc]simplify:  Simplified (2 2 2 1 2 1 1 1 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (* 4.0 re))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))
* * * * [misc]progress:  [ 46 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt 0)) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2 2 1 2 1 1 1 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt 0)) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))
* * * * [misc]progress:  [ 47 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (+ (* 2.0 re) (* 2.0 im))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* [enter]simplify:  Simplifying (+ (* 2.0 re) (* 2.0 im))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (* (+ re im) 2.0)
* [misc]simplify:  Simplified (2 2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (* (+ re im) 2.0)) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))
* * * * [misc]progress:  [ 48 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (* 4.0 re)) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* [enter]simplify:  Simplifying (* 4.0 re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (* 4.0 re)
* [misc]simplify:  Simplified (2 2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (* 4.0 re)) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))
* * * * [misc]progress:  [ 49 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt 0) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt 0) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))
* * * * [misc]progress:  [ 50 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (+ (* 2.0 re) (* 2.0 im))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* [enter]simplify:  Simplifying (+ (* 2.0 re) (* 2.0 im))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (* (+ re im) 2.0)
* [misc]simplify:  Simplified (2 2 2 1 1 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (* (+ re im) 2.0)))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))
* * * * [misc]progress:  [ 51 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (* 4.0 re)))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* [enter]simplify:  Simplifying (* 4.0 re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (* 4.0 re)
* [misc]simplify:  Simplified (2 2 2 1 1 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (* 4.0 re)))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))
* * * * [misc]progress:  [ 52 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt 0))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2 2 1 1 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt 0))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime:  Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re im) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))>)
* * * [misc]regime-changes:  Trying 7 branch expressions: (im (* im im) re (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
* * * * [misc]regimes:  Trying to branch on im from (#<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re im) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))>)
* * * * [misc]regimes:  Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re im) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))>)
* * * * [misc]regimes:  Trying to branch on re from (#<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re im) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))>)
* * * * [misc]regimes:  Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re im) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))>)
* * * * [misc]regimes:  Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (#<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re im) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))>)
* * * * [misc]regimes:  Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (#<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re im) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))>)
* * * * [misc]regimes:  Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (#<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (* (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))) (sqrt (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re im) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))>)
* * * [misc]regime:  Found split indices: #<option (#s(si 3 256))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (hypot re im) 2.0 (* re 2.0))) 0.5)
* * * * [misc]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:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2880
* * * * [misc]points:  Setting MPFR precision to 3136
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2880
* * * * [misc]points:  Setting MPFR precision to 3136
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2880
* * * * [misc]points:  Setting MPFR precision to 3136
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2880
* * * * [misc]points:  Setting MPFR precision to 3136
* * * * [misc]points:  Computing exacts on every 15 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 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:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8000 points with exact outputs