* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
* * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  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:  Setting MPFR precision to 2368
* * * * [misc]points:  Setting MPFR precision to 2624
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Setting MPFR precision to 2624
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Setting MPFR precision to 2624
* * * * [misc]points:  Setting MPFR precision to 2880
* * * * [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 2.0 (hypot re im) (* re 2.0))))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
"ALT DATA: "{"all-alts":["#<alt-event (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>","#<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (hypot re im) (* re 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98314001593e+222,7.17939675829627e-158],1,0],[[5.706174991628051e-294,-8.833333360285963e+123],0,0],[[1.6543220134558954e+211,-2.0075913201092103e-110],1,0],[[-5.799494962865382e+179,-1.9221933359897497e-164],1,59.48768274756906]],"picked":"(λ (re im) (* 0.5 (sqrt (fma 2.0 (hypot re im) (* re 2.0)))))"}* * * * [misc]pick:  Picked  #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (hypot re im) (* re 2.0)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 3 ] rewriting at (2 2 1)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 2)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2 2 1 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 3 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (fma 2.0 (hypot re im) (* re 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot re im) (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot re im)) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot re 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 (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (* re 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 2.0 (hypot re im) (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot re im)) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (* re 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 2.0 (hypot re im) (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot re im)) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (* re 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 (* 2.0 im) 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 (+ (* 2.0 0) (* 0 im)) 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 (+ (* 2.0 (/ 1/2 im)) (+ (* 0 0) (* 0 im))) 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 (+ (* 2.0 0) (+ (* 0 (/ 1/2 im)) (+ (* 0 0) (* 0 im)))) 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 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 re) (/ 1 im))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 re) (/ 1 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 (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 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 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 re) (/ 1 im))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 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 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 re) (/ 1 im))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 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 (* 2.0 1) 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 (+ (* 2.0 0) (* 0 1)) 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 (+ (* 2.0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 1))) 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]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 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) (+ (* 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 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 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- 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 (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 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 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 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 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 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 (* 2.0 1) 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 (+ (* 2.0 0) (* 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 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 (+ (* 2.0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 1))) 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]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 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 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 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 / 3 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (fma 2.0 (hypot re im) (* re 2.0))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2.0 (hypot re im) (* re 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot re im) (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot re im)) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot re 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 (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (* re 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 (* 2.0 re) 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 (+ (* 2.0 0) (* 0 re)) 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 2.0 (hypot re im) (* re 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot re im) (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot re im)) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (* re 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 (* 2.0 im) 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 (+ (* 2.0 0) (* 0 im)) 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 2.0 (hypot re im) (* re 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot re im) (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot re im)) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (* re 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 (* 2.0 im) 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 (+ (* 2.0 0) (* 0 im)) 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 (+ (* 2.0 (/ 1/2 im)) (+ (* 0 0) (* 0 im))) 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 (exp (* 2 (log (sqrt 2.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt 2.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2.0)) into (log (sqrt 2.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt 2.0))) into (* 2 (log (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 2)
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2.0) 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (sqrt 2.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2.0) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2.0) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))
* [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 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))
* [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 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))) (+ (* 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))) (* 0 0))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0)))))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (/ 1 (sqrt 2.0)))) (* 1 re)))) into (- (+ (* +nan.0 (/ re (sqrt 2.0))) (- (+ (* +nan.0 (/ (pow re 2) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (/ (pow re 2) (sqrt 2.0))))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 re) (/ 1 im))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 re) (/ 1 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 (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 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 (* 2.0 1) 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 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 re) (/ 1 im))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 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 (* 2.0 1) 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 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 re) (/ 1 im))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 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 (* 2.0 1) 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 (+ (* 2.0 0) (* 0 1)) 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 (+ (* 2.0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 1))) 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]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1.0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 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) (+ (* 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]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 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 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 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- 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 (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 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 (* 2.0 1) 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 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 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 (* 2.0 1) 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 (+ (* 2.0 0) (* 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 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 (+ (* 2.0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 1))) 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 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 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 (* 2.0 1) 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 (+ (* 2.0 0) (* 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 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 (+ (* 2.0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 1))) 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]backup-simplify:  Simplify (/ +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 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 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]backup-simplify:  Simplify (/ +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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 (+ (* 2.0 (/ -1/8 (pow im 4))) (+ (* 0 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 1))))) 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 (+ (* 0.25 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* 0.25 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* 0.25 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im
* [misc]taylor:  Taking taylor expansion of (* 0.25 (/ 1 (pow im 4))) in im
* [misc]taylor:  Taking taylor expansion of 0.25 in im
* [misc]backup-simplify:  Simplify 0.25 into 0.25
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 4)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 4) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 6)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 6) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.25 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0.25 1) into 0.25
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0.25 0) into 0.25
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.25) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 3 / 3 ] generating series at (2 2 1 2)
* [misc]approximate:  Taking taylor expansion of (hypot re im) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 im) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* im 1)) into im
* [misc]approximate:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
* [misc]approximate:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (log1p (expm1 (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (expm1 (fma 2.0 (hypot re im) (* 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 (expm1 (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (expm1 (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 2 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (expm1 (log1p (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (log1p (fma 2.0 (hypot re im) (* 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 (log1p (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (log1p (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 3 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (+ (* 2.0 (hypot re im)) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* 2.0 (hypot re im))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (hypot re im) 2.0)
* [exit]simplify:  Simplified to (* (hypot re im) 2.0)
* * * * [misc]progress:  [ 4 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (pow (fma 2.0 (hypot re im) (* re 2.0)) 1))))>
* * * * [misc]progress:  [ 5 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (exp (log (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (log (fma 2.0 (hypot re im) (* 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 (23 enodes)
* [exit]simplify:  Simplified to (log (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (log (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 6 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (log (exp (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (exp (fma 2.0 (hypot re im) (* re 2.0)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (exp (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (exp (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 7 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* [enter]simplify:  Simplifying (cbrt (fma 2.0 (hypot re im) (* 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 (cbrt (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (cbrt (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 8 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (cbrt (* (* (fma 2.0 (hypot re im) (* re 2.0)) (fma 2.0 (hypot re im) (* re 2.0))) (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* (* (fma 2.0 (hypot re im) (* re 2.0)) (fma 2.0 (hypot re im) (* re 2.0))) (fma 2.0 (hypot re im) (* re 2.0)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* [exit]simplify:  Simplified to (pow (fma (hypot re im) 2.0 (* re 2.0)) 3)
* [exit]simplify:  Simplified to (pow (fma (hypot re im) 2.0 (* re 2.0)) 3)
* * * * [misc]progress:  [ 9 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (sqrt (fma 2.0 (hypot re im) (* re 2.0))) (sqrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (sqrt (fma 2.0 (hypot re im) (* 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 (* re 2.0)))
* [exit]simplify:  Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0)))
* [enter]simplify:  Simplifying (sqrt (fma 2.0 (hypot re im) (* 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 (* re 2.0)))
* [exit]simplify:  Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 10 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 1 (fma 2.0 (hypot re im) (* re 2.0))))))>
* * * * [misc]progress:  [ 11 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (log1p (expm1 (sqrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (expm1 (sqrt (fma 2.0 (hypot re im) (* 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 (expm1 (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (expm1 (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 12 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (expm1 (log1p (sqrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (log1p (sqrt (fma 2.0 (hypot re im) (* 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 (log1p (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (log1p (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 13 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (pow (fma 2.0 (hypot re im) (* re 2.0)) 1/2)))>
* * * * [misc]progress:  [ 14 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (pow (sqrt (fma 2.0 (hypot re im) (* re 2.0))) 1)))>
* * * * [misc]progress:  [ 15 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (exp (log (sqrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (log (sqrt (fma 2.0 (hypot re im) (* 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 (log (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (log (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 16 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (log (exp (sqrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (exp (sqrt (fma 2.0 (hypot re im) (* 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 (exp (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (exp (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 17 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* (* (cbrt (sqrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (sqrt (fma 2.0 (hypot re im) (* re 2.0))))) (cbrt (sqrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (sqrt (fma 2.0 (hypot re im) (* 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 (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0)))))
* [enter]simplify:  Simplifying (cbrt (sqrt (fma 2.0 (hypot re im) (* 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 (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 18 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cbrt (* (* (sqrt (fma 2.0 (hypot re im) (* re 2.0))) (sqrt (fma 2.0 (hypot re im) (* re 2.0)))) (sqrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (fma 2.0 (hypot re im) (* re 2.0))) (sqrt (fma 2.0 (hypot re im) (* re 2.0)))) (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* * [misc]simplify:  iters left: 1 (101 enodes)
* [exit]simplify:  Simplified to (* (fma (hypot re im) 2.0 (* re 2.0)) (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (* (fma (hypot re im) 2.0 (* re 2.0)) (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 19 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* (sqrt (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0))))) (sqrt (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* 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 (* re 2.0))))
* [exit]simplify:  Simplified to (fabs (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* [enter]simplify:  Simplifying (sqrt (cbrt (fma 2.0 (hypot re im) (* 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 (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (sqrt (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 20 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* (sqrt (sqrt (fma 2.0 (hypot re im) (* re 2.0)))) (sqrt (sqrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (fma 2.0 (hypot re im) (* 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 (* re 2.0))))
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [enter]simplify:  Simplifying (sqrt (sqrt (fma 2.0 (hypot re im) (* 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 (* re 2.0))))
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 21 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* (sqrt 1) (sqrt (fma 2.0 (hypot re im) (* re 2.0))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (fma 2.0 (hypot re im) (* 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 (* re 2.0)))
* [exit]simplify:  Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 22 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* (sqrt (sqrt (fma 2.0 (hypot re im) (* re 2.0)))) (sqrt (sqrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (fma 2.0 (hypot re im) (* 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 (* re 2.0))))
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [enter]simplify:  Simplifying (sqrt (sqrt (fma 2.0 (hypot re im) (* 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 (* re 2.0))))
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 23 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (fabs (sqrt (fma 2.0 (hypot re im) (* re 2.0))))))>
* * * * [misc]progress:  [ 24 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* 1 (sqrt (fma 2.0 (hypot re im) (* re 2.0))))))>
* * * * [misc]progress:  [ 25 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (log1p (expm1 (hypot re im))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (expm1 (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (expm1 (hypot re im))
* [exit]simplify:  Simplified to (expm1 (hypot re im))
* * * * [misc]progress:  [ 26 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (expm1 (log1p (hypot re im))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (log1p (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (log1p (hypot re im))
* [exit]simplify:  Simplified to (log1p (hypot re im))
* * * * [misc]progress:  [ 27 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (sqrt (+ (* re re) (* im im))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (+ (* re re) (* im im))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (fma im im (* re re))
* [exit]simplify:  Simplified to (fma im im (* re re))
* * * * [misc]progress:  [ 28 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (pow (hypot re im) 1) (* re 2.0)))))>
* * * * [misc]progress:  [ 29 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (exp (log (hypot re im))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (log (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (log (hypot re im))
* [exit]simplify:  Simplified to (log (hypot re im))
* * * * [misc]progress:  [ 30 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (log (exp (hypot re im))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (exp (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (exp (hypot re im))
* [exit]simplify:  Simplified to (exp (hypot re im))
* * * * [misc]progress:  [ 31 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (cbrt (hypot re im)) (cbrt (hypot re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im)))
* [exit]simplify:  Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im)))
* [enter]simplify:  Simplifying (cbrt (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (hypot re im))
* [exit]simplify:  Simplified to (cbrt (hypot re im))
* * * * [misc]progress:  [ 32 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (cbrt (* (* (hypot re im) (hypot re im)) (hypot re im))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (* (hypot re im) (hypot re im)) (hypot re im))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (pow (hypot re im) 3)
* [exit]simplify:  Simplified to (pow (hypot re im) 3)
* * * * [misc]progress:  [ 33 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (sqrt (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [enter]simplify:  Simplifying (sqrt (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* * * * [misc]progress:  [ 34 / 43 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* 1 (hypot re im)) (* re 2.0)))))>
* * * * [misc]progress:  [ 35 / 43 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (+ (* 2.0 re) (* 2.0 im)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (+ (* 2.0 re) (* 2.0 im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (+ im re) 2.0)) 0.5)
* * * * [misc]progress:  [ 36 / 43 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* 4.0 re))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* 4.0 re)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* re 4.0)) 0.5)
* * * * [misc]progress:  [ 37 / 43 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt 0)))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt 0))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt 0))
* * * * [misc]progress:  [ 38 / 43 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (- (+ (* +nan.0 (/ re (sqrt 2.0))) (- (+ (* +nan.0 (/ (pow re 2) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (/ (pow re 2) (sqrt 2.0))))))))))))>
* [enter]simplify:  Simplifying (* 0.5 (- (+ (* +nan.0 (/ re (sqrt 2.0))) (- (+ (* +nan.0 (/ (pow re 2) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (/ (pow re 2) (sqrt 2.0)))))))))))
* * * * [misc]progress:  [ 39 / 43 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))))))>
* [enter]simplify:  Simplifying (* 0.5 (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))))
* * * * [misc]progress:  [ 40 / 43 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 0))>
* [enter]simplify:  Simplifying (* 0.5 0)
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 41 / 43 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma 2.0 im (* re 2.0)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma 2.0 im (* re 2.0))))
* * [misc]simplify:  iters left: 6 (8 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 (* (+ im re) 2.0)) 0.5)
* * * * [misc]progress:  [ 42 / 43 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma 2.0 re (* re 2.0)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma 2.0 re (* re 2.0))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (+ 2.0 2.0) re)) 0.5)
* * * * [misc]progress:  [ 43 / 43 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma 2.0 (* -1 re) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma 2.0 (* -1 re) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (* (sqrt 0) 0.5)
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
"ALT DATA: "{"all-alts":["#<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>","#<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (* re 2.0)))))>","#<alt-delta (λ (re im) (* 0.5 (sqrt (expm1 (log1p (fma 2.0 (hypot re im) (* re 2.0)))))))>","#<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))))>","#<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (exp (log (hypot re im))) (* re 2.0)))))>","#<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (hypot re im) (* re 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(re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))"}* * * * [misc]pick:  Picked  #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1 2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1 1 2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1 1 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1 2 1)
* [misc]approximate:  Taking taylor expansion of (fma 2.0 (hypot re im) (* re 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot re im) (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot re im)) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot re 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 (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (* re 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 2.0 (hypot re im) (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot re im)) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (* re 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 2.0 (hypot re im) (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot re im)) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (* re 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 (* 2.0 im) 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 (+ (* 2.0 0) (* 0 im)) 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 (+ (* 2.0 (/ 1/2 im)) (+ (* 0 0) (* 0 im))) 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 (+ (* 2.0 0) (+ (* 0 (/ 1/2 im)) (+ (* 0 0) (* 0 im)))) 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 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 re) (/ 1 im))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 re) (/ 1 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 (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 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 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 re) (/ 1 im))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 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 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 re) (/ 1 im))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 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 (* 2.0 1) 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 (+ (* 2.0 0) (* 0 1)) 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 (+ (* 2.0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 1))) 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]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 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) (+ (* 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 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 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- 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 (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 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 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 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 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 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 (* 2.0 1) 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 (+ (* 2.0 0) (* 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 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 (+ (* 2.0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 1))) 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]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 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 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 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 2 1)
* [misc]approximate:  Taking taylor expansion of (fma 2.0 (hypot re im) (* re 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot re im) (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot re im)) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot re 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 (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (* re 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 2.0 (hypot re im) (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot re im)) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (* re 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 2.0 (hypot re im) (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot re im)) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (* re 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 (* 2.0 im) 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 (+ (* 2.0 0) (* 0 im)) 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 (+ (* 2.0 (/ 1/2 im)) (+ (* 0 0) (* 0 im))) 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 (+ (* 2.0 0) (+ (* 0 (/ 1/2 im)) (+ (* 0 0) (* 0 im)))) 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 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 re) (/ 1 im))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 re) (/ 1 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 (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 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 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 re) (/ 1 im))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 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 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 re) (/ 1 im))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 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 (* 2.0 1) 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 (+ (* 2.0 0) (* 0 1)) 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 (+ (* 2.0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 1))) 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]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 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) (+ (* 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 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 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- 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 (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 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 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 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 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 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 (* 2.0 1) 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 (+ (* 2.0 0) (* 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 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 (+ (* 2.0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 1))) 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]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 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 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 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 1 1 1 1)
* [misc]approximate:  Taking taylor expansion of (fma 2.0 (hypot re im) (* re 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot re im) (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot re im)) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot re 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 (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (* re 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 2.0 (hypot re im) (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot re im)) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (* re 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 2.0 (hypot re im) (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot re im)) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (* re 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 (* 2.0 im) 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 (+ (* 2.0 0) (* 0 im)) 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 (+ (* 2.0 (/ 1/2 im)) (+ (* 0 0) (* 0 im))) 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 (+ (* 2.0 0) (+ (* 0 (/ 1/2 im)) (+ (* 0 0) (* 0 im)))) 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 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 re) (/ 1 im))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 re) (/ 1 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 (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 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 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 re) (/ 1 im))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 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 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 re) (/ 1 im))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 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 (* 2.0 1) 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 (+ (* 2.0 0) (* 0 1)) 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 (+ (* 2.0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 1))) 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]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 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) (+ (* 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 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 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- 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 (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 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 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 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 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 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 (* 2.0 1) 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 (+ (* 2.0 0) (* 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 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 (+ (* 2.0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 1))) 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]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 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 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 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 2)
* [misc]approximate:  Taking taylor expansion of (cbrt (fma 2.0 (hypot re im) (* re 2.0))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2.0 (hypot re im) (* re 2.0))) in im
* [misc]taylor:  Rewrote expression to (pow (fma 2.0 (hypot re im) (* re 2.0)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma 2.0 (hypot re im) (* re 2.0))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma 2.0 (hypot re im) (* re 2.0)))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma 2.0 (hypot re im) (* re 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot re im) (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot re im)) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot re 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 (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (* re 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 (* 2.0 re) 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 (log (* 4.0 re)) into (log (* 4.0 re))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* 4.0 re))) into (* 1/3 (log (* 4.0 re)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* 4.0 re)))) into (pow (* 4.0 re) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2.0 (hypot re im) (* re 2.0))) in re
* [misc]taylor:  Rewrote expression to (pow (fma 2.0 (hypot re im) (* re 2.0)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma 2.0 (hypot re im) (* re 2.0))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma 2.0 (hypot re im) (* re 2.0)))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma 2.0 (hypot re im) (* re 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot re im) (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot re im)) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (* re 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 (* 2.0 im) 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 (log (* 2.0 im)) into (log (* 2.0 im))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* 2.0 im))) into (* 1/3 (log (* 2.0 im)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* 2.0 im)))) into (pow (* 2.0 im) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2.0 (hypot re im) (* re 2.0))) in re
* [misc]taylor:  Rewrote expression to (pow (fma 2.0 (hypot re im) (* re 2.0)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma 2.0 (hypot re im) (* re 2.0))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma 2.0 (hypot re im) (* re 2.0)))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma 2.0 (hypot re im) (* re 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot re im) (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot re im)) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (* re 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 (* 2.0 im) 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 (log (* 2.0 im)) into (log (* 2.0 im))
* [misc]backup-simplify:  Simplify (* 1/3 (log (* 2.0 im))) into (* 1/3 (log (* 2.0 im)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (* 2.0 im)))) into (pow (* 2.0 im) 1/3)
* [misc]taylor:  Taking taylor expansion of (pow (* 2.0 im) 1/3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (* 2.0 im)))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (* 2.0 im))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (* 2.0 im)) in 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 (+ (* 2.0 1) (* 0 0)) into 2.0
* [misc]backup-simplify:  Simplify (log 2.0) into (log 2.0)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log im)) (log 2.0)) into (+ (log 2.0) (log im))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log 2.0) (log im))) into (* 1/3 (+ (log 2.0) (log im)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log 2.0) (log im)))) into (exp (* 1/3 (+ (log 2.0) (log im))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log 2.0) (log im)))) into (exp (* 1/3 (+ (log 2.0) (log im))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 im)) 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 (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow (* 2.0 im) 1)))) 1) into (/ 1.0 im)
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1.0 im)) (* 0 (log (* 2.0 im)))) into (* 0.3333333333333333 (/ 1 im))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* 2.0 im)))) (+ (* (/ (pow (* 0.3333333333333333 (/ 1 im)) 1) 1)))) into (* 0.3333333333333333 (pow (/ 2.0 (pow im 2)) 1/3))
* [misc]taylor:  Taking taylor expansion of (* 0.3333333333333333 (pow (/ 2.0 (pow im 2)) 1/3)) in im
* [misc]taylor:  Taking taylor expansion of 0.3333333333333333 in im
* [misc]backup-simplify:  Simplify 0.3333333333333333 into 0.3333333333333333
* [misc]taylor:  Taking taylor expansion of (pow (/ 2.0 (pow im 2)) 1/3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 2.0 (pow im 2))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 2.0 (pow im 2)))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 2.0 (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of (/ 2.0 (pow im 2)) 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 (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (log 2.0) into (log 2.0)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log im)) (log 2.0)) into (- (log 2.0) (* 2 (log im)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log 2.0) (* 2 (log im)))) into (* 1/3 (- (log 2.0) (* 2 (log im))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log 2.0) (* 2 (log im))))) into (exp (* 1/3 (- (log 2.0) (* 2 (log im)))))
* [misc]backup-simplify:  Simplify (* 0.3333333333333333 (exp (* 1/3 (- (log 2.0) (* 2 (log im)))))) into (* 0.3333333333333333 (exp (* 1/3 (- (log 2.0) (* 2 (log im))))))
* [misc]backup-simplify:  Simplify (* 0.3333333333333333 (exp (* 1/3 (- (log 2.0) (* 2 (log im)))))) into (* 0.3333333333333333 (exp (* 1/3 (- (log 2.0) (* 2 (log im))))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log im)) (log 2.0)) into (+ (log 2.0) (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (+ (log 2.0) (log im)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log 2.0) (log im)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ 1/2 im)) (+ (* 0 0) (* 0 im))) 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 (/ (* (pow (* 1 2.0) 2)) (pow (* 2.0 im) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1.0 (/ 1 im))) 1)) (pow (* 2.0 im) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (/ 1.0 im)) (* 0 (log (* 2.0 im))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (log (* 2.0 im)))) (+ (* (/ (pow (* 0.3333333333333333 (/ 1 im)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.05555555555555555 (pow (/ 2.0 (pow im 5)) 1/3))
* [misc]taylor:  Taking taylor expansion of (* 0.05555555555555555 (pow (/ 2.0 (pow im 5)) 1/3)) in im
* [misc]taylor:  Taking taylor expansion of 0.05555555555555555 in im
* [misc]backup-simplify:  Simplify 0.05555555555555555 into 0.05555555555555555
* [misc]taylor:  Taking taylor expansion of (pow (/ 2.0 (pow im 5)) 1/3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (/ 2.0 (pow im 5))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (/ 2.0 (pow im 5)))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (/ 2.0 (pow im 5))) in im
* [misc]taylor:  Taking taylor expansion of (/ 2.0 (pow im 5)) 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 (pow im 5) in im
* [misc]backup-simplify:  Simplify (/ 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (log 2.0) into (log 2.0)
* [misc]backup-simplify:  Simplify (+ (* (- 5) (log im)) (log 2.0)) into (- (log 2.0) (* 5 (log im)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log 2.0) (* 5 (log im)))) into (* 1/3 (- (log 2.0) (* 5 (log im))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log 2.0) (* 5 (log im))))) into (exp (* 1/3 (- (log 2.0) (* 5 (log im)))))
* [misc]backup-simplify:  Simplify (* 0.05555555555555555 (exp (* 1/3 (- (log 2.0) (* 5 (log im)))))) into (* 0.05555555555555555 (exp (* 1/3 (- (log 2.0) (* 5 (log im))))))
* [misc]backup-simplify:  Simplify (* 0.05555555555555555 (exp (* 1/3 (- (log 2.0) (* 5 (log im)))))) into (* 0.05555555555555555 (exp (* 1/3 (- (log 2.0) (* 5 (log im))))))
* [misc]backup-simplify:  Simplify (+ (* (* 0.05555555555555555 (exp (* 1/3 (- (log 2.0) (* 5 (log im)))))) (pow (* 1 re) 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (- (log 2.0) (* 2 (log im)))))) (* 1 re)) (exp (* 1/3 (+ (log 2.0) (log im)))))) into (+ (* 0.05555555555555555 (* (pow re 2) (exp (* 1/3 (- (log 2.0) (* 5 (log im))))))) (+ (exp (* 1/3 (+ (log 2.0) (log im)))) (* 0.3333333333333333 (* re (exp (* 1/3 (- (log 2.0) (* 2 (log im)))))))))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0))) in im
* [misc]taylor:  Rewrote expression to (pow (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 re) (/ 1 im))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 re) (/ 1 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 (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 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 (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (log 2.0) into (log 2.0)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) (log 2.0)) into (- (log 2.0) (log im))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log 2.0) (log im))) into (* 1/3 (- (log 2.0) (log im)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log 2.0) (log im)))) into (exp (* 1/3 (- (log 2.0) (log im))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0))) in re
* [misc]taylor:  Rewrote expression to (pow (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 re) (/ 1 im))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 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 (* 2.0 1) 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 (log 4.0) into (log 4.0)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) (log 4.0)) into (- (log 4.0) (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log 4.0) (log re))) into (* 1/3 (- (log 4.0) (log re)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log 4.0) (log re)))) into (exp (* 1/3 (- (log 4.0) (log re))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0))) in re
* [misc]taylor:  Rewrote expression to (pow (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot (/ 1 re) (/ 1 im)) (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 re) (/ 1 im))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 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 (* 2.0 1) 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 (log 4.0) into (log 4.0)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) (log 4.0)) into (- (log 4.0) (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log 4.0) (log re))) into (* 1/3 (- (log 4.0) (log re)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log 4.0) (log re)))) into (exp (* 1/3 (- (log 4.0) (log re))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log 4.0) (log re)))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log 4.0) (log re))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log 4.0) (log re)) in im
* [misc]taylor:  Taking taylor expansion of (log 4.0) in im
* [misc]taylor:  Taking taylor expansion of 4.0 in im
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (log 4.0) into (log 4.0)
* [misc]taylor:  Taking taylor expansion of (log re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (log 4.0) (- (log re))) into (- (log 4.0) (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log 4.0) (log re))) into (* 1/3 (- (log 4.0) (log re)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log 4.0) (log re)))) into (exp (* 1/3 (- (log 4.0) (log re))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log 4.0) (log re)))) into (exp (* 1/3 (- (log 4.0) (log re))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 1)) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4.0 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) (log 4.0)) into (- (log 4.0) (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log 4.0) (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4.0 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log 4.0) (log re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 1))) 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 (/ (* (pow (* 1 0) 2)) (pow 4.0 2))) (* 1 (/ (* 1 (pow (* 2 (* 1.0 (/ 1 (pow im 2)))) 1)) (pow 4.0 1)))) 2) into (/ 0.25 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) (log 4.0)) into (- (log 4.0) (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 0.25 (pow im 2))) (+ (* 0 0) (* 0 (- (log 4.0) (log re))))) into (* 0.08333333333333333 (/ 1 (pow im 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 0.08333333333333333 (/ 1 (pow im 2))) 1) 1)))) into (* 0.08333333333333333 (/ (exp (* 1/3 (- (log 4.0) (log re)))) (pow im 2)))
* [misc]taylor:  Taking taylor expansion of (* 0.08333333333333333 (/ (exp (* 1/3 (- (log 4.0) (log re)))) (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of 0.08333333333333333 in im
* [misc]backup-simplify:  Simplify 0.08333333333333333 into 0.08333333333333333
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/3 (- (log 4.0) (log re)))) (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log 4.0) (log re)))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log 4.0) (log re))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log 4.0) (log re)) in im
* [misc]taylor:  Taking taylor expansion of (log 4.0) in im
* [misc]taylor:  Taking taylor expansion of 4.0 in im
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]backup-simplify:  Simplify (log 4.0) into (log 4.0)
* [misc]taylor:  Taking taylor expansion of (log re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]backup-simplify:  Simplify (- (log re)) into (- (log re))
* [misc]backup-simplify:  Simplify (+ (log 4.0) (- (log re))) into (- (log 4.0) (log re))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log 4.0) (log re))) into (* 1/3 (- (log 4.0) (log re)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log 4.0) (log re)))) into (exp (* 1/3 (- (log 4.0) (log re))))
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (- (log 4.0) (log re)))) 1) into (exp (* 1/3 (- (log 4.0) (log re))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4.0 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log 4.0) (log re)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 4.0 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 4.0) (log re))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 4.0) (log re)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 4.0) (log re)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.08333333333333333 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 4.0) (log re))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 4.0 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 4.0) (log re))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 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) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 4.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1.0 (/ 1 (pow im 2)))) 1)) (pow 4.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 4.0 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log re)) (log 4.0)) into (- (log 4.0) (log re))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (/ 0.25 (pow im 2))) (+ (* 0 0) (* 0 (- (log 4.0) (log re)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 0.08333333333333333 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log 4.0) (log (/ 1 re))))) into (exp (* 1/3 (- (log 4.0) (log (/ 1 re)))))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0))) in im
* [misc]taylor:  Rewrote expression to (pow (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- 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 (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 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 (* 2.0 1) into 2.0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify (log 2.0) into (log 2.0)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log im)) (log 2.0)) into (- (log 2.0) (log im))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log 2.0) (log im))) into (* 1/3 (- (log 2.0) (log im)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log 2.0) (log im)))) into (exp (* 1/3 (- (log 2.0) (log im))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0))) in re
* [misc]taylor:  Rewrote expression to (pow (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 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 (* 2.0 1) 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 (+ (* 2.0 0) (* 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 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 (+ (* 2.0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 1))) 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 (log (* 1.0 (/ 1 (pow im 2)))) into (log (/ 1.0 (pow im 2)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log re)) (log (/ 1.0 (pow im 2)))) into (+ (log re) (log (/ 1.0 (pow im 2))))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log re) (log (/ 1.0 (pow im 2))))) into (* 1/3 (+ (log re) (log (/ 1.0 (pow im 2)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log re) (log (/ 1.0 (pow im 2)))))) into (exp (* 1/3 (+ (log re) (log (/ 1.0 (pow im 2))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0))) in re
* [misc]taylor:  Rewrote expression to (pow (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0))))) in re
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)))) in re
* [misc]taylor:  Taking taylor expansion of 1/3 in re
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (hypot (/ 1 (- re)) (/ 1 (- im))) (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 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 (* 2.0 1) 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 (+ (* 2.0 0) (* 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 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 (+ (* 2.0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 1))) 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 (log (* 1.0 (/ 1 (pow im 2)))) into (log (/ 1.0 (pow im 2)))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log re)) (log (/ 1.0 (pow im 2)))) into (+ (log re) (log (/ 1.0 (pow im 2))))
* [misc]backup-simplify:  Simplify (* 1/3 (+ (log re) (log (/ 1.0 (pow im 2))))) into (* 1/3 (+ (log re) (log (/ 1.0 (pow im 2)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (+ (log re) (log (/ 1.0 (pow im 2)))))) into (exp (* 1/3 (+ (log re) (log (/ 1.0 (pow im 2))))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (+ (log re) (log (/ 1.0 (pow im 2)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (+ (log re) (log (/ 1.0 (pow im 2))))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (+ (log re) (log (/ 1.0 (pow im 2)))) in im
* [misc]taylor:  Taking taylor expansion of (log re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]taylor:  Taking taylor expansion of (log (/ 1.0 (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1.0 (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 (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (log 1.0) into (log 1.0)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log im)) (log 1.0)) into (- (log 1.0) (* 2 (log im)))
* [misc]backup-simplify:  Simplify (+ (log re) (- (log 1.0) (* 2 (log im)))) into (- (+ (log 1.0) (log re)) (* 2 (log im)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (+ (log 1.0) (log re)) (* 2 (log im)))) into (* 1/3 (- (+ (log 1.0) (log re)) (* 2 (log im))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log 1.0) (log re)) (* 2 (log im))))) into (exp (* 1/3 (- (+ (log 1.0) (log re)) (* 2 (log im)))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log 1.0) (log re)) (* 2 (log im))))) into (exp (* 1/3 (- (+ (log 1.0) (log re)) (* 2 (log im)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 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 2.0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1.0 (/ 1 (pow im 2))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log re)) (log (/ 1.0 (pow im 2)))) into (+ (log re) (log (/ 1.0 (pow im 2))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (+ (log re) (log (/ 1.0 (pow im 2)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log re) (log (/ 1.0 (pow im 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1.0 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (+ (log 1.0) (log re)) (* 2 (log im))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log 1.0) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 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 (+ (* 2.0 (/ -1/8 (pow im 4))) (+ (* 0 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 1))))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1.0 (/ 1 (pow im 2))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.25 (/ 1 (pow im 4))))) 1)) (pow (* 1.0 (/ 1 (pow im 2))) 1)))) 2) into (/ -0.25 (pow im 2))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log re)) (log (/ 1.0 (pow im 2)))) into (+ (log re) (log (/ 1.0 (pow im 2))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ -0.25 (pow im 2))) (+ (* 0 0) (* 0 (+ (log re) (log (/ 1.0 (pow im 2))))))) into (- (* 0.08333333333333333 (/ 1 (pow im 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log re) (log (/ 1.0 (pow im 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 0.08333333333333333 (/ 1 (pow im 2)))) 1) 1)))) into (* -0.08333333333333333 (/ (exp (* 1/3 (+ (log re) (log (/ 1.0 (pow im 2)))))) (pow im 2)))
* [misc]taylor:  Taking taylor expansion of (* -0.08333333333333333 (/ (exp (* 1/3 (+ (log re) (log (/ 1.0 (pow im 2)))))) (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of -0.08333333333333333 in im
* [misc]backup-simplify:  Simplify -0.08333333333333333 into -0.08333333333333333
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/3 (+ (log re) (log (/ 1.0 (pow im 2)))))) (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (+ (log re) (log (/ 1.0 (pow im 2)))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/3 (+ (log re) (log (/ 1.0 (pow im 2))))) in im
* [misc]taylor:  Taking taylor expansion of 1/3 in im
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (+ (log re) (log (/ 1.0 (pow im 2)))) in im
* [misc]taylor:  Taking taylor expansion of (log re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (log re) into (log re)
* [misc]taylor:  Taking taylor expansion of (log (/ 1.0 (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1.0 (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 (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (log 1.0) into (log 1.0)
* [misc]backup-simplify:  Simplify (+ (* (- 2) (log im)) (log 1.0)) into (- (log 1.0) (* 2 (log im)))
* [misc]backup-simplify:  Simplify (+ (log re) (- (log 1.0) (* 2 (log im)))) into (- (+ (log 1.0) (log re)) (* 2 (log im)))
* [misc]backup-simplify:  Simplify (* 1/3 (- (+ (log 1.0) (log re)) (* 2 (log im)))) into (* 1/3 (- (+ (log 1.0) (log re)) (* 2 (log im))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log 1.0) (log re)) (* 2 (log im))))) into (exp (* 1/3 (- (+ (log 1.0) (log re)) (* 2 (log im)))))
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ (exp (* 1/3 (- (+ (log 1.0) (log re)) (* 2 (log im))))) 1) into (exp (* 1/3 (- (+ (log 1.0) (log re)) (* 2 (log im)))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1.0 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (+ (log 1.0) (log re)) (* 2 (log im))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log 1.0) (log re)) (* 2 (log im)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log 1.0) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log 1.0) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (+ (log 1.0) (log re)) (* 2 (log im))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (+ (log 1.0) (log re)) (* 2 (log im))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -0.08333333333333333 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (+ (log 1.0) (log re)) (* 2 (log im)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log 1.0) (log re)) (* 2 (log im)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log 1.0) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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)) (* 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 (- 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)) (* 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 (- 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow im 4)))) (* 2 (* (/ 1/2 (pow im 2)) 0)))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (/ -1/8 (pow im 4))) (+ (* 0 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 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 (- 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)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1.0 (/ 1 (pow im 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 0.25 (/ 1 (pow im 4))))) 1)) (pow (* 1.0 (/ 1 (pow im 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1.0 (/ 1 (pow im 2))) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log re)) (log (/ 1.0 (pow im 2)))) into (+ (log re) (log (/ 1.0 (pow im 2))))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 (/ -0.25 (pow im 2))) (+ (* 0 0) (* 0 (+ (log re) (log (/ 1.0 (pow im 2)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (+ (log re) (log (/ 1.0 (pow im 2)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 0.08333333333333333 (/ 1 (pow im 2)))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log 1.0) (log (/ 1 (- re)))) (* 2 (log (/ 1 (- im))))))) into (exp (* 1/3 (- (+ (log (/ -1 re)) (log 1.0)) (* 2 (log (/ -1 im))))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (log1p (expm1 (fma 2.0 (hypot re im) (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (expm1 (fma 2.0 (hypot re im) (* 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 (expm1 (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (expm1 (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 2 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (expm1 (log1p (fma 2.0 (hypot re im) (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (log1p (fma 2.0 (hypot re im) (* 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 (log1p (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (log1p (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 3 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (+ (* 2.0 (hypot re im)) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* 2.0 (hypot re im))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (hypot re im) 2.0)
* [exit]simplify:  Simplified to (* (hypot re im) 2.0)
* * * * [misc]progress:  [ 4 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (pow (fma 2.0 (hypot re im) (* re 2.0)) 1))))))>
* * * * [misc]progress:  [ 5 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (exp (log (fma 2.0 (hypot re im) (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (log (fma 2.0 (hypot re im) (* 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 (23 enodes)
* [exit]simplify:  Simplified to (log (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (log (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 6 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (log (exp (fma 2.0 (hypot re im) (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (exp (fma 2.0 (hypot re im) (* re 2.0)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (exp (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (exp (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 7 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* [enter]simplify:  Simplifying (cbrt (fma 2.0 (hypot re im) (* 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 (cbrt (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (cbrt (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 8 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (cbrt (* (* (fma 2.0 (hypot re im) (* re 2.0)) (fma 2.0 (hypot re im) (* re 2.0))) (fma 2.0 (hypot re im) (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (* (* (fma 2.0 (hypot re im) (* re 2.0)) (fma 2.0 (hypot re im) (* re 2.0))) (fma 2.0 (hypot re im) (* re 2.0)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* [exit]simplify:  Simplified to (pow (fma (hypot re im) 2.0 (* re 2.0)) 3)
* [exit]simplify:  Simplified to (pow (fma (hypot re im) 2.0 (* re 2.0)) 3)
* * * * [misc]progress:  [ 9 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (* (sqrt (fma 2.0 (hypot re im) (* re 2.0))) (sqrt (fma 2.0 (hypot re im) (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (sqrt (fma 2.0 (hypot re im) (* 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 (* re 2.0)))
* [exit]simplify:  Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0)))
* [enter]simplify:  Simplifying (sqrt (fma 2.0 (hypot re im) (* 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 (* re 2.0)))
* [exit]simplify:  Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 10 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (* 1 (fma 2.0 (hypot re im) (* re 2.0))))))))>
* * * * [misc]progress:  [ 11 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (log1p (expm1 (fma 2.0 (hypot re im) (* re 2.0)))))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (expm1 (fma 2.0 (hypot re im) (* 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 (expm1 (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (expm1 (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 12 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (expm1 (log1p (fma 2.0 (hypot re im) (* re 2.0)))))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (log1p (fma 2.0 (hypot re im) (* 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 (log1p (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (log1p (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 13 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (+ (* 2.0 (hypot re im)) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* 2.0 (hypot re im))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (hypot re im) 2.0)
* [exit]simplify:  Simplified to (* (hypot re im) 2.0)
* * * * [misc]progress:  [ 14 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (pow (fma 2.0 (hypot re im) (* re 2.0)) 1))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* * * * [misc]progress:  [ 15 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (exp (log (fma 2.0 (hypot re im) (* re 2.0)))))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (log (fma 2.0 (hypot re im) (* 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 (23 enodes)
* [exit]simplify:  Simplified to (log (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (log (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 16 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (log (exp (fma 2.0 (hypot re im) (* re 2.0)))))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (exp (fma 2.0 (hypot re im) (* re 2.0)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (exp (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (exp (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 17 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* [enter]simplify:  Simplifying (cbrt (fma 2.0 (hypot re im) (* 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 (cbrt (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (cbrt (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 18 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (cbrt (* (* (fma 2.0 (hypot re im) (* re 2.0)) (fma 2.0 (hypot re im) (* re 2.0))) (fma 2.0 (hypot re im) (* re 2.0)))))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* (* (fma 2.0 (hypot re im) (* re 2.0)) (fma 2.0 (hypot re im) (* re 2.0))) (fma 2.0 (hypot re im) (* re 2.0)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* [exit]simplify:  Simplified to (pow (fma (hypot re im) 2.0 (* re 2.0)) 3)
* [exit]simplify:  Simplified to (pow (fma (hypot re im) 2.0 (* re 2.0)) 3)
* * * * [misc]progress:  [ 19 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (* (sqrt (fma 2.0 (hypot re im) (* re 2.0))) (sqrt (fma 2.0 (hypot re im) (* re 2.0)))))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (sqrt (fma 2.0 (hypot re im) (* 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 (* re 2.0)))
* [exit]simplify:  Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0)))
* [enter]simplify:  Simplifying (sqrt (fma 2.0 (hypot re im) (* 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 (* re 2.0)))
* [exit]simplify:  Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 20 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (* 1 (fma 2.0 (hypot re im) (* re 2.0))))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* * * * [misc]progress:  [ 21 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (log1p (expm1 (fma 2.0 (hypot re im) (* re 2.0))))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (expm1 (fma 2.0 (hypot re im) (* 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 (expm1 (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (expm1 (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 22 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (expm1 (log1p (fma 2.0 (hypot re im) (* re 2.0))))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (log1p (fma 2.0 (hypot re im) (* 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 (log1p (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (log1p (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 23 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (+ (* 2.0 (hypot re im)) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* 2.0 (hypot re im))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (hypot re im) 2.0)
* [exit]simplify:  Simplified to (* (hypot re im) 2.0)
* * * * [misc]progress:  [ 24 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (pow (fma 2.0 (hypot re im) (* re 2.0)) 1)) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* * * * [misc]progress:  [ 25 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (exp (log (fma 2.0 (hypot re im) (* re 2.0))))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (log (fma 2.0 (hypot re im) (* 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 (23 enodes)
* [exit]simplify:  Simplified to (log (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (log (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 26 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (log (exp (fma 2.0 (hypot re im) (* re 2.0))))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (exp (fma 2.0 (hypot re im) (* re 2.0)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (exp (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (exp (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 27 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0))))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* [enter]simplify:  Simplifying (cbrt (fma 2.0 (hypot re im) (* 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 (cbrt (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (cbrt (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 28 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (cbrt (* (* (fma 2.0 (hypot re im) (* re 2.0)) (fma 2.0 (hypot re im) (* re 2.0))) (fma 2.0 (hypot re im) (* re 2.0))))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* (* (fma 2.0 (hypot re im) (* re 2.0)) (fma 2.0 (hypot re im) (* re 2.0))) (fma 2.0 (hypot re im) (* re 2.0)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* [exit]simplify:  Simplified to (pow (fma (hypot re im) 2.0 (* re 2.0)) 3)
* [exit]simplify:  Simplified to (pow (fma (hypot re im) 2.0 (* re 2.0)) 3)
* * * * [misc]progress:  [ 29 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (* (sqrt (fma 2.0 (hypot re im) (* re 2.0))) (sqrt (fma 2.0 (hypot re im) (* re 2.0))))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (sqrt (fma 2.0 (hypot re im) (* 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 (* re 2.0)))
* [exit]simplify:  Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0)))
* [enter]simplify:  Simplifying (sqrt (fma 2.0 (hypot re im) (* 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 (* re 2.0)))
* [exit]simplify:  Simplified to (sqrt (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 30 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (* 1 (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* * * * [misc]progress:  [ 31 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (log1p (expm1 (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (expm1 (cbrt (fma 2.0 (hypot re im) (* 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 (expm1 (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (expm1 (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 32 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (expm1 (log1p (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (log1p (cbrt (fma 2.0 (hypot re im) (* 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 (log1p (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (log1p (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 33 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (pow (fma 2.0 (hypot re im) (* re 2.0)) 1/3)))))>
* * * * [misc]progress:  [ 34 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (pow (cbrt (fma 2.0 (hypot re im) (* re 2.0))) 1)))))>
* * * * [misc]progress:  [ 35 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (exp (log (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (log (cbrt (fma 2.0 (hypot re im) (* 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 (log (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (log (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 36 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (log (exp (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (exp (cbrt (fma 2.0 (hypot re im) (* 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 (exp (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (exp (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 37 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (* (cbrt (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0))))) (cbrt (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* 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 (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))
* [exit]simplify:  Simplified to (cbrt (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))
* [enter]simplify:  Simplifying (cbrt (cbrt (fma 2.0 (hypot re im) (* 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 (cbrt (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (cbrt (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 38 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (* (cbrt (sqrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (sqrt (fma 2.0 (hypot re im) (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (fma 2.0 (hypot re im) (* 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 (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [enter]simplify:  Simplifying (cbrt (sqrt (fma 2.0 (hypot re im) (* 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 (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (cbrt (sqrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 39 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (* (cbrt 1) (cbrt (fma 2.0 (hypot re im) (* re 2.0))))))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cbrt 1)
* [exit]simplify:  Simplified to (cbrt 1)
* [enter]simplify:  Simplifying (cbrt (fma 2.0 (hypot re im) (* 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 (cbrt (fma (hypot re im) 2.0 (* re 2.0)))
* [exit]simplify:  Simplified to (cbrt (fma (hypot re im) 2.0 (* re 2.0)))
* * * * [misc]progress:  [ 40 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (* (* (cbrt (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (cbrt (fma 2.0 (hypot re im) (* re 2.0))))) (cbrt (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (* (cbrt (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (cbrt (fma 2.0 (hypot re im) (* 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 (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))
* [exit]simplify:  Simplified to (* (cbrt (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))
* [enter]simplify:  Simplifying (cbrt (cbrt (fma 2.0 (hypot re im) (* 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 (cbrt (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (cbrt (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 41 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (fma (hypot re im) 2.0 (* re 2.0))
* [exit]simplify:  Simplified to (fma (hypot re im) 2.0 (* re 2.0))
* * * * [misc]progress:  [ 42 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (* (sqrt (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (sqrt (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (fma 2.0 (hypot re im) (* 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 (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (sqrt (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* [enter]simplify:  Simplifying (sqrt (cbrt (fma 2.0 (hypot re im) (* 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 (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* [exit]simplify:  Simplified to (sqrt (cbrt (fma (hypot re im) 2.0 (* re 2.0))))
* * * * [misc]progress:  [ 43 / 55 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (* 1 (cbrt (fma 2.0 (hypot re im) (* re 2.0))))))))>
* * * * [misc]progress:  [ 44 / 55 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (+ (* 2.0 re) (* 2.0 im)))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (+ (* 2.0 re) (* 2.0 im))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* [exit]simplify:  Simplified to (* (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))))) 0.5)
* * * * [misc]progress:  [ 45 / 55 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (* 4.0 re))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (* 4.0 re)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (* 0.5 (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:  [ 46 / 55 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt 0)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt 0))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (* 0.5 (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 / 55 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (+ (* 2.0 re) (* 2.0 im)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (+ (* 2.0 re) (* 2.0 im)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (* (+ re im) 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0))))) 0.5)
* * * * [misc]progress:  [ 48 / 55 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (* 4.0 re))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (* 4.0 re))) (cbrt (fma 2.0 (hypot re im) (* re 2.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (* (cbrt (* re 4.0)) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))
* * * * [misc]progress:  [ 49 / 55 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt 0)) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt 0)) (cbrt (fma 2.0 (hypot re im) (* re 2.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (* 0.5 (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:  [ 50 / 55 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* (* (cbrt (+ (* 2.0 re) (* 2.0 im))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* (* (cbrt (+ (* 2.0 re) (* 2.0 im))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))) (cbrt (* (+ im re) 2.0)))) 0.5)
* * * * [misc]progress:  [ 51 / 55 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* (* (cbrt (* 4.0 re)) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* (* (cbrt (* 4.0 re)) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* (* (cbrt (* re 4.0)) (cbrt (fma (hypot re im) 2.0 (* 2.0 re)))) (cbrt (fma (hypot re im) 2.0 (* 2.0 re))))))
* * * * [misc]progress:  [ 52 / 55 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* (* (cbrt 0) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* (* (cbrt 0) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt 0)))))
* * * * [misc]progress:  [ 53 / 55 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (+ (* 0.05555555555555555 (* (pow re 2) (exp (* 1/3 (- (log 2.0) (* 5 (log im))))))) (+ (exp (* 1/3 (+ (log 2.0) (log im)))) (* 0.3333333333333333 (* re (exp (* 1/3 (- (log 2.0) (* 2 (log im)))))))))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (+ (* 0.05555555555555555 (* (pow re 2) (exp (* 1/3 (- (log 2.0) (* 5 (log im))))))) (+ (exp (* 1/3 (+ (log 2.0) (log im)))) (* 0.3333333333333333 (* re (exp (* 1/3 (- (log 2.0) (* 2 (log im))))))))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (84 enodes)
* * [misc]simplify:  iters left: 4 (199 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* (fma 0.3333333333333333 (* (pow (exp 1/3) (fma (log im) (- 2) (log 2.0))) re) (fma (pow (exp 1/3) (fma (log im) (- 5) (log 2.0))) (* (* 0.05555555555555555 re) re) (* (pow 2.0 1/3) (pow im 1/3)))) (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))))
* * * * [misc]progress:  [ 54 / 55 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (exp (* 1/3 (- (log 4.0) (log (/ 1 re)))))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (exp (* 1/3 (- (log 4.0) (log (/ 1 re))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (136 enodes)
* * [misc]simplify:  iters left: 1 (312 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (cbrt (* re 4.0)) (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))) 0.5)
* * * * [misc]progress:  [ 55 / 55 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (exp (* 1/3 (- (+ (log (/ -1 re)) (log 1.0)) (* 2 (log (/ -1 im))))))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (exp (* 1/3 (- (+ (log (/ -1 re)) (log 1.0)) (* 2 (log (/ -1 im)))))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (217 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (exp (fma 1/3 (fma (log (/ -1 im)) (- 2) (log 1.0)) (* 1/3 (log (/ -1 re))))) (* (cbrt (fma (hypot re im) 2.0 (* re 2.0))) (cbrt (fma (hypot re im) 2.0 (* re 2.0)))))) 0.5)
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
"ALT DATA: "{"all-alts":["#<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>","#<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (* re 2.0)))))>","#<alt-delta (λ (re im) (* 0.5 (sqrt (expm1 (log1p (fma 2.0 (hypot re im) (* re 2.0)))))))>","#<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))))>","#<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (exp (log (hypot re im))) (* re 2.0)))))>","#<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (hypot re im) (* re 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8314001593e+222,7.17939675829627e-158],3,0],[[5.706174991628051e-294,-8.833333360285963e+123],0,0],[[1.6543220134558954e+211,-2.0075913201092103e-110],1,0],[[-5.799494962865382e+179,-1.9221933359897497e-164],0,59.48768274756906]],"picked":"(λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))))"}* * * * [misc]pick:  Picked  #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1 2 2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re 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 (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]taylor:  Taking taylor expansion of (* re 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 (* (sqrt re) (sqrt re)) into re
* [misc]backup-simplify:  Simplify (* 2.0 re) 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 (+ (* (sqrt re) 0) (* 0 (sqrt re))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 re)) 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 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (* re 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 (* (sqrt im) (sqrt im)) into im
* [misc]backup-simplify:  Simplify (* 2.0 im) 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 (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 im)) 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 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (* re 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 (* (sqrt im) (sqrt im)) into im
* [misc]backup-simplify:  Simplify (* 2.0 im) 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 (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 im)) 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 (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 im))) (+ (* 0 0) (* 0 im))) 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 (exp (* 2 (log (sqrt 2.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt 2.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2.0)) into (log (sqrt 2.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt 2.0))) into (* 2 (log (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 2)
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2.0) 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (sqrt 2.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2.0) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2.0) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))
* [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 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))
* [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 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))) (+ (* 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))) (* 0 0))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0)))))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (/ 1 (sqrt 2.0)))) (* 1 re)))) into (- (+ (* +nan.0 (/ re (sqrt 2.0))) (- (+ (* +nan.0 (/ (pow re 2) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (/ (pow re 2) (sqrt 2.0))))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma 2.0 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (* (/ 1 re) 2.0))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2.0 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (* (/ 1 re) 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 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 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* (/ 1 re) 2.0) into (/ 2.0 re)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (/ 2.0 re)) into (- (* 2.0 (/ 1 re)) +nan.0)
* [misc]backup-simplify:  Simplify (sqrt (- (* 2.0 (/ 1 re)) +nan.0)) into (sqrt (- (* 2.0 (/ 1 re)) +nan.0))
* [misc]backup-simplify:  Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))
* [misc]backup-simplify:  Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0)) 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 re) 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (- +nan.0) 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt (- (* 2.0 (/ 1 re)) +nan.0)))) into (* +nan.0 (sqrt (/ 1 (- (* 2.0 (/ 1 re)) +nan.0))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2.0 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (* (/ 1 re) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) 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 2.0 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (* (/ 1 re) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.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 (+ (- +nan.0) 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0)
* [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 (+ (- +nan.0) 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- (- +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma 2.0 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (* (/ 1 (- re)) 2.0))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2.0 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (* (/ 1 (- re)) 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- 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 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* (/ -1 re) 2.0) into (/ -2.0 re)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (/ -2.0 re)) into (- (+ (* 2.0 (/ 1 re)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 2.0 (/ 1 re)) (- +nan.0)))) into (sqrt (- (+ (* 2.0 (/ 1 re)) (- +nan.0))))
* [misc]backup-simplify:  Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))
* [misc]backup-simplify:  Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0)) 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 re) 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (- +nan.0) 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt (- (+ (* 2.0 (/ 1 re)) (- +nan.0)))))) into (/ +nan.0 (sqrt (- (+ (* 2.0 (/ 1 re)) (- +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2.0 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (* (/ 1 (- re)) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (* -1 2.0) into -2.0
* [misc]backup-simplify:  Simplify (+ 0 -2.0) 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 2.0 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (* (/ 1 (- re)) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (* -1 2.0) into -2.0
* [misc]backup-simplify:  Simplify (+ 0 -2.0) into (- 2.0)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 2.0) (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (- +nan.0) 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (- +nan.0) 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- (- +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (pow (* 1 (/ 1 (- re))) 2)) (+ (* +nan.0 (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re 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 (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]taylor:  Taking taylor expansion of (* re 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 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (* re 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 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (* re 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 (* (sqrt im) (sqrt im)) into im
* [misc]backup-simplify:  Simplify (* 2.0 im) 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 (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 im)) 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 (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 im))) (+ (* 0 0) (* 0 im))) 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 (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 im))) (+ (* 0 0) (* 0 im)))) 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 2.0 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (* (/ 1 re) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 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 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 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 2.0 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 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 2.0 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) 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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (* 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 (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.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 (+ (- +nan.0) 0) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0)
* [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 (+ (- +nan.0) 0) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.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 (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +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))) (- +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]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) 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 (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 im)) (/ 1 re)) 2)) (* 2.0 (* 1 (/ 1 (/ 1 re)))))) into (- (* 2.0 re) (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))
* [misc]approximate:  Taking taylor expansion of (fma 2.0 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (* (/ 1 (- re)) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- 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 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 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 2.0 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 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 2.0 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) 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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (* -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]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (- +nan.0) 0) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (- +nan.0) 0) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- 2.0) into (- 2.0)
* [misc]backup-simplify:  Simplify (- 2.0) into (- 2.0)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 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 (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +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))) (- +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]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) 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 (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 (- im))) (/ 1 (- re))) 2)) (* (- 2.0) (* 1 (/ 1 (/ 1 (- re))))))) into (- (* 2.0 re) (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1 2)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt im) (sqrt im)) into im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* im 1)) into im
* [misc]approximate:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +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))) (- +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]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) 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 (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
* [misc]backup-simplify:  Simplify (/ (- (/ -1/8 (pow im 4)) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))))) (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
* [misc]backup-simplify:  Simplify (/ (- (/ -1/8 (pow im 4)) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))))) (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))) (+ (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (+ (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0))) 0)))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +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))) (- +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]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) 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 (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (* (pow (/ 1 im) -2) (pow (/ 1 re) 3))) (+ (- +nan.0) (* (- +nan.0) (pow (* (/ 1 (/ 1 im)) (/ 1 re)) 2)))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- (* +nan.0 (/ (pow im 2) (pow re 3))))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in im
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +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))) (- +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]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) 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 (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
* [misc]backup-simplify:  Simplify (/ (- (/ -1/8 (pow im 4)) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))))) (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
* [misc]backup-simplify:  Simplify (/ (- (/ -1/8 (pow im 4)) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))))) (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))) (+ (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (+ (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0))) 0)))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +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))) (- +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]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) 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 (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (* (pow (/ 1 (- im)) -2) (pow (/ 1 (- re)) 3))) (+ (- +nan.0) (* (- +nan.0) (pow (* (/ 1 (/ 1 (- im))) (/ 1 (- re))) 2)))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- (* +nan.0 (/ (pow im 2) (pow re 3))))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1 2 2 1)
* [misc]approximate:  Taking taylor expansion of (hypot re im) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 im) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* im 1)) into im
* [misc]approximate:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
* [misc]approximate:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (log1p (expm1 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (expm1 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (expm1 (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (expm1 (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* * * * [misc]progress:  [ 2 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (expm1 (log1p (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (log1p (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (log1p (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (log1p (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* * * * [misc]progress:  [ 3 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (pow (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)) 1/2)))>
* * * * [misc]progress:  [ 4 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (pow (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))) 1)))>
* * * * [misc]progress:  [ 5 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (exp (log (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (log (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (log (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (log (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* * * * [misc]progress:  [ 6 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (log (exp (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (exp (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (exp (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* * * * [misc]progress:  [ 7 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* (* (cbrt (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))) (cbrt (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))))) (cbrt (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))) (cbrt (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (sqrt (fma 2.0 (hypot re im) (* re 2.0)))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (sqrt (fma 2.0 (hypot re im) (* re 2.0)))))
* [enter]simplify:  Simplifying (cbrt (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (cbrt (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* * * * [misc]progress:  [ 8 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cbrt (* (* (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))) (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))) (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))) (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))) (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma 2.0 (hypot re im) (* re 2.0))) (fma 2.0 (hypot re im) (* re 2.0)))
* [exit]simplify:  Simplified to (* (sqrt (fma 2.0 (hypot re im) (* re 2.0))) (fma 2.0 (hypot re im) (* re 2.0)))
* * * * [misc]progress:  [ 9 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* (sqrt (* (cbrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))) (cbrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))))) (sqrt (cbrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))) (cbrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (fabs (cbrt (fma 2.0 (hypot re im) (* re 2.0))))
* [enter]simplify:  Simplifying (sqrt (cbrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (sqrt (cbrt (fma 2.0 (hypot re im) (* re 2.0))))
* * * * [misc]progress:  [ 10 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* (sqrt (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))) (sqrt (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (sqrt (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* [enter]simplify:  Simplifying (sqrt (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (sqrt (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* * * * [misc]progress:  [ 11 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* (sqrt 1) (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (sqrt (fma 2.0 (hypot re im) (* re 2.0)))
* [exit]simplify:  Simplified to (sqrt (fma 2.0 (hypot re im) (* re 2.0)))
* * * * [misc]progress:  [ 12 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* (sqrt (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))) (sqrt (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (sqrt (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* [enter]simplify:  Simplifying (sqrt (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (sqrt (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* * * * [misc]progress:  [ 13 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (fabs (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))))))>
* * * * [misc]progress:  [ 14 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* 1 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))))))>
* * * * [misc]progress:  [ 15 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (log1p (expm1 (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (expm1 (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (expm1 (fma 2.0 (hypot re im) (* re 2.0)))
* [exit]simplify:  Simplified to (expm1 (fma 2.0 (hypot re im) (* re 2.0)))
* * * * [misc]progress:  [ 16 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (expm1 (log1p (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (log1p (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (log1p (fma 2.0 (hypot re im) (* re 2.0)))
* [exit]simplify:  Simplified to (log1p (fma 2.0 (hypot re im) (* re 2.0)))
* * * * [misc]progress:  [ 17 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (+ (* 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (* (hypot re im) 2.0)
* [exit]simplify:  Simplified to (* (hypot re im) 2.0)
* * * * [misc]progress:  [ 18 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (pow (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)) 1))))>
* * * * [misc]progress:  [ 19 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (exp (log (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (log (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* [exit]simplify:  Simplified to (log (fma 2.0 (hypot re im) (* re 2.0)))
* [exit]simplify:  Simplified to (log (fma 2.0 (hypot re im) (* re 2.0)))
* * * * [misc]progress:  [ 20 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (log (exp (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (exp (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (exp (fma 2.0 (hypot re im) (* re 2.0)))
* [exit]simplify:  Simplified to (exp (fma 2.0 (hypot re im) (* re 2.0)))
* * * * [misc]progress:  [ 21 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))) (cbrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))) (cbrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* (cbrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))) (cbrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0))))
* [enter]simplify:  Simplifying (cbrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (cbrt (fma 2.0 (hypot re im) (* re 2.0)))
* [exit]simplify:  Simplified to (cbrt (fma 2.0 (hypot re im) (* re 2.0)))
* * * * [misc]progress:  [ 22 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (cbrt (* (* (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)) (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))) (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* (* (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)) (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))) (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* [exit]simplify:  Simplified to (pow (fma 2.0 (hypot re im) (* re 2.0)) 3)
* [exit]simplify:  Simplified to (pow (fma 2.0 (hypot re im) (* re 2.0)) 3)
* * * * [misc]progress:  [ 23 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))) (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (sqrt (fma 2.0 (hypot re im) (* re 2.0)))
* [exit]simplify:  Simplified to (sqrt (fma 2.0 (hypot re im) (* re 2.0)))
* [enter]simplify:  Simplifying (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (sqrt (fma 2.0 (hypot re im) (* re 2.0)))
* [exit]simplify:  Simplified to (sqrt (fma 2.0 (hypot re im) (* re 2.0)))
* * * * [misc]progress:  [ 24 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 1 (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0))))))>
* * * * [misc]progress:  [ 25 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (log1p (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (expm1 (hypot re im))
* [exit]simplify:  Simplified to (expm1 (hypot re im))
* * * * [misc]progress:  [ 26 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (expm1 (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (log1p (hypot re im))
* [exit]simplify:  Simplified to (log1p (hypot re im))
* * * * [misc]progress:  [ 27 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (pow (hypot re im) (+ 1/2 1/2)) (* re 2.0)))))>
* [enter]simplify:  Simplifying (+ 1/2 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (+ 1/2 1/2)
* [exit]simplify:  Simplified to (+ 1/2 1/2)
* * * * [misc]progress:  [ 28 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (pow (sqrt (hypot re im)) (+ 1 1)) (* re 2.0)))))>
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ 1 1)
* [exit]simplify:  Simplified to (+ 1 1)
* * * * [misc]progress:  [ 29 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (pow (* (hypot re im) (hypot re im)) 1/2) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (hypot re im) (hypot re im))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (* (hypot re im) (hypot re im))
* [exit]simplify:  Simplified to (* (hypot re im) (hypot re im))
* * * * [misc]progress:  [ 30 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 1) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot re im)) (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (hypot re im)
* [exit]simplify:  Simplified to (hypot re im)
* * * * [misc]progress:  [ 31 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (pow (sqrt (hypot re im)) 2) (* re 2.0)))))>
* * * * [misc]progress:  [ 32 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (pow (sqrt (hypot re im)) (+ 1 1)) (* re 2.0)))))>
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ 1 1)
* [exit]simplify:  Simplified to (+ 1 1)
* * * * [misc]progress:  [ 33 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 1) (* re 2.0)))))>
* * * * [misc]progress:  [ 34 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (exp (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im))))
* [exit]simplify:  Simplified to (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im))))
* * * * [misc]progress:  [ 35 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (exp (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (log (hypot re im))
* [exit]simplify:  Simplified to (log (hypot re im))
* * * * [misc]progress:  [ 36 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (log (exp (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (exp (* (sqrt (hypot re im)) (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (exp (hypot re im))
* [exit]simplify:  Simplified to (exp (hypot re im))
* * * * [misc]progress:  [ 37 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (cbrt (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (36 enodes)
* [exit]simplify:  Simplified to (pow (hypot re im) 3)
* [exit]simplify:  Simplified to (pow (hypot re im) 3)
* * * * [misc]progress:  [ 38 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* [exit]simplify:  Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im)))
* [exit]simplify:  Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im)))
* [enter]simplify:  Simplifying (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (cbrt (hypot re im))
* [exit]simplify:  Simplified to (cbrt (hypot re im))
* * * * [misc]progress:  [ 39 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (cbrt (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (pow (hypot re im) 3)
* [exit]simplify:  Simplified to (pow (hypot re im) 3)
* * * * [misc]progress:  [ 40 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (sqrt (* (hypot re im) (hypot re im))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (hypot re im) (hypot re im))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (* (hypot re im) (hypot re im))
* [exit]simplify:  Simplified to (* (hypot re im) (hypot re im))
* * * * [misc]progress:  [ 41 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [enter]simplify:  Simplifying (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* * * * [misc]progress:  [ 42 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (hypot re im) (* re 2.0)))))>
* * * * [misc]progress:  [ 43 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re 2.0)))))>
* * * * [misc]progress:  [ 44 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (cbrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))))
* * * * [misc]progress:  [ 45 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im)))
* [exit]simplify:  Simplified to (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im)))
* * * * [misc]progress:  [ 46 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
* * * * [misc]progress:  [ 47 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt 1)) (sqrt (hypot re im))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot re im)) (sqrt 1))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot re im)) (sqrt 1))
* [exit]simplify:  Simplified to (* (sqrt (hypot re im)) (sqrt 1))
* * * * [misc]progress:  [ 48 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
* * * * [misc]progress:  [ 49 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) 1) (sqrt (hypot re im))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot re im)) 1)
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* * * * [misc]progress:  [ 50 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))
* * * * [misc]progress:  [ 51 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot re im)) (sqrt (cbrt (hypot re im))))
* [exit]simplify:  Simplified to (* (sqrt (hypot re im)) (sqrt (cbrt (hypot re im))))
* * * * [misc]progress:  [ 52 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
* * * * [misc]progress:  [ 53 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot re im)) (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (hypot re im)
* [exit]simplify:  Simplified to (hypot re im)
* * * * [misc]progress:  [ 54 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
* * * * [misc]progress:  [ 55 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot re im)) (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (hypot re im)
* [exit]simplify:  Simplified to (hypot re im)
* * * * [misc]progress:  [ 56 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* re 2.0)))))>
* * * * [misc]progress:  [ 57 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (log1p (expm1 (hypot re im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (expm1 (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (expm1 (hypot re im))
* [exit]simplify:  Simplified to (expm1 (hypot re im))
* * * * [misc]progress:  [ 58 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (expm1 (log1p (hypot re im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (log1p (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (log1p (hypot re im))
* [exit]simplify:  Simplified to (log1p (hypot re im))
* * * * [misc]progress:  [ 59 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (sqrt (+ (* re re) (* im im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (+ (* re re) (* im im))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (fma im im (* re re))
* [exit]simplify:  Simplified to (fma im im (* re re))
* * * * [misc]progress:  [ 60 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (pow (hypot re im) 1))) (* re 2.0)))))>
* * * * [misc]progress:  [ 61 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (exp (log (hypot re im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (log (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (log (hypot re im))
* [exit]simplify:  Simplified to (log (hypot re im))
* * * * [misc]progress:  [ 62 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (log (exp (hypot re im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (exp (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (exp (hypot re im))
* [exit]simplify:  Simplified to (exp (hypot re im))
* * * * [misc]progress:  [ 63 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (cbrt (hypot re im)) (cbrt (hypot re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im)))
* [exit]simplify:  Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im)))
* [enter]simplify:  Simplifying (cbrt (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (hypot re im))
* [exit]simplify:  Simplified to (cbrt (hypot re im))
* * * * [misc]progress:  [ 64 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (cbrt (* (* (hypot re im) (hypot re im)) (hypot re im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (* (hypot re im) (hypot re im)) (hypot re im))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (pow (hypot re im) 3)
* [exit]simplify:  Simplified to (pow (hypot re im) 3)
* * * * [misc]progress:  [ 65 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (sqrt (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [enter]simplify:  Simplifying (sqrt (hypot re im))
* * [misc]simplify:  iters left: 2 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* * * * [misc]progress:  [ 66 / 78 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im)))) (* re 2.0)))))>
* * * * [misc]progress:  [ 67 / 78 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (- (+ (* +nan.0 (/ re (sqrt 2.0))) (- (+ (* +nan.0 (/ (pow re 2) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (/ (pow re 2) (sqrt 2.0))))))))))))>
* [enter]simplify:  Simplifying (* 0.5 (- (+ (* +nan.0 (/ re (sqrt 2.0))) (- (+ (* +nan.0 (/ (pow re 2) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (/ (pow re 2) (sqrt 2.0)))))))))))
* * * * [misc]progress:  [ 68 / 78 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))))))>
* [enter]simplify:  Simplifying (* 0.5 (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))))
* * * * [misc]progress:  [ 69 / 78 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))))))>
* [enter]simplify:  Simplifying (* 0.5 (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))))
* * * * [misc]progress:  [ 70 / 78 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (+ (* 2.0 re) (* 2.0 im)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (+ (* 2.0 re) (* 2.0 im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (+ im re) 2.0)) 0.5)
* * * * [misc]progress:  [ 71 / 78 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (- (* 2.0 re) (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (- (* 2.0 re) (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
* * * * [misc]progress:  [ 72 / 78 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (- (* 2.0 re) (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (- (* 2.0 re) (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))))
* * * * [misc]progress:  [ 73 / 78 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma 2.0 im (* re 2.0)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma 2.0 im (* re 2.0))))
* * [misc]simplify:  iters left: 6 (8 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 (* (+ im re) 2.0)) 0.5)
* * * * [misc]progress:  [ 74 / 78 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma 2.0 (- (+ +nan.0 (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- (* +nan.0 (/ (pow im 2) (pow re 3)))))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma 2.0 (- (+ +nan.0 (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- (* +nan.0 (/ (pow im 2) (pow re 3)))))))) (* re 2.0))))
* * * * [misc]progress:  [ 75 / 78 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma 2.0 (- (+ +nan.0 (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- (* +nan.0 (/ (pow im 2) (pow re 3)))))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma 2.0 (- (+ +nan.0 (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- (* +nan.0 (/ (pow im 2) (pow re 3)))))))) (* re 2.0))))
* * * * [misc]progress:  [ 76 / 78 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt im)) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt im)) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (* (sqrt im) 2.0) (sqrt (hypot re im)) (* re 2.0))))
* * * * [misc]progress:  [ 77 / 78 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt re)) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt re)) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (fma (* (sqrt re) 2.0) (sqrt (hypot re im)) (* re 2.0))))
* * * * [misc]progress:  [ 78 / 78 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (* -1 re))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (* -1 re))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* [exit]simplify:  Simplified to (* 0.5 (sqrt (* 2.0 (fma (sqrt (- re)) (sqrt (hypot re im)) re))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
"ALT DATA: "{"all-alts":["#<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) (* re 2.0)))))>","#<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))>","#<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (* re 2.0)))))>","#<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (exp (log (hypot re im))))) (* re 2.0)))))>","#<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* re 2.0)))))>","#<alt-delta (λ (re im) (* 0.5 (sqrt (expm1 (log1p (fma 2.0 (hypot re im) (* re 2.0)))))))>","#<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re 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(re im) (* 0.5 (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))"}* * * * [misc]pick:  Picked  #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1 2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re 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 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt re)) into (pow re 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt re)) into (pow re 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt re)))) into 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 (* (sqrt re) (pow re 1/4)) into (pow (pow re 3) 1/4)
* [misc]backup-simplify:  Simplify (* (pow (pow re 3) 1/4) (pow re 1/4)) into re
* [misc]backup-simplify:  Simplify (* 2.0 re) 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 (+ (* (sqrt re) 0) (* 0 (pow re 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow re 3) 1/4) 0) (* 0 (pow re 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 re)) 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 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt im)) into (pow im 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt im)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt im)) into (pow im 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt im)))) into 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 (* (sqrt im) (pow im 1/4)) into (pow (pow im 3) 1/4)
* [misc]backup-simplify:  Simplify (* (pow (pow im 3) 1/4) (pow im 1/4)) into im
* [misc]backup-simplify:  Simplify (* 2.0 im) 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 (+ (* (sqrt im) 0) (* 0 (pow im 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow im 3) 1/4) 0) (* 0 (pow im 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 im)) 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 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt im)) into (pow im 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt im)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt im)) into (pow im 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt im)))) into 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 (* (sqrt im) (pow im 1/4)) into (pow (pow im 3) 1/4)
* [misc]backup-simplify:  Simplify (* (pow (pow im 3) 1/4) (pow im 1/4)) into im
* [misc]backup-simplify:  Simplify (* 2.0 im) 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 (+ (* (sqrt im) 0) (* 0 (pow im 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow im 3) 1/4) 0) (* 0 (pow im 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 im)) 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 (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (sqrt (/ 1 (pow im 3)))) (pow 0 2) (+)) (* 2 (pow im 1/4))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (sqrt (/ 1 (pow im 3)))) (pow 0 2) (+)) (* 2 (pow im 1/4))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (pow im 1/4)))) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
* [misc]backup-simplify:  Simplify (+ (* (pow (pow im 3) 1/4) (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* 0 0) (* (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) (pow im 1/4)))) into (* 1/2 (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 im))) (+ (* 0 0) (* 0 im))) 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 (exp (* 2 (log (sqrt 2.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt 2.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (log (sqrt 2.0)) into (log (sqrt 2.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt 2.0))) into (* 2 (log (sqrt 2.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 2)
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow (sqrt 2.0) 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (sqrt 2.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2.0) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2.0) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt 2.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))
* [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 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))
* [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 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))) (+ (* 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))) (* 0 0))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 2.0) 3))) (- (* +nan.0 (/ 1 (sqrt 2.0)))))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (/ 1 (sqrt 2.0)))) (* 1 re)))) into (- (+ (* +nan.0 (/ re (sqrt 2.0))) (- (+ (* +nan.0 (/ (pow re 2) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (/ (pow re 2) (sqrt 2.0))))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma 2.0 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (* (/ 1 re) 2.0))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2.0 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (* (/ 1 re) 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 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 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (* (/ 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 (* 0 (sqrt +nan.0)) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt +nan.0)) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* +nan.0 (sqrt +nan.0))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* (- (* +nan.0 (sqrt +nan.0))) (sqrt +nan.0))) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (* +nan.0 (pow (sqrt +nan.0) 2)))) (* 0 0)) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 re) 2.0) into (/ 2.0 re)
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (pow (sqrt +nan.0) 2))) (/ 2.0 re)) into (- (* 2.0 (/ 1 re)) (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify (sqrt (- (* 2.0 (/ 1 re)) (* +nan.0 (pow (sqrt +nan.0) 2)))) into (sqrt (- (* 2.0 (/ 1 re)) (* +nan.0 (pow (sqrt +nan.0) 2))))
* [misc]backup-simplify:  Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (- (* 1/2 (/ 1 (pow re 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 re 2))) (- +nan.0)))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (- (* 1/2 (/ 1 (pow re 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 re 2))) (- +nan.0)))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* +nan.0 (/ +nan.0 (sqrt +nan.0))) (* +nan.0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* (- (* +nan.0 (sqrt +nan.0))) (/ +nan.0 (sqrt +nan.0))) (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))) (+ (* 0 (- (* +nan.0 (pow (sqrt +nan.0) 2)))) (* 0 0))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 re) 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) 0) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) (* 2 (sqrt (- (* 2.0 (/ 1 re)) (* +nan.0 (pow (sqrt +nan.0) 2)))))) into (* -1/2 (* (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)) (sqrt (/ 1 (- (* 2.0 (/ 1 re)) (* +nan.0 (pow (sqrt +nan.0) 2)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2.0 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (* (/ 1 re) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (* (/ 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 (* 0 (sqrt +nan.0)) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt +nan.0)) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) 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 2.0 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (* (/ 1 re) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (* (/ 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 (* 0 (sqrt +nan.0)) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt +nan.0)) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (* 1 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* +nan.0 (sqrt +nan.0))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* (- (* +nan.0 (sqrt +nan.0))) (sqrt +nan.0))) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (* +nan.0 (pow (sqrt +nan.0) 2)))) (* 0 0)) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (pow (sqrt +nan.0) 2))) 0) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify (/ (- (- (* +nan.0 (pow (sqrt +nan.0) 2))) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 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 (pow (sqrt +nan.0) 2)) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (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 (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [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 (pow (sqrt +nan.0) 2)) into (* +nan.0 (pow (sqrt +nan.0) 2))
* [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 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (* +nan.0 (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))) into (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) into (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 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 (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* +nan.0 (/ +nan.0 (sqrt +nan.0))) (* +nan.0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* (- (* +nan.0 (sqrt +nan.0))) (/ +nan.0 (sqrt +nan.0))) (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))) (+ (* 0 (- (* +nan.0 (pow (sqrt +nan.0) 2)))) (* 0 0))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [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 (+ (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) 0) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 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 (pow (sqrt +nan.0) 2)) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (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 (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [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 (pow (sqrt +nan.0) 2)) into (* +nan.0 (pow (sqrt +nan.0) 2))
* [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 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (* +nan.0 (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))) into (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) into (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) re)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow re 2))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma 2.0 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (/ 1 (- re)) 2.0))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2.0 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (/ 1 (- re)) 2.0))) in im
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- 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 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (* (/ 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 (* 0 (sqrt +nan.0)) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt +nan.0)) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* +nan.0 (sqrt +nan.0))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* (- (* +nan.0 (sqrt +nan.0))) (sqrt +nan.0))) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (* +nan.0 (pow (sqrt +nan.0) 2)))) (* 0 0)) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify (* (/ -1 re) 2.0) into (/ -2.0 re)
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (pow (sqrt +nan.0) 2))) (/ -2.0 re)) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (* 2.0 (/ 1 re))))
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (* 2.0 (/ 1 re))))) into (sqrt (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (* 2.0 (/ 1 re)))))
* [misc]backup-simplify:  Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (- (* 1/2 (/ 1 (pow re 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 re 2))) (- +nan.0)))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (- (* 1/2 (/ 1 (pow re 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 re 2))) (- +nan.0)))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* +nan.0 (/ +nan.0 (sqrt +nan.0))) (* +nan.0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* (- (* +nan.0 (sqrt +nan.0))) (/ +nan.0 (sqrt +nan.0))) (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))) (+ (* 0 (- (* +nan.0 (pow (sqrt +nan.0) 2)))) (* 0 0))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 re) 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) 0) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) (* 2 (sqrt (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (* 2.0 (/ 1 re))))))) into (* -1/2 (/ (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)) (sqrt (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (* 2.0 (/ 1 re)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma 2.0 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (/ 1 (- re)) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (* (/ 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 (* 0 (sqrt +nan.0)) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt +nan.0)) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (* -1 2.0) into -2.0
* [misc]backup-simplify:  Simplify (+ 0 -2.0) 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 2.0 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (/ 1 (- re)) 2.0))) in re
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (* (/ 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 (* 0 (sqrt +nan.0)) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt +nan.0)) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (* -1 2.0) into -2.0
* [misc]backup-simplify:  Simplify (+ 0 -2.0) into (- 2.0)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 2.0) (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of +nan.0 in im
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* +nan.0 (sqrt +nan.0))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* (- (* +nan.0 (sqrt +nan.0))) (sqrt +nan.0))) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (* +nan.0 (pow (sqrt +nan.0) 2)))) (* 0 0)) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (pow (sqrt +nan.0) 2))) 0) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify (/ (- (- (* +nan.0 (pow (sqrt +nan.0) 2))) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 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 (pow (sqrt +nan.0) 2)) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (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 (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [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 (pow (sqrt +nan.0) 2)) into (* +nan.0 (pow (sqrt +nan.0) 2))
* [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 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (* +nan.0 (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))) into (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) into (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* +nan.0 (/ +nan.0 (sqrt +nan.0))) (* +nan.0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* (- (* +nan.0 (sqrt +nan.0))) (/ +nan.0 (sqrt +nan.0))) (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))) (+ (* 0 (- (* +nan.0 (pow (sqrt +nan.0) 2)))) (* 0 0))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) 0) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 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 (pow (sqrt +nan.0) 2)) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (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 (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [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 (pow (sqrt +nan.0) 2)) into (* +nan.0 (pow (sqrt +nan.0) 2))
* [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 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (* +nan.0 (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))) into (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) into (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (* +nan.0 (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) re)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow re 2))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re 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 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt re)) into (pow re 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt re)) into (pow re 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt re)))) into 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 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt im)) into (pow im 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt im)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt im)) into (pow im 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt im)))) into 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 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* re 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt im)) into (pow im 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt im)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt im)) into (pow im 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt im)))) into 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 (* (sqrt im) (pow im 1/4)) into (pow (pow im 3) 1/4)
* [misc]backup-simplify:  Simplify (* (pow (pow im 3) 1/4) (pow im 1/4)) into im
* [misc]backup-simplify:  Simplify (* 2.0 im) 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 (+ (* (sqrt im) 0) (* 0 (pow im 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow im 3) 1/4) 0) (* 0 (pow im 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (* 0 im)) 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 (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (sqrt (/ 1 (pow im 3)))) (pow 0 2) (+)) (* 2 (pow im 1/4))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (sqrt (/ 1 (pow im 3)))) (pow 0 2) (+)) (* 2 (pow im 1/4))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (pow im 1/4)))) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
* [misc]backup-simplify:  Simplify (+ (* (pow (pow im 3) 1/4) (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* 0 0) (* (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) (pow im 1/4)))) into (* 1/2 (/ 1 im))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (* 1/2 (/ 1 im))) (+ (* 0 0) (* 0 im))) 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 (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/8 (pow (/ 1 (pow im 7)) 1/4)))))) (* 2 (pow im 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/8 (pow (/ 1 (pow im 7)) 1/4)))))) (* 2 (pow im 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (pow im 1/4))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow im 3) 1/4) 0) (+ (* 0 (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 0) (* 0 (pow im 1/4))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 im))) (+ (* 0 0) (* 0 im)))) 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 2.0 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (* (/ 1 re) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (* (/ 1 re) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 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 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (* (/ 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 2.0 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (* (/ 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 2.0 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (* (/ 1 re) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) (* (/ 1 re) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (* (/ 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 (* 0 (sqrt +nan.0)) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt +nan.0)) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (* 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 (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* +nan.0 (sqrt +nan.0))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* (- (* +nan.0 (sqrt +nan.0))) (sqrt +nan.0))) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (* +nan.0 (pow (sqrt +nan.0) 2)))) (* 0 0)) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (pow (sqrt +nan.0) 2))) 0) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (pow (sqrt +nan.0) 2))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (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 (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 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 (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* +nan.0 (/ +nan.0 (sqrt +nan.0))) (* +nan.0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* (- (* +nan.0 (sqrt +nan.0))) (/ +nan.0 (sqrt +nan.0))) (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))) (+ (* 0 (- (* +nan.0 (pow (sqrt +nan.0) 2)))) (* 0 0))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [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 (+ (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) 0) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (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 (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [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 (pow (sqrt +nan.0) 2)) into (* +nan.0 (pow (sqrt +nan.0) 2))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (pow (sqrt +nan.0) 2))) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (pow (sqrt +nan.0) 2))) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (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 (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0)))) (+ (* +nan.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* +nan.0 (/ +nan.0 (sqrt +nan.0))) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0)))))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0)))) (+ (* (- (* +nan.0 (sqrt +nan.0))) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (/ +nan.0 (sqrt +nan.0))) (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0))))))))))) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))) (+ (* 0 (- (* +nan.0 (pow (sqrt +nan.0) 2)))) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.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 (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))))))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 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]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (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 (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow (sqrt +nan.0) 2) (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 (sqrt +nan.0) 2) (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ (pow (sqrt +nan.0) 2) 1) into (pow (sqrt +nan.0) 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 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 (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (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) 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 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt +nan.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (sqrt +nan.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt +nan.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (sqrt +nan.0) 2) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (pow (sqrt +nan.0) 2))) 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (pow (sqrt +nan.0) 2)) into (* +nan.0 (pow (sqrt +nan.0) 2))
* [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 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) (* 1 (/ 1 re))) (+ (- (* +nan.0 (pow (sqrt +nan.0) 2))) (* 2.0 (* 1 (/ 1 (/ 1 re)))))) into (- (* 2.0 re) (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) re)) (- (* +nan.0 (/ 1 re)))))))
* [misc]approximate:  Taking taylor expansion of (fma 2.0 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (/ 1 (- re)) 2.0)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (fma 2.0 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (/ 1 (- re)) 2.0)) in im
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- 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 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (* (/ 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 2.0 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (* (/ 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 2.0 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (/ 1 (- re)) 2.0)) in re
* [misc]taylor:  Rewrote expression to (+ (* 2.0 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (* (/ 1 (- re)) 2.0))
* [misc]taylor:  Taking taylor expansion of (* 2.0 (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) in re
* [misc]taylor:  Taking taylor expansion of 2.0 in re
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (* (/ 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 (* 0 (sqrt +nan.0)) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt +nan.0)) into 0
* [misc]backup-simplify:  Simplify (* 2.0 0) into 0
* [misc]backup-simplify:  Simplify (* -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]taylor:  Taking taylor expansion of 2.0 in im
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* +nan.0 (sqrt +nan.0))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* (- (* +nan.0 (sqrt +nan.0))) (sqrt +nan.0))) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (* +nan.0 (pow (sqrt +nan.0) 2)))) (* 0 0)) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2.0)) into 0
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (pow (sqrt +nan.0) 2))) 0) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (pow (sqrt +nan.0) 2))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (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 (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (- 2.0) into (- 2.0)
* [misc]backup-simplify:  Simplify (- 2.0) into (- 2.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* +nan.0 (/ +nan.0 (sqrt +nan.0))) (* +nan.0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* (- (* +nan.0 (sqrt +nan.0))) (/ +nan.0 (sqrt +nan.0))) (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))) (+ (* 0 (- (* +nan.0 (pow (sqrt +nan.0) 2)))) (* 0 0))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2.0))) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) 0) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (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 (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [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 (pow (sqrt +nan.0) 2)) into (* +nan.0 (pow (sqrt +nan.0) 2))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (pow (sqrt +nan.0) 2))) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (pow (sqrt +nan.0) 2))) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0)))) (+ (* +nan.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* +nan.0 (/ +nan.0 (sqrt +nan.0))) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0)))))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0)))) (+ (* (- (* +nan.0 (sqrt +nan.0))) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (/ +nan.0 (sqrt +nan.0))) (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0))))))))))) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))))
* [misc]backup-simplify:  Simplify (+ (* 2.0 (- (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))) (+ (* 0 (- (* +nan.0 (pow (sqrt +nan.0) 2)))) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 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 (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))))))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 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]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (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 (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow (sqrt +nan.0) 2) (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 (sqrt +nan.0) 2) (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ (pow (sqrt +nan.0) 2) 1) into (pow (sqrt +nan.0) 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 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 (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (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) 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 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt +nan.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (sqrt +nan.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt +nan.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (sqrt +nan.0) 2) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (pow (sqrt +nan.0) 2))) 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (pow (sqrt +nan.0) 2)) into (* +nan.0 (pow (sqrt +nan.0) 2))
* [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 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) (* 1 (/ 1 (- re)))) (+ (- (* +nan.0 (pow (sqrt +nan.0) 2))) (* (- 2.0) (* 1 (/ 1 (/ 1 (- re))))))) into (- (* 2.0 re) (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) re)) (- (* +nan.0 (/ 1 re)))))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1 2 1)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt re)) into (pow re 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt re)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt im)) into (pow im 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt im)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt im)) into (pow im 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt im)))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt im) (pow im 1/4)) into (pow (pow im 3) 1/4)
* [misc]taylor:  Taking taylor expansion of (pow (pow im 3) 1/4) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log (pow im 3)))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/4 (log (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 (pow im 3)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 3) in im
* [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 (pow im 3/4) into (pow im 3/4)
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) 0) (* 0 (pow im 1/4))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (* 3 (log im)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (sqrt (/ 1 (pow im 3)))) (pow 0 2) (+)) (* 2 (pow im 1/4))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (pow im 1/4)))) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
* [misc]taylor:  Taking taylor expansion of (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) in im
* [misc]taylor:  Taking taylor expansion of 3/8 in im
* [misc]backup-simplify:  Simplify 3/8 into 3/8
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/4) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 5))))) in im
* [misc]taylor:  Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 5)))) 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 5))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow im 5)) in im
* [misc]taylor:  Taking taylor expansion of (pow im 5) in im
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
* [misc]backup-simplify:  Simplify (* 1/4 (- (* 5 (log im)))) into (* -5/4 (log im))
* [misc]backup-simplify:  Simplify (exp (* -5/4 (log im))) into (pow im -5/4)
* [misc]backup-simplify:  Simplify (* 3/8 (pow im -5/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
* [misc]backup-simplify:  Simplify (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 3 (log im))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/8 (pow (/ 1 (pow im 7)) 1/4)))))) (* 2 (pow im 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (pow im 1/4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (- (* 5 (log im))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -5/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3/8 0) (* 0 (pow im -5/4))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im))
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 3 (log im)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) (pow (* 1 re) 2)) (pow im 3/4)) into (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (* 0 (sqrt +nan.0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* +nan.0 (sqrt +nan.0))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (sqrt +nan.0))) in im
* [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 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* +nan.0 (/ +nan.0 (sqrt +nan.0))) (* +nan.0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (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 (/ 1 (sqrt +nan.0)) 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 (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (sqrt +nan.0))) in im
* [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 (- (* +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)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (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 (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0)))) (+ (* +nan.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* +nan.0 (/ +nan.0 (sqrt +nan.0))) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0)))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0))))))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0)))))))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (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 (/ 1 (sqrt +nan.0)) 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 (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0))))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0)))))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +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 (/ (sqrt +nan.0) (pow im 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]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0)))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) 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) 3)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 3 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 3 in im
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 3 (log (sqrt +nan.0))) into (* 3 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 3)) into (/ 1 (pow (sqrt +nan.0) 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt +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 (/ 1 (* (sqrt +nan.0) (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt +nan.0) (pow im 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]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (sqrt +nan.0))) in im
* [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 (- (/ 0 1) (+ (* (sqrt +nan.0) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt +nan.0)) (/ 0 (sqrt +nan.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 (sqrt +nan.0)))) 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) 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) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (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 (- (* +nan.0 (sqrt +nan.0))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 (sqrt +nan.0)) (- (* +nan.0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
* [misc]backup-simplify:  Simplify (/ (- (/ -1/8 (pow im 4)) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))))) (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0))) (pow (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0))) 2) (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow im 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 4)))) (- +nan.0)))))))))))))))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow im 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 4)))) (- +nan.0)))))))))))))))) (sqrt +nan.0)))) (+ (* +nan.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0)))) (+ (* +nan.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2))))))))))))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))))))))))))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (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 (/ 1 (sqrt +nan.0)) 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 (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2))))))))))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))))))))))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +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 (/ (sqrt +nan.0) (pow im 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]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2))))))))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))))))))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) 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) 3)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 3 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 3 in im
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 3 (log (sqrt +nan.0))) into (* 3 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 3)) into (/ 1 (pow (sqrt +nan.0) 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2))))))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))))))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) 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) 5)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 5) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 5 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 5 in im
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 5 (log (sqrt +nan.0))) into (* 5 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 5)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 5)) into (/ 1 (pow (sqrt +nan.0) 5))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2))))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (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 (sqrt +nan.0) 3) (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of (* (pow (sqrt +nan.0) 3) (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 3 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 3 in im
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 3 (log (sqrt +nan.0))) into (* 3 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (* (pow (sqrt +nan.0) 3) 1) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 3)) into (/ 1 (pow (sqrt +nan.0) 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))))) in im
* [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]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt +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 (/ 1 (* (sqrt +nan.0) (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt +nan.0) (pow im 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]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt +nan.0) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt +nan.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (sqrt +nan.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (sqrt +nan.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt +nan.0) 3) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt +nan.0) 3)) (/ 0 (pow (sqrt +nan.0) 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 (pow (sqrt +nan.0) 3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt +nan.0)) (/ 0 (sqrt +nan.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 (sqrt +nan.0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt +nan.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt +nan.0)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) into (/ +nan.0 (pow (sqrt +nan.0) 3))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt +nan.0)) (/ 0 (sqrt +nan.0))) (* 0 (/ 0 (sqrt +nan.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (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 (- (* +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 (+ (/ +nan.0 (pow (sqrt +nan.0) 3)) (- (* +nan.0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))))) into (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))))) into (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))))) into (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))))
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 (sqrt +nan.0)) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0))))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0))))))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt +nan.0))))) into (- (+ (* +nan.0 (sqrt +nan.0)) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) re))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow re 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) re)) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow re 2))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow re 2)))))))))))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (* 0 (sqrt +nan.0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* +nan.0 (sqrt +nan.0))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (sqrt +nan.0))) in im
* [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 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* +nan.0 (/ +nan.0 (sqrt +nan.0))) (* +nan.0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (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 (/ 1 (sqrt +nan.0)) 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 (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (sqrt +nan.0))) in im
* [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 (- (* +nan.0 (sqrt +nan.0))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0)))) (+ (* +nan.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* +nan.0 (/ +nan.0 (sqrt +nan.0))) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0)))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0))))))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0)))))))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (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 (/ 1 (sqrt +nan.0)) 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 (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0))))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0)))))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +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 (/ (sqrt +nan.0) (pow im 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]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0)))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) 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) 3)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 3 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 3 in im
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 3 (log (sqrt +nan.0))) into (* 3 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 3)) into (/ 1 (pow (sqrt +nan.0) 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt +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 (/ 1 (* (sqrt +nan.0) (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt +nan.0) (pow im 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]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (sqrt +nan.0))) in im
* [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 (- (/ 0 1) (+ (* (sqrt +nan.0) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt +nan.0)) (/ 0 (sqrt +nan.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 (sqrt +nan.0)))) 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) 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) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (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 (- (* +nan.0 (sqrt +nan.0))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 (sqrt +nan.0)) (- (* +nan.0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
* [misc]backup-simplify:  Simplify (/ (- (/ -1/8 (pow im 4)) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))))) (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0))) (pow (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0))) 2) (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow im 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 4)))) (- +nan.0)))))))))))))))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow im 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 4)))) (- +nan.0)))))))))))))))) (sqrt +nan.0)))) (+ (* +nan.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0)))) (+ (* +nan.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2))))))))))))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))))))))))))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (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 (/ 1 (sqrt +nan.0)) 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 (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2))))))))))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))))))))))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +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 (/ (sqrt +nan.0) (pow im 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]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2))))))))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))))))))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) 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) 3)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 3 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 3 in im
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 3 (log (sqrt +nan.0))) into (* 3 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 3)) into (/ 1 (pow (sqrt +nan.0) 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2))))))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))))))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) 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) 5)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 5) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 5 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 5 in im
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 5 (log (sqrt +nan.0))) into (* 5 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 5)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 5)) into (/ 1 (pow (sqrt +nan.0) 5))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2))))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (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 (sqrt +nan.0) 3) (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of (* (pow (sqrt +nan.0) 3) (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 3) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 3 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 3 in im
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 3 (log (sqrt +nan.0))) into (* 3 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (* (pow (sqrt +nan.0) 3) 1) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 3)) into (/ 1 (pow (sqrt +nan.0) 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))))) in im
* [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]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt +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 (/ 1 (* (sqrt +nan.0) (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt +nan.0) (pow im 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]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt +nan.0) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt +nan.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (sqrt +nan.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (sqrt +nan.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt +nan.0) 3) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt +nan.0) 3)) (/ 0 (pow (sqrt +nan.0) 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 (pow (sqrt +nan.0) 3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt +nan.0)) (/ 0 (sqrt +nan.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 (sqrt +nan.0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt +nan.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt +nan.0)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) into (/ +nan.0 (pow (sqrt +nan.0) 3))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt +nan.0)) (/ 0 (sqrt +nan.0))) (* 0 (/ 0 (sqrt +nan.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (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 (- (* +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 (+ (/ +nan.0 (pow (sqrt +nan.0) 3)) (- (* +nan.0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))))) into (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))))) into (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))))) into (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))))
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 (sqrt +nan.0)) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0))))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0))))))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt +nan.0))))) into (- (+ (* +nan.0 (sqrt +nan.0)) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) re))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow re 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) re)) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow re 2))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow re 2)))))))))))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1 2)
* [misc]approximate:  Taking taylor expansion of (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt re)) into (pow re 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in im
* [misc]taylor:  Taking taylor expansion of (hypot re im) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in im
* [misc]taylor:  Taking taylor expansion of (* re re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]taylor:  Taking taylor expansion of (* im im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* re re) into (pow re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow re 2) 0) into (pow re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow re 2)) into re
* [misc]backup-simplify:  Simplify (+ (* re 0) (* 0 re)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt re) into (sqrt re)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt re))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt re)) into (pow re 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt re)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt im)) into (pow im 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt im)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt im)) into (pow im 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt im)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt im)) into (pow im 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt im)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot re im))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot re im)) in re
* [misc]taylor:  Taking taylor expansion of (hypot re im) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* re re) (* im im)))
* [misc]taylor:  Taking taylor expansion of (+ (* re re) (* im im)) in re
* [misc]taylor:  Taking taylor expansion of (* re re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* im im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* im im) into (pow im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow im 2)) into (pow im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow im 2)) into im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (* 0 im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
* [misc]backup-simplify:  Simplify (sqrt im) into (sqrt im)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt im)) into (pow im 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt im)))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt im) (pow im 1/4)) into (pow (pow im 3) 1/4)
* [misc]backup-simplify:  Simplify (* (pow (pow im 3) 1/4) (pow im 1/4)) into im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) 0) (* 0 (pow im 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow im 3) 1/4) 0) (* 0 (pow im 1/4))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (sqrt (/ 1 (pow im 3)))) (pow 0 2) (+)) (* 2 (pow im 1/4))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (sqrt (/ 1 (pow im 3)))) (pow 0 2) (+)) (* 2 (pow im 1/4))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (pow im 1/4)))) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4))
* [misc]backup-simplify:  Simplify (+ (* (pow (pow im 3) 1/4) (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* 0 0) (* (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) (pow im 1/4)))) into (* 1/2 (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/8 (pow (/ 1 (pow im 7)) 1/4)))))) (* 2 (pow im 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/8 (pow (/ 1 (pow im 7)) 1/4)))))) (* 2 (pow im 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (pow im 1/4))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (pow im 3) 1/4) 0) (+ (* 0 (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 0) (* 0 (pow im 1/4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* im 1)) into im
* [misc]approximate:  Taking taylor expansion of (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 re) (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 re) (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (* 0 (sqrt +nan.0)) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt +nan.0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* +nan.0 (sqrt +nan.0))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* (- (* +nan.0 (sqrt +nan.0))) (sqrt +nan.0))) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (pow (sqrt +nan.0) 2))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (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 (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 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 (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* +nan.0 (/ +nan.0 (sqrt +nan.0))) (* +nan.0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* (- (* +nan.0 (sqrt +nan.0))) (/ +nan.0 (sqrt +nan.0))) (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (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 (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [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 (pow (sqrt +nan.0) 2)) into (* +nan.0 (pow (sqrt +nan.0) 2))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (pow (sqrt +nan.0) 2))) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (pow (sqrt +nan.0) 2))) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (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 (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0)))) (+ (* +nan.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* +nan.0 (/ +nan.0 (sqrt +nan.0))) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0)))))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0)))) (+ (* (- (* +nan.0 (sqrt +nan.0))) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (/ +nan.0 (sqrt +nan.0))) (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0))))))))))) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 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]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (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 (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow (sqrt +nan.0) 2) (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 (sqrt +nan.0) 2) (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ (pow (sqrt +nan.0) 2) 1) into (pow (sqrt +nan.0) 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 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 (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (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) 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 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt +nan.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (sqrt +nan.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt +nan.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (sqrt +nan.0) 2) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (pow (sqrt +nan.0) 2))) 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (pow (sqrt +nan.0) 2)) into (* +nan.0 (pow (sqrt +nan.0) 2))
* [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 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt +nan.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (sqrt +nan.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt +nan.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (pow (sqrt +nan.0) 2))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
* [misc]backup-simplify:  Simplify (/ (- (/ -1/8 (pow im 4)) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))))) (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0))) (pow (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0))) 2) (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow im 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 4)))) (- +nan.0)))))))))))))))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
* [misc]backup-simplify:  Simplify (/ (- (/ -1/8 (pow im 4)) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))))) (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0))) (pow (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0))) 2) (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow im 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 4)))) (- +nan.0)))))))))))))))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow im 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 4)))) (- +nan.0)))))))))))))))) (sqrt +nan.0)))) (+ (* +nan.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0)))) (+ (* +nan.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow im 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 4)))) (- +nan.0)))))))))))))))) (sqrt +nan.0)))) (+ (* (- (* +nan.0 (sqrt +nan.0))) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0)))) (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0))))))))))) (/ +nan.0 (sqrt +nan.0))) (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2))))))))))))))))) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))))))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 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]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (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 (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (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 (sqrt +nan.0) 2) (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of (* (pow (sqrt +nan.0) 2) (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (* (pow (sqrt +nan.0) 2) 1) 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 (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (sqrt +nan.0) 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 (sqrt +nan.0) 4)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 4) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 4 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 4 in im
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 4 (log (sqrt +nan.0))) into (* 4 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 4)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 4)) into (/ 1 (pow (sqrt +nan.0) 4))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow (sqrt +nan.0) 2) (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 (sqrt +nan.0) 2) (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ (pow (sqrt +nan.0) 2) 1) into (pow (sqrt +nan.0) 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 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 (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (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) 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 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt +nan.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (sqrt +nan.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt +nan.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt +nan.0) 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt +nan.0) 2)) (/ 0 (pow (sqrt +nan.0) 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 (pow (sqrt +nan.0) 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt +nan.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (sqrt +nan.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt +nan.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (sqrt +nan.0) 2) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (pow (sqrt +nan.0) 2))) 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) 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 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 (pow (sqrt +nan.0) 2)) into (* +nan.0 (pow (sqrt +nan.0) 2))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt +nan.0) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt +nan.0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt +nan.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (sqrt +nan.0) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (pow (sqrt +nan.0) 2)))) into 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 (- +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 (+ 0 (- (+ (* +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 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) (* 1 (/ 1 re))) (- (* +nan.0 (pow (sqrt +nan.0) 2))))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) re)) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow re 2)))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow re 2))))))))))))))
* [misc]approximate:  Taking taylor expansion of (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 (- re)) (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in im
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (hypot (/ 1 (- re)) (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (hypot (/ 1 (- re)) (/ 1 (- im))) in re
* [misc]taylor:  Rewrote expression to (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- re)) (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- im)) (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.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 (* 0 (sqrt +nan.0)) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt +nan.0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* +nan.0 (sqrt +nan.0))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* (- (* +nan.0 (sqrt +nan.0))) (sqrt +nan.0))) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (pow (sqrt +nan.0) 2))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (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 (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* +nan.0 (/ +nan.0 (sqrt +nan.0))) (* +nan.0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* (- (* +nan.0 (sqrt +nan.0))) (/ +nan.0 (sqrt +nan.0))) (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (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 (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [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 (pow (sqrt +nan.0) 2)) into (* +nan.0 (pow (sqrt +nan.0) 2))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (pow (sqrt +nan.0) 2))) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (pow (sqrt +nan.0) 2))) into (- (* +nan.0 (pow (sqrt +nan.0) 2)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0)))) (+ (* +nan.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* +nan.0 (/ +nan.0 (sqrt +nan.0))) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0)))))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0)))) (+ (* (- (* +nan.0 (sqrt +nan.0))) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (/ +nan.0 (sqrt +nan.0))) (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0))))))))))) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 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]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (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 (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow (sqrt +nan.0) 2) (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 (sqrt +nan.0) 2) (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ (pow (sqrt +nan.0) 2) 1) into (pow (sqrt +nan.0) 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 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 (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (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) 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 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt +nan.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (sqrt +nan.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt +nan.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (sqrt +nan.0) 2) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (pow (sqrt +nan.0) 2))) 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (pow (sqrt +nan.0) 2)) into (* +nan.0 (pow (sqrt +nan.0) 2))
* [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 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt +nan.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (sqrt +nan.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt +nan.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (pow (sqrt +nan.0) 2))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
* [misc]backup-simplify:  Simplify (/ (- (/ -1/8 (pow im 4)) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))))) (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0))) (pow (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0))) 2) (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow im 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 4)))) (- +nan.0)))))))))))))))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
* [misc]backup-simplify:  Simplify (/ (- (/ -1/8 (pow im 4)) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))))) (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- (* 1/8 (/ 1 (pow im 4))) +nan.0))) (pow (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0))) 2) (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow im 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 4)))) (- +nan.0)))))))))))))))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow im 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 4)))) (- +nan.0)))))))))))))))) (sqrt +nan.0)))) (+ (* +nan.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0)))) (+ (* +nan.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow im 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 4)))) (- +nan.0)))))))))))))))) (sqrt +nan.0)))) (+ (* (- (* +nan.0 (sqrt +nan.0))) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- +nan.0)))))))) (sqrt +nan.0)))) (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2)))) (- (* +nan.0 (sqrt +nan.0))))))))))) (/ +nan.0 (sqrt +nan.0))) (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow im 2)))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow im 2))))))))))))))))) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))))))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 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]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (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 (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow im 2)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (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 (sqrt +nan.0) 2) (pow im 2))) in im
* [misc]taylor:  Taking taylor expansion of (* (pow (sqrt +nan.0) 2) (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (* (pow (sqrt +nan.0) 2) 1) 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 (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (sqrt +nan.0) 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 (sqrt +nan.0) 4)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 4) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 4 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 4 in im
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 4 (log (sqrt +nan.0))) into (* 4 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 4)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 4)) into (/ 1 (pow (sqrt +nan.0) 4))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow im 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow (sqrt +nan.0) 2) (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 (sqrt +nan.0) 2) (pow im 2)) in im
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 2) in im
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (sqrt +nan.0)))) into (pow (sqrt +nan.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow im 2) in im
* [misc]backup-simplify:  Simplify (/ (pow (sqrt +nan.0) 2) 1) into (pow (sqrt +nan.0) 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 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 (exp (* 2 (log (sqrt +nan.0)))) in im
* [misc]taylor:  Taking taylor expansion of (* 2 (log (sqrt +nan.0))) in im
* [misc]taylor:  Taking taylor expansion of 2 in im
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (sqrt +nan.0)) 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 (log (sqrt +nan.0)) into (log (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* 2 (log (sqrt +nan.0))) into (* 2 (log (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (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) 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 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt +nan.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (sqrt +nan.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt +nan.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt +nan.0) 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt +nan.0) 2)) (/ 0 (pow (sqrt +nan.0) 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 (pow (sqrt +nan.0) 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt +nan.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (sqrt +nan.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt +nan.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (sqrt +nan.0) 2) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (pow (sqrt +nan.0) 2))) 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) 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 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 (pow (sqrt +nan.0) 2)) into (* +nan.0 (pow (sqrt +nan.0) 2))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt +nan.0) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt +nan.0))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (sqrt +nan.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (sqrt +nan.0) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (pow (sqrt +nan.0) 2)))) into 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 (- +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 (+ 0 (- (+ (* +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 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- +nan.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (pow (sqrt +nan.0) 2))))) into (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) re)) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow re 2)))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow re 2))))))))))))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (log1p (expm1 (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (expm1 (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (expm1 (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (expm1 (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* * * * [misc]progress:  [ 2 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (expm1 (log1p (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (log1p (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (log1p (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (log1p (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* * * * [misc]progress:  [ 3 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (pow (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)) 1/2)))>
* * * * [misc]progress:  [ 4 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (pow (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))) 1)))>
* * * * [misc]progress:  [ 5 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (exp (log (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (log (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (log (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (log (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* * * * [misc]progress:  [ 6 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (log (exp (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (exp (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (exp (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* * * * [misc]progress:  [ 7 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* (* (cbrt (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))) (cbrt (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))))) (cbrt (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))) (cbrt (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (sqrt (fma 2.0 (hypot re im) (* re 2.0)))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (sqrt (fma 2.0 (hypot re im) (* re 2.0)))))
* [enter]simplify:  Simplifying (cbrt (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (cbrt (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* * * * [misc]progress:  [ 8 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (cbrt (* (* (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))) (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))) (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))) (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))) (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (252 enodes)
* [exit]simplify:  Simplified to (* (fma 2.0 (hypot re im) (* re 2.0)) (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (* (fma 2.0 (hypot re im) (* re 2.0)) (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* * * * [misc]progress:  [ 9 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* (sqrt (* (cbrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))) (cbrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))))) (sqrt (cbrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))) (cbrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (85 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (fabs (cbrt (fma 2.0 (hypot re im) (* re 2.0))))
* [enter]simplify:  Simplifying (sqrt (cbrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (sqrt (cbrt (fma 2.0 (hypot re im) (* re 2.0))))
* * * * [misc]progress:  [ 10 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* (sqrt (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))) (sqrt (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (sqrt (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* [enter]simplify:  Simplifying (sqrt (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (sqrt (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* * * * [misc]progress:  [ 11 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* (sqrt 1) (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (sqrt (fma 2.0 (hypot re im) (* re 2.0)))
* [exit]simplify:  Simplified to (sqrt (fma 2.0 (hypot re im) (* re 2.0)))
* * * * [misc]progress:  [ 12 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* (sqrt (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))) (sqrt (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (sqrt (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* [enter]simplify:  Simplifying (sqrt (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (sqrt (sqrt (fma 2.0 (hypot re im) (* re 2.0))))
* * * * [misc]progress:  [ 13 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (fabs (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))))))>
* * * * [misc]progress:  [ 14 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (* 1 (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))))))>
* * * * [misc]progress:  [ 15 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (log1p (expm1 (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (expm1 (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (expm1 (fma 2.0 (hypot re im) (* re 2.0)))
* [exit]simplify:  Simplified to (expm1 (fma 2.0 (hypot re im) (* re 2.0)))
* * * * [misc]progress:  [ 16 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (expm1 (log1p (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (log1p (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (log1p (fma 2.0 (hypot re im) (* re 2.0)))
* [exit]simplify:  Simplified to (log1p (fma 2.0 (hypot re im) (* re 2.0)))
* * * * [misc]progress:  [ 17 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (+ (* 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (* (hypot re im) 2.0)
* [exit]simplify:  Simplified to (* (hypot re im) 2.0)
* * * * [misc]progress:  [ 18 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (pow (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)) 1))))>
* * * * [misc]progress:  [ 19 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (exp (log (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (log (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* [exit]simplify:  Simplified to (log (fma 2.0 (hypot re im) (* re 2.0)))
* [exit]simplify:  Simplified to (log (fma 2.0 (hypot re im) (* re 2.0)))
* * * * [misc]progress:  [ 20 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (log (exp (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (exp (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (exp (fma 2.0 (hypot re im) (* re 2.0)))
* [exit]simplify:  Simplified to (exp (fma 2.0 (hypot re im) (* re 2.0)))
* * * * [misc]progress:  [ 21 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))) (cbrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))) (cbrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* (cbrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))) (cbrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0))))
* [exit]simplify:  Simplified to (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0))))
* [enter]simplify:  Simplifying (cbrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (cbrt (fma 2.0 (hypot re im) (* re 2.0)))
* [exit]simplify:  Simplified to (cbrt (fma 2.0 (hypot re im) (* re 2.0)))
* * * * [misc]progress:  [ 22 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (cbrt (* (* (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)) (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))) (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (* (* (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)) (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))) (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* [exit]simplify:  Simplified to (pow (fma 2.0 (hypot re im) (* re 2.0)) 3)
* [exit]simplify:  Simplified to (pow (fma 2.0 (hypot re im) (* re 2.0)) 3)
* * * * [misc]progress:  [ 23 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))) (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))))>
* [enter]simplify:  Simplifying (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (sqrt (fma 2.0 (hypot re im) (* re 2.0)))
* [exit]simplify:  Simplified to (sqrt (fma 2.0 (hypot re im) (* re 2.0)))
* [enter]simplify:  Simplifying (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (sqrt (fma 2.0 (hypot re im) (* re 2.0)))
* [exit]simplify:  Simplified to (sqrt (fma 2.0 (hypot re im) (* re 2.0)))
* * * * [misc]progress:  [ 24 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (* 1 (fma 2.0 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))))))>
* * * * [misc]progress:  [ 25 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (log1p (expm1 (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (expm1 (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (expm1 (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))
* [exit]simplify:  Simplified to (expm1 (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))
* * * * [misc]progress:  [ 26 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (expm1 (log1p (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (log1p (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (log1p (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))
* [exit]simplify:  Simplified to (log1p (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))
* * * * [misc]progress:  [ 27 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (pow (sqrt (hypot re im)) (+ 1 1/2)) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (+ 1 1/2)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (+ 1 1/2)
* [exit]simplify:  Simplified to (+ 1 1/2)
* * * * [misc]progress:  [ 28 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (pow (* (hypot re im) (sqrt (hypot re im))) 1/2) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (hypot re im) (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (* (hypot re im) (sqrt (hypot re im)))
* [exit]simplify:  Simplified to (* (hypot re im) (sqrt (hypot re im)))
* * * * [misc]progress:  [ 29 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (pow (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) 1) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
* * * * [misc]progress:  [ 30 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* * * * [misc]progress:  [ 31 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* * * * [misc]progress:  [ 32 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (pow (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) 1) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* * * * [misc]progress:  [ 33 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (exp (+ (log (sqrt (hypot re im))) (log (sqrt (sqrt (hypot re im)))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (hypot re im))) (log (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (hypot re im))))
* [exit]simplify:  Simplified to (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (hypot re im))))
* * * * [misc]progress:  [ 34 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (exp (log (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (log (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (log (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))
* [exit]simplify:  Simplified to (log (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))
* * * * [misc]progress:  [ 35 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (log (exp (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (exp (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (pow (exp (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
* [exit]simplify:  Simplified to (pow (exp (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
* * * * [misc]progress:  [ 36 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (cbrt (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (* (* (hypot re im) (hypot re im)) (sqrt (sqrt (hypot re im))))
* [exit]simplify:  Simplified to (* (* (hypot re im) (hypot re im)) (sqrt (sqrt (hypot re im))))
* * * * [misc]progress:  [ 37 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (* (cbrt (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))))) (cbrt (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (cbrt (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))))
* [exit]simplify:  Simplified to (* (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))))
* [enter]simplify:  Simplifying (cbrt (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))
* [exit]simplify:  Simplified to (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))
* * * * [misc]progress:  [ 38 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (cbrt (* (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot re im))) (* (hypot re im) (hypot re im)))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot re im))) (* (hypot re im) (hypot re im)))
* * * * [misc]progress:  [ 39 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (* (hypot re im) (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (hypot re im) (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (* (hypot re im) (sqrt (hypot re im)))
* [exit]simplify:  Simplified to (* (hypot re im) (sqrt (hypot re im)))
* * * * [misc]progress:  [ 40 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (sqrt (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (sqrt (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))
* [exit]simplify:  Simplified to (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))
* [enter]simplify:  Simplifying (sqrt (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))
* [exit]simplify:  Simplified to (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))
* * * * [misc]progress:  [ 41 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* 1 (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* * * * [misc]progress:  [ 42 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (* (sqrt (hypot re im)) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (cbrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot re im)) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (cbrt (sqrt (sqrt (hypot re im))))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (cbrt (sqrt (sqrt (hypot re im))))))
* * * * [misc]progress:  [ 43 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))) (sqrt (cbrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot re im)) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (sqrt (hypot re im)))) (sqrt (hypot re im)))
* [exit]simplify:  Simplified to (* (fabs (cbrt (sqrt (hypot re im)))) (sqrt (hypot re im)))
* * * * [misc]progress:  [ 44 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (* (sqrt (hypot re im)) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))) (sqrt (sqrt (cbrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot re im)) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fabs (cbrt (hypot re im)))) (sqrt (hypot re im)))
* [exit]simplify:  Simplified to (* (sqrt (fabs (cbrt (hypot re im)))) (sqrt (hypot re im)))
* * * * [misc]progress:  [ 45 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im)))))
* [exit]simplify:  Simplified to (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im)))))
* * * * [misc]progress:  [ 46 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (* (sqrt (hypot re im)) (sqrt (sqrt 1))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot re im)) (sqrt (sqrt 1)))
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt 1)) (sqrt (hypot re im)))
* [exit]simplify:  Simplified to (* (sqrt (sqrt 1)) (sqrt (hypot re im)))
* * * * [misc]progress:  [ 47 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im)))))
* [exit]simplify:  Simplified to (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im)))))
* * * * [misc]progress:  [ 48 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (* (sqrt (hypot re im)) (sqrt 1)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot re im)) (sqrt 1))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot re im)) (sqrt 1))
* [exit]simplify:  Simplified to (* (sqrt (hypot re im)) (sqrt 1))
* * * * [misc]progress:  [ 49 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im)))))
* [exit]simplify:  Simplified to (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im)))))
* * * * [misc]progress:  [ 50 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (* (sqrt (hypot re im)) 1) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot re im)) 1)
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* * * * [misc]progress:  [ 51 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
* * * * [misc]progress:  [ 52 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (cbrt (hypot re im))) (sqrt (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (cbrt (hypot re im))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (cbrt (hypot re im))))
* * * * [misc]progress:  [ 53 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* * * * [misc]progress:  [ 54 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
* * * * [misc]progress:  [ 55 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* * * * [misc]progress:  [ 56 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* 1 (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
* * * * [misc]progress:  [ 57 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* * * * [misc]progress:  [ 58 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (log1p (expm1 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (expm1 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (expm1 (hypot re im))
* [exit]simplify:  Simplified to (expm1 (hypot re im))
* * * * [misc]progress:  [ 59 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (expm1 (log1p (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (log1p (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (log1p (hypot re im))
* [exit]simplify:  Simplified to (log1p (hypot re im))
* * * * [misc]progress:  [ 60 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (pow (sqrt (hypot re im)) (+ (+ 1 1/2) 1/2)) (* re 2.0)))))>
* [enter]simplify:  Simplifying (+ (+ 1 1/2) 1/2)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (+ (+ 1 1/2) 1/2)
* [exit]simplify:  Simplified to (+ (+ 1 1/2) 1/2)
* * * * [misc]progress:  [ 61 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) (* re 2.0)))))>
* [enter]simplify:  Simplifying (+ 3 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (+ 3 1)
* [exit]simplify:  Simplified to (+ 3 1)
* * * * [misc]progress:  [ 62 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) (* re 2.0)))))>
* [enter]simplify:  Simplifying (+ 3 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (+ 3 1)
* [exit]simplify:  Simplified to (+ 3 1)
* * * * [misc]progress:  [ 63 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (pow (* (* (hypot re im) (sqrt (hypot re im))) (sqrt (hypot re im))) 1/2) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (* (hypot re im) (sqrt (hypot re im))) (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (27 enodes)
* [exit]simplify:  Simplified to (* (hypot re im) (hypot re im))
* [exit]simplify:  Simplified to (* (hypot re im) (hypot re im))
* * * * [misc]progress:  [ 64 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (pow (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) 1) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (hypot re im)
* [exit]simplify:  Simplified to (hypot re im)
* * * * [misc]progress:  [ 65 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (pow (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) 1) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (hypot re im)
* [exit]simplify:  Simplified to (hypot re im)
* * * * [misc]progress:  [ 66 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) (* re 2.0)))))>
* [enter]simplify:  Simplifying (+ 3 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (+ 3 1)
* [exit]simplify:  Simplified to (+ 3 1)
* * * * [misc]progress:  [ 67 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (pow (sqrt (sqrt (hypot re im))) (+ 3 1)) (* re 2.0)))))>
* [enter]simplify:  Simplifying (+ 3 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (+ 3 1)
* [exit]simplify:  Simplified to (+ 3 1)
* * * * [misc]progress:  [ 68 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (pow (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) 1) (* re 2.0)))))>
* * * * [misc]progress:  [ 69 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (exp (+ (+ (log (sqrt (hypot re im))) (log (sqrt (sqrt (hypot re im))))) (log (sqrt (sqrt (hypot re im)))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (+ (+ (log (sqrt (hypot re im))) (log (sqrt (sqrt (hypot re im))))) (log (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (hypot re im))) (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im))))))
* [exit]simplify:  Simplified to (+ (log (sqrt (hypot re im))) (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im))))))
* * * * [misc]progress:  [ 70 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (exp (+ (log (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (log (sqrt (sqrt (hypot re im)))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (+ (log (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (log (sqrt (sqrt (hypot re im)))))
* * [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 (18 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (sqrt (hypot re im)))) (log (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))))
* [exit]simplify:  Simplified to (+ (log (sqrt (sqrt (hypot re im)))) (log (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))))
* * * * [misc]progress:  [ 71 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (exp (log (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (log (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (log (hypot re im))
* [exit]simplify:  Simplified to (log (hypot re im))
* * * * [misc]progress:  [ 72 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (log (exp (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (exp (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (37 enodes)
* [exit]simplify:  Simplified to (exp (hypot re im))
* [exit]simplify:  Simplified to (exp (hypot re im))
* * * * [misc]progress:  [ 73 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (cbrt (* (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (141 enodes)
* * [misc]simplify:  iters left: 1 (147 enodes)
* [exit]simplify:  Simplified to (pow (hypot re im) 3)
* [exit]simplify:  Simplified to (pow (hypot re im) 3)
* * * * [misc]progress:  [ 74 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (cbrt (* (* (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (* (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* [exit]simplify:  Simplified to (pow (hypot re im) 3)
* [exit]simplify:  Simplified to (pow (hypot re im) 3)
* * * * [misc]progress:  [ 75 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (cbrt (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (cbrt (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))) (cbrt (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (cbrt (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (cbrt (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im)))
* [exit]simplify:  Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im)))
* [enter]simplify:  Simplifying (cbrt (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (cbrt (hypot re im))
* [exit]simplify:  Simplified to (cbrt (hypot re im))
* * * * [misc]progress:  [ 76 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (cbrt (* (* (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (* (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (pow (hypot re im) 3)
* [exit]simplify:  Simplified to (pow (hypot re im) 3)
* * * * [misc]progress:  [ 77 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (sqrt (* (* (hypot re im) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (* (hypot re im) (sqrt (hypot re im))) (sqrt (hypot re im)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (27 enodes)
* [exit]simplify:  Simplified to (* (hypot re im) (hypot re im))
* [exit]simplify:  Simplified to (* (hypot re im) (hypot re im))
* * * * [misc]progress:  [ 78 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (sqrt (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (sqrt (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [enter]simplify:  Simplifying (sqrt (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* * * * [misc]progress:  [ 79 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* 1 (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* re 2.0)))))>
* * * * [misc]progress:  [ 80 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (cbrt (sqrt (sqrt (hypot re im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im))))
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im))))
* * * * [misc]progress:  [ 81 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))) (sqrt (cbrt (sqrt (hypot re im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (sqrt (hypot re im)))))
* [exit]simplify:  Simplified to (* (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (sqrt (hypot re im)))))
* * * * [misc]progress:  [ 82 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))) (sqrt (sqrt (cbrt (hypot re im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fabs (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))
* [exit]simplify:  Simplified to (* (sqrt (fabs (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))
* * * * [misc]progress:  [ 83 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (sqrt (hypot re im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))
* [exit]simplify:  Simplified to (* (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))
* * * * [misc]progress:  [ 84 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt 1))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt 1)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (sqrt 1)) (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
* [exit]simplify:  Simplified to (* (* (sqrt (sqrt 1)) (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
* * * * [misc]progress:  [ 85 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (sqrt (hypot re im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))
* [exit]simplify:  Simplified to (* (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))
* * * * [misc]progress:  [ 86 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt 1)) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt 1) (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
* [exit]simplify:  Simplified to (* (* (sqrt 1) (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
* * * * [misc]progress:  [ 87 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (sqrt (hypot re im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))
* [exit]simplify:  Simplified to (* (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))
* * * * [misc]progress:  [ 88 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) 1) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
* * * * [misc]progress:  [ 89 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* [exit]simplify:  Simplified to (sqrt (hypot re im))
* * * * [misc]progress:  [ 90 / 102 ] simplifiying candidate #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (* re 2.0)))))>
* * * * [misc]progress:  [ 91 / 102 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (- (+ (* +nan.0 (/ re (sqrt 2.0))) (- (+ (* +nan.0 (/ (pow re 2) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (/ (pow re 2) (sqrt 2.0))))))))))))>
* [enter]simplify:  Simplifying (* 0.5 (- (+ (* +nan.0 (/ re (sqrt 2.0))) (- (+ (* +nan.0 (/ (pow re 2) (pow (sqrt 2.0) 3))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (/ (pow re 2) (sqrt 2.0)))))))))))
* * * * [misc]progress:  [ 92 / 102 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) re)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow re 2))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))))))))))>
* [enter]simplify:  Simplifying (* 0.5 (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) re)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow re 2))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))))))))
* * * * [misc]progress:  [ 93 / 102 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) re)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow re 2))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))))))))))>
* [enter]simplify:  Simplifying (* 0.5 (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) re)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow re 2))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))))))))
* * * * [misc]progress:  [ 94 / 102 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (+ (* 2.0 re) (* 2.0 im)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (+ (* 2.0 re) (* 2.0 im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (+ im re) 2.0)) 0.5)
* * * * [misc]progress:  [ 95 / 102 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (- (* 2.0 re) (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) re)) (- (* +nan.0 (/ 1 re))))))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (- (* 2.0 re) (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) re)) (- (* +nan.0 (/ 1 re)))))))))
* * * * [misc]progress:  [ 96 / 102 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (- (* 2.0 re) (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) re)) (- (* +nan.0 (/ 1 re))))))))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (- (* 2.0 re) (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) re)) (- (* +nan.0 (/ 1 re)))))))))
* * * * [misc]progress:  [ 97 / 102 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4)))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma 2.0 (* (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4)))) (sqrt (sqrt (hypot re im)))) (* re 2.0))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (161 enodes)
* * [misc]simplify:  iters left: 2 (460 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (fma (* re (* 3/8 re)) (pow (/ 1 (pow im 5)) 1/4) (pow im 3/4)) (* 2.0 (sqrt (sqrt (hypot re im)))) (* re 2.0))) 0.5)
* * * * [misc]progress:  [ 98 / 102 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (- (+ (* +nan.0 (sqrt +nan.0)) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) re))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow re 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) re)) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow re 2))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow re 2))))))))))))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma 2.0 (* (- (+ (* +nan.0 (sqrt +nan.0)) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) re))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow re 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) re)) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow re 2))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow re 2))))))))))))))) (sqrt (sqrt (hypot re im)))) (* re 2.0))))
* * * * [misc]progress:  [ 99 / 102 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (- (+ (* +nan.0 (sqrt +nan.0)) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) re))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow re 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) re)) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow re 2))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow re 2))))))))))))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma 2.0 (* (- (+ (* +nan.0 (sqrt +nan.0)) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) re))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow re 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) re)) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow re 2))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow re 2))))))))))))))) (sqrt (sqrt (hypot re im)))) (* re 2.0))))
* * * * [misc]progress:  [ 100 / 102 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma 2.0 im (* re 2.0)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma 2.0 im (* re 2.0))))
* * [misc]simplify:  iters left: 6 (8 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 (* (+ im re) 2.0)) 0.5)
* * * * [misc]progress:  [ 101 / 102 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma 2.0 (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) re)) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow re 2)))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow re 2)))))))))))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma 2.0 (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) re)) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow re 2)))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow re 2)))))))))))))) (* re 2.0))))
* * * * [misc]progress:  [ 102 / 102 ] simplifiying candidate #<alt-event (λ (re im) (* 0.5 (sqrt (fma 2.0 (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) re)) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow re 2)))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow re 2)))))))))))))) (* re 2.0)))))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (fma 2.0 (- (+ (* +nan.0 (pow (sqrt +nan.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt +nan.0) 2) re)) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow re 2)))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- (* +nan.0 (/ (pow (sqrt +nan.0) 2) (pow re 2)))))))))))))) (* re 2.0))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) (* re 2.0)))))> #<alt-delta (λ (re im) (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))))> #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (sqrt (hypot re im)) (sqrt (exp (log (hypot re im))))) (* re 2.0)))))> #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* re 2.0)))))> #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (cbrt (sqrt (sqrt (hypot re im))))) (* re 2.0)))))> #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (cbrt (* (* (hypot re im) (hypot re im)) (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))> #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (hypot re im) (* re 2.0)))))> #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (cbrt (sqrt (hypot re im)))) (* re 2.0)))))> #<alt-delta (λ (re im) (* 0.5 (sqrt (* 2.0 (fma (sqrt (- re)) (sqrt (hypot re im)) re)))))> #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (sqrt (hypot re im))))) (* re 2.0)))))> #<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (* (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (sqrt (hypot re im)))) (* re 2.0)))))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 (* 0.5 (sqrt (* (* (cbrt (fma 2.0 (hypot re im) (* re 2.0))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))) (cbrt (fma 2.0 (hypot re im) (* re 2.0)))))) +nan.0)) , with alts (#<alt-delta (λ (re im) (* 0.5 (sqrt (fma 2.0 (hypot re im) (* re 2.0)))))>)
* [enter]simplify:  Simplifying (sqrt (fma 2.0 (hypot re im) (* re 2.0)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (fma 2.0 (hypot re im) (* re 2.0)))
* [exit]simplify:  Simplified to (sqrt (fma 2.0 (hypot re im) (* re 2.0)))
* * * * [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 2624
* * * * [misc]points:  Setting MPFR precision to 2880
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2624
* * * * [misc]points:  Setting MPFR precision to 2880
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2624
* * * * [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:  Setting MPFR precision to 3392
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 3136
* * * * [misc]points:  Setting MPFR precision to 3392
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 3136
* * * * [misc]points:  Setting MPFR precision to 3392
* * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 3136
* * * * [misc]points:  Setting MPFR precision to 3392
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 3136
* * * * [misc]points:  Setting MPFR precision to 3392
* * * * [misc]points:  Setting MPFR precision to 3648
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8000 points with exact outputs