* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
* * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 2 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 for 256 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 18 additional inputs, on iter 1 have 238 / 256
* * * * [misc]points:  Computing exacts for 18 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 2 have 254 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 258 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 250
* * [misc]simplify:  Extracting #5: cost 0 inf + 700
* [exit]simplify:  Simplified to (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im)))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (x.re x.im y.re y.im) (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) in (x.re y.re x.im y.im) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in y.im
* [misc]taylor:  Taking taylor expansion of x.re in y.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.im
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* x.re y.re) into (* y.re x.re)
* [misc]backup-simplify:  Simplify (* x.im 0) into 0
* [misc]backup-simplify:  Simplify (+ (* y.re x.re) 0) into (* y.re x.re)
* [misc]backup-simplify:  Simplify (* y.re y.re) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (/ (* y.re x.re) (pow y.re 2)) into (/ x.re y.re)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in x.im
* [misc]taylor:  Taking taylor expansion of x.re in x.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* x.re y.re) into (* y.re x.re)
* [misc]backup-simplify:  Simplify (* 0 y.im) into 0
* [misc]backup-simplify:  Simplify (+ (* y.re x.re) 0) into (* y.re x.re)
* [misc]backup-simplify:  Simplify (* y.re y.re) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
* [misc]backup-simplify:  Simplify (/ (* y.re x.re) (+ (pow y.re 2) (pow y.im 2))) into (/ (* y.re x.re) (+ (pow y.re 2) (pow y.im 2)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in y.re
* [misc]taylor:  Taking taylor expansion of x.re in y.re
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* x.re 0) into 0
* [misc]backup-simplify:  Simplify (* x.im y.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (+ 0 (* y.im x.im)) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ (* y.im x.im) (pow y.im 2)) into (/ x.im y.im)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* 0 y.re) into 0
* [misc]backup-simplify:  Simplify (* x.im y.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (+ 0 (* y.im x.im)) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (* y.re y.re) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
* [misc]backup-simplify:  Simplify (/ (* y.im x.im) (+ (pow y.re 2) (pow y.im 2))) into (/ (* y.im x.im) (+ (pow y.re 2) (pow y.im 2)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* 0 y.re) into 0
* [misc]backup-simplify:  Simplify (* x.im y.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (+ 0 (* y.im x.im)) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (* y.re y.re) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
* [misc]backup-simplify:  Simplify (/ (* y.im x.im) (+ (pow y.re 2) (pow y.im 2))) into (/ (* y.im x.im) (+ (pow y.re 2) (pow y.im 2)))
* [misc]taylor:  Taking taylor expansion of (/ (* y.im x.im) (+ (pow y.re 2) (pow y.im 2))) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.re 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im x.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ (* y.im x.im) (pow y.im 2)) into (/ x.im y.im)
* [misc]taylor:  Taking taylor expansion of (/ x.im y.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 y.re)) into y.re
* [misc]backup-simplify:  Simplify (+ (* x.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ y.re 0) into y.re
* [misc]backup-simplify:  Simplify (+ (* y.re 0) (* 0 y.re)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ y.re (+ (pow y.re 2) (pow y.im 2))) (+ (* (/ (* y.im x.im) (+ (pow y.re 2) (pow y.im 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into (/ y.re (+ (pow y.re 2) (pow y.im 2)))
* [misc]taylor:  Taking taylor expansion of (/ y.re (+ (pow y.re 2) (pow y.im 2))) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.re 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 x.im)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow y.im 2)) (+ (* (/ x.im y.im) (/ 0 (pow y.im 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y.re))) into 0
* [misc]backup-simplify:  Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (pow y.re 2) (pow y.im 2))) (+ (* (/ (* y.im x.im) (+ (pow y.re 2) (pow y.im 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))) (* (/ y.re (+ (pow y.re 2) (pow y.im 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (pow y.im 2)) (+ (* (/ x.im y.im) (/ 1 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into (- (/ x.im (pow y.im 3)))
* [misc]taylor:  Taking taylor expansion of (- (/ x.im (pow y.im 3))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ x.im (pow y.im 3)) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow y.im 3) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (* y.im (pow y.im 2)) into (pow y.im 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 3)) into (/ 1 (pow y.im 3))
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 y.im) (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in (x.re y.re x.im y.im) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in y.im
* [misc]taylor:  Taking taylor expansion of x.re in y.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (/ 1 x.re) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.im
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 x.im) 1) into (/ 1 x.im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 x.im)) into (/ 1 x.im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in x.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in x.im
* [misc]taylor:  Taking taylor expansion of x.re in x.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (/ 1 x.re) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.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 y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 y.im)) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 y.im)) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
* [misc]backup-simplify:  Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (/ (/ 1 y.im) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in y.re
* [misc]taylor:  Taking taylor expansion of x.re in y.re
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (/ 1 x.re) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* (/ 1 x.re) 1) into (/ 1 x.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 x.re) 0) into (/ 1 x.re)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 x.re) 1) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 y.re)) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
* [misc]backup-simplify:  Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 y.re)) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
* [misc]backup-simplify:  Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.re 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 y.re))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 x.im) (/ 1 y.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* y.im x.im))) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (* y.im x.im)) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (+ (* (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.re 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* x.im 1) into x.im
* [misc]backup-simplify:  Simplify (* y.im x.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (* 0 (/ 1 (pow y.im 2))) (+ (* 1 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 x.im) 0) (* 0 (/ 1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.re) 0) (+ (* 0 0) (* 0 (/ 1 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (* 0 (/ 1 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (+ (* (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.im 0) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 1) (* 0 0)) into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 (/ 1 (pow y.im 2))) (+ (* 0 0) (* 0 1)))) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (pow y.im 2))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.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 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) 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 y.re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 x.im) 0) (+ (* 0 0) (* 0 (/ 1 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y.re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (+ (* (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* x.im 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 x.im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 (pow y.im 2))) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in (x.re y.re x.im y.im) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- x.re) in y.im
* [misc]taylor:  Taking taylor expansion of x.re in y.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (/ 1 (- x.re)) into (/ -1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- x.im) in y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.im
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 x.im) -1) into (/ 1 x.im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 x.im)) into (/ 1 x.im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in x.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in x.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (- x.re) in x.im
* [misc]taylor:  Taking taylor expansion of x.re in x.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (/ 1 (- x.re)) into (/ -1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (- x.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.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 (- y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in x.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 y.im)) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 y.im)) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
* [misc]backup-simplify:  Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (/ (/ 1 y.im) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- x.re) in y.re
* [misc]taylor:  Taking taylor expansion of x.re in y.re
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (/ 1 (- x.re)) into (/ -1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- x.im) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* (/ -1 x.re) -1) into (/ 1 x.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 x.re) 0) into (/ 1 x.re)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 x.re) 1) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 y.re)) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
* [misc]backup-simplify:  Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 y.re)) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
* [misc]backup-simplify:  Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.re 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))))) 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 y.re))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 x.im) (/ -1 y.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* y.im x.im))) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (* y.im x.im)) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (+ (* (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.re 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* x.im 1) into x.im
* [misc]backup-simplify:  Simplify (* y.im x.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (* 0 (/ 1 (pow y.im 2))) (+ (* 1 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [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 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 x.im) (/ 0 (- x.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 x.im) 0) (* 0 (/ -1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.re) 0) (+ (* 0 0) (* 0 (/ -1 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.im) 0) (+ (* 0 0) (* 0 (/ -1 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (+ (* (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.im 0) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 1) (* 0 0)) into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 (/ 1 (pow y.im 2))) (+ (* 0 0) (* 0 1)))) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (pow y.im 2))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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 y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 x.im) (/ 0 (- x.im))) (* 0 (/ 0 (- x.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 x.im) 0) (+ (* 0 0) (* 0 (/ -1 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (+ (* (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* x.im 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 x.im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 (pow y.im 2))) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 2 / 2 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in (x.re y.re x.im y.im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in y.im
* [misc]taylor:  Taking taylor expansion of x.re in y.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.im
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in x.im
* [misc]taylor:  Taking taylor expansion of x.re in x.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in y.re
* [misc]taylor:  Taking taylor expansion of x.re in y.re
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* 0 y.re) into 0
* [misc]backup-simplify:  Simplify (* x.im y.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (+ 0 (* y.im x.im)) into (* y.im x.im)
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (* y.im x.im) into (* y.im x.im)
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.im 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 y.re)) into y.re
* [misc]backup-simplify:  Simplify (+ (* x.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ y.re 0) into y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 x.im)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 1) (* 0 0)) into y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y.re))) into 0
* [misc]backup-simplify:  Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in (x.re y.re x.im y.im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in y.im
* [misc]taylor:  Taking taylor expansion of x.re in y.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (/ 1 x.re) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.im
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in x.im
* [misc]taylor:  Taking taylor expansion of x.re in x.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (/ 1 x.re) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.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 y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in y.re
* [misc]taylor:  Taking taylor expansion of x.re in y.re
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (/ 1 x.re) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 y.re)) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 y.re))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 x.im) (/ 1 y.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* y.im x.im))) into (/ 1 (* y.im x.im))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (* y.im x.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 x.im) 0) (* 0 (/ 1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.im 0) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 1) (* 0 0)) into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) 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 y.re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 x.im) 0) (+ (* 0 0) (* 0 (/ 1 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 x.im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) 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 y.re)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 x.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [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]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.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 (* 1 (* 1 (* (/ 1 (/ 1 y.re)) (/ 1 (/ 1 x.re)))))) (* 1 (* (/ 1 (/ 1 y.im)) (* (/ 1 (/ 1 x.im)) (* 1 1))))) into (+ (* y.im x.im) (* y.re x.re))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in (x.re y.re x.im y.im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- x.re) in y.im
* [misc]taylor:  Taking taylor expansion of x.re in y.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (/ 1 (- x.re)) into (/ -1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- x.im) in y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.im
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in x.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (- x.re) in x.im
* [misc]taylor:  Taking taylor expansion of x.re in x.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (/ 1 (- x.re)) into (/ -1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (- x.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.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 (- y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- x.re) in y.re
* [misc]taylor:  Taking taylor expansion of x.re in y.re
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (/ 1 (- x.re)) into (/ -1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- x.im) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 y.re)) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))))) 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 y.re))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 x.im) (/ -1 y.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* y.im x.im))) into (/ 1 (* y.im x.im))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (* y.im x.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [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 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 x.im) (/ 0 (- x.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 x.im) 0) (* 0 (/ -1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.im 0) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 1) (* 0 0)) into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.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 (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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 y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 x.im) (/ 0 (- x.im))) (* 0 (/ 0 (- x.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 x.im) 0) (+ (* 0 0) (* 0 (/ -1 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 x.im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 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 (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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 y.re)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 x.im) (/ 0 (- x.im))) (* 0 (/ 0 (- x.im))) (* 0 (/ 0 (- x.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 x.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [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]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.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 (* 1 (* 1 (* (/ 1 (/ 1 (- y.re))) (/ 1 (/ 1 (- x.re))))))) (* 1 (* (/ 1 (/ 1 (- y.im))) (* (/ 1 (/ 1 (- x.im))) (* 1 1))))) into (+ (* y.im x.im) (* y.re x.re))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (pow (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) 1))>
* * * * [misc]progress:  [ 2 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (exp (- (log (+ (* x.re y.re) (* x.im y.im))) (log (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (- (log (+ (* x.re y.re) (* x.im y.im))) (log (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 0
* * [misc]simplify:  Extracting #5: cost 8 inf + 87
* * [misc]simplify:  Extracting #6: cost 1 inf + 1034
* * [misc]simplify:  Extracting #7: cost 0 inf + 1458
* [exit]simplify:  Simplified to (- (log (+ (* x.im y.im) (* x.re y.re))) (log (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (exp (- (log (+ (* x.im y.im) (* x.re y.re))) (log (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 3 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (exp (log (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 4 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (log (exp (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 5 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (cbrt (/ (* (* (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im))) (* (* (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (/ (* (* (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im))) (* (* (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (232 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 30 inf + 0
* * [misc]simplify:  Extracting #2: cost 82 inf + 1
* * [misc]simplify:  Extracting #3: cost 224 inf + 1
* * [misc]simplify:  Extracting #4: cost 201 inf + 2822
* * [misc]simplify:  Extracting #5: cost 64 inf + 31502
* * [misc]simplify:  Extracting #6: cost 0 inf + 47815
* * [misc]simplify:  Extracting #7: cost 0 inf + 47455
* [exit]simplify:  Simplified to (* (* (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.im y.im) (* y.re y.re))) (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.im y.im) (* y.re y.re)))) (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.im y.im) (* y.re y.re))))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (cbrt (* (* (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.im y.im) (* y.re y.re))) (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.im y.im) (* y.re y.re)))) (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.im y.im) (* y.re y.re))))))
* * * * [misc]progress:  [ 6 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (* (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 7 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (cbrt (* (* (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 8 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 9 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (- (+ (* x.re y.re) (* x.im y.im))) (- (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 10 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 16 inf + 0
* * [misc]simplify:  Extracting #4: cost 20 inf + 0
* * [misc]simplify:  Extracting #5: cost 12 inf + 250
* * [misc]simplify:  Extracting #6: cost 4 inf + 2436
* * [misc]simplify:  Extracting #7: cost 0 inf + 4132
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* y.im y.im) (* y.re y.re)))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* y.im y.im) (* y.re y.re)))))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (* (* (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* y.im y.im) (* y.re y.re)))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* y.im y.im) (* y.re y.re))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 13 inf + 0
* * [misc]simplify:  Extracting #5: cost 7 inf + 87
* * [misc]simplify:  Extracting #6: cost 1 inf + 822
* * [misc]simplify:  Extracting #7: cost 0 inf + 1266
* [exit]simplify:  Simplified to (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (* (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 11 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 16 inf + 0
* * [misc]simplify:  Extracting #5: cost 8 inf + 250
* * [misc]simplify:  Extracting #6: cost 4 inf + 782
* * [misc]simplify:  Extracting #7: cost 0 inf + 2278
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.im y.im) (* y.re y.re)))) (cbrt (+ (* x.im y.im) (* x.re y.re))))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (* (* (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.im y.im) (* y.re y.re)))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 13 inf + 0
* * [misc]simplify:  Extracting #5: cost 7 inf + 87
* * [misc]simplify:  Extracting #6: cost 1 inf + 782
* * [misc]simplify:  Extracting #7: cost 0 inf + 1186
* [exit]simplify:  Simplified to (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (* (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 12 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) 1) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 10 inf + 1
* * [misc]simplify:  Extracting #5: cost 5 inf + 47
* * [misc]simplify:  Extracting #6: cost 4 inf + 89
* * [misc]simplify:  Extracting #7: cost 3 inf + 213
* * [misc]simplify:  Extracting #8: cost 0 inf + 906
* [exit]simplify:  Simplified to (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re))))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (* (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (+ (* y.re y.re) (* y.im y.im)))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (+ (* y.re y.re) (* y.im y.im)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 206
* * [misc]simplify:  Extracting #5: cost 4 inf + 250
* * [misc]simplify:  Extracting #6: cost 0 inf + 984
* [exit]simplify:  Simplified to (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (+ (* y.re y.re) (* y.im y.im)))
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (* (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 13 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 15 inf + 0
* * [misc]simplify:  Extracting #5: cost 9 inf + 87
* * [misc]simplify:  Extracting #6: cost 3 inf + 782
* * [misc]simplify:  Extracting #7: cost 0 inf + 1872
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (* (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 13 inf + 0
* * [misc]simplify:  Extracting #5: cost 7 inf + 87
* * [misc]simplify:  Extracting #6: cost 1 inf + 782
* * [misc]simplify:  Extracting #7: cost 0 inf + 1186
* [exit]simplify:  Simplified to (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (* (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 14 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 13 inf + 0
* * [misc]simplify:  Extracting #5: cost 7 inf + 87
* * [misc]simplify:  Extracting #6: cost 1 inf + 742
* * [misc]simplify:  Extracting #7: cost 0 inf + 1106
* [exit]simplify:  Simplified to (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (* (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 13 inf + 0
* * [misc]simplify:  Extracting #5: cost 7 inf + 87
* * [misc]simplify:  Extracting #6: cost 1 inf + 742
* * [misc]simplify:  Extracting #7: cost 0 inf + 1106
* [exit]simplify:  Simplified to (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (* (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 15 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) 1) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 8 inf + 1
* * [misc]simplify:  Extracting #4: cost 3 inf + 47
* * [misc]simplify:  Extracting #5: cost 0 inf + 377
* [exit]simplify:  Simplified to (sqrt (+ (* x.im y.im) (* x.re y.re)))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (* (sqrt (+ (* x.im y.im) (* x.re y.re))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (+ (* y.re y.re) (* y.im y.im)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (+ (* y.re y.re) (* y.im y.im)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 206
* * [misc]simplify:  Extracting #5: cost 4 inf + 250
* * [misc]simplify:  Extracting #6: cost 0 inf + 904
* [exit]simplify:  Simplified to (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (+ (* y.re y.re) (* y.im y.im)))
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (* (sqrt (+ (* x.im y.im) (* x.re y.re))) (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 16 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 7 inf + 1
* * [misc]simplify:  Extracting #4: cost 9 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 1177
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
* [enter]simplify:  Simplifying (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 452
* * [misc]simplify:  Extracting #5: cost 0 inf + 982
* [exit]simplify:  Simplified to (/ (+ (* x.im y.im) (* x.re y.re)) (cbrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.im y.im) (* x.re y.re)) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 17 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 572
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* [enter]simplify:  Simplifying (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 412
* * [misc]simplify:  Extracting #5: cost 0 inf + 902
* [exit]simplify:  Simplified to (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 18 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 1) (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (* 1 (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))))
* [enter]simplify:  Simplifying (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 250
* * [misc]simplify:  Extracting #5: cost 0 inf + 700
* [exit]simplify:  Simplified to (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im)))
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (* 1 (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 19 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* 1 (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 20 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 21 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ 1 (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* x.re y.re) (* x.im y.im)))))>
* * * * [misc]progress:  [ 22 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (cbrt (+ (* y.re y.re) (* y.im y.im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 408
* [exit]simplify:  Simplified to (cbrt (+ (* y.re y.re) (* y.im y.im)))
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 23 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* y.re y.re) (* y.im y.im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 368
* [exit]simplify:  Simplified to (sqrt (+ (* y.re y.re) (* y.im y.im)))
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 24 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) 1) (+ (* y.re y.re) (* y.im y.im))))>
* [enter]simplify:  Simplifying (+ (* y.re y.re) (* y.im y.im))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 206
* [exit]simplify:  Simplified to (+ (* y.re y.re) (* y.im y.im))
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) 1) (+ (* y.re y.re) (* y.im y.im))))
* * * * [misc]progress:  [ 25 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (/ (+ (* y.re y.re) (* y.im y.im)) (cbrt (+ (* x.re y.re) (* x.im y.im))))))>
* [enter]simplify:  Simplifying (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 0
* * [misc]simplify:  Extracting #4: cost 9 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 46
* * [misc]simplify:  Extracting #6: cost 0 inf + 660
* [exit]simplify:  Simplified to (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re))))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (/ (+ (* y.re y.re) (* y.im y.im)) (cbrt (+ (* x.re y.re) (* x.im y.im))))))
* * * * [misc]progress:  [ 26 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (/ (+ (* y.re y.re) (* y.im y.im)) (sqrt (+ (* x.re y.re) (* x.im y.im))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* x.re y.re) (* x.im y.im)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 46
* * [misc]simplify:  Extracting #5: cost 0 inf + 376
* [exit]simplify:  Simplified to (sqrt (+ (* x.im y.im) (* x.re y.re)))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (/ (+ (* y.re y.re) (* y.im y.im)) (sqrt (+ (* x.re y.re) (* x.im y.im))))))
* * * * [misc]progress:  [ 27 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ 1 (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* x.re y.re) (* x.im y.im)))))>
* * * * [misc]progress:  [ 28 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ (+ (* x.re y.re) (* x.im y.im)) (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3))) (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (231 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 19 inf + 0
* * [misc]simplify:  Extracting #2: cost 99 inf + 0
* * [misc]simplify:  Extracting #3: cost 94 inf + 2316
* * [misc]simplify:  Extracting #4: cost 39 inf + 10421
* * [misc]simplify:  Extracting #5: cost 5 inf + 16009
* * [misc]simplify:  Extracting #6: cost 0 inf + 16619
* [exit]simplify:  Simplified to (+ (* (* y.im y.im) (- (* y.im y.im) (* y.re y.re))) (* (* y.re y.re) (* y.re y.re)))
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (* (/ (+ (* x.re y.re) (* x.im y.im)) (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3))) (+ (* (* y.im y.im) (- (* y.im y.im) (* y.re y.re))) (* (* y.re y.re) (* y.re y.re)))))
* * * * [misc]progress:  [ 29 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ (+ (* x.re y.re) (* x.im y.im)) (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im)))) (- (* y.re y.re) (* y.im y.im))))>
* [enter]simplify:  Simplifying (- (* y.re y.re) (* y.im y.im))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 19 inf + 0
* * [misc]simplify:  Extracting #3: cost 15 inf + 84
* * [misc]simplify:  Extracting #4: cost 3 inf + 946
* * [misc]simplify:  Extracting #5: cost 0 inf + 1192
* [exit]simplify:  Simplified to (* (+ y.re y.im) (- y.re y.im))
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (* (/ (+ (* x.re y.re) (* x.im y.im)) (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im)))) (* (+ y.re y.im) (- y.re y.im))))
* * * * [misc]progress:  [ 30 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (* (+ (* y.re y.re) (* y.im y.im)) (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))))))>
* [enter]simplify:  Simplifying (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 32 inf + 0
* * [misc]simplify:  Extracting #3: cost 24 inf + 168
* * [misc]simplify:  Extracting #4: cost 1 inf + 2742
* * [misc]simplify:  Extracting #5: cost 0 inf + 2573
* [exit]simplify:  Simplified to (+ (* (* (* x.im y.im) (* x.im y.im)) (* x.im y.im)) (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (/ (+ (* (* (* x.im y.im) (* x.im y.im)) (* x.im y.im)) (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re)))) (* (+ (* y.re y.re) (* y.im y.im)) (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))))))
* * * * [misc]progress:  [ 31 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (* (+ (* y.re y.re) (* y.im y.im)) (- (* x.re y.re) (* x.im y.im)))))>
* [enter]simplify:  Simplifying (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (180 enodes)
* * [misc]simplify:  iters left: 1 (339 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 20 inf + 0
* * [misc]simplify:  Extracting #2: cost 92 inf + 0
* * [misc]simplify:  Extracting #3: cost 98 inf + 373
* * [misc]simplify:  Extracting #4: cost 52 inf + 5368
* * [misc]simplify:  Extracting #5: cost 9 inf + 14448
* * [misc]simplify:  Extracting #6: cost 0 inf + 16804
* [exit]simplify:  Simplified to (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (* (+ (* y.re y.re) (* y.im y.im)) (- (* x.re y.re) (* x.im y.im)))))
* * * * [misc]progress:  [ 32 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (log (* (exp (* x.re y.re)) (exp (* x.im y.im)))) (+ (* y.re y.re) (* y.im y.im))))>
* [enter]simplify:  Simplifying (* (exp (* x.re y.re)) (exp (* x.im y.im)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 2
* * [misc]simplify:  Extracting #4: cost 5 inf + 229
* * [misc]simplify:  Extracting #5: cost 0 inf + 842
* * [misc]simplify:  Extracting #6: cost 0 inf + 772
* [exit]simplify:  Simplified to (exp (+ (* x.re y.re) (* x.im y.im)))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (log (exp (+ (* x.re y.re) (* x.im y.im)))) (+ (* y.re y.re) (* y.im y.im))))
* * * * [misc]progress:  [ 33 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) (+ (* y.re y.re) (* y.im y.im))))>
* * * * [misc]progress:  [ 34 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (exp (log (+ (* x.re y.re) (* x.im y.im)))) (+ (* y.re y.re) (* y.im y.im))))>
* * * * [misc]progress:  [ 35 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (log (exp (+ (* x.re y.re) (* x.im y.im)))) (+ (* y.re y.re) (* y.im y.im))))>
* * * * [misc]progress:  [ 36 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (+ (* y.re y.re) (* y.im y.im))))>
* * * * [misc]progress:  [ 37 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (cbrt (* (* (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))) (+ (* y.re y.re) (* y.im y.im))))>
* * * * [misc]progress:  [ 38 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* x.re y.re) (* x.im y.im)))) (+ (* y.re y.re) (* y.im y.im))))>
* * * * [misc]progress:  [ 39 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im))))) (+ (* y.re y.re) (* y.im y.im))))>
* * * * [misc]progress:  [ 40 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* 1 (+ (* x.re y.re) (* x.im y.im))) (+ (* y.re y.re) (* y.im y.im))))>
* * * * [misc]progress:  [ 41 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (- (* x.re y.re) (* x.im y.im))) (+ (* y.re y.re) (* y.im y.im))))>
* * * * [misc]progress:  [ 42 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))>
* * * * [misc]progress:  [ 43 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2) to (λ (x.re x.im y.re y.im) 0)
* * * * [misc]progress:  [ 44 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2) to (λ (x.re x.im y.re y.im) 0)
* * * * [misc]progress:  [ 45 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2) to (λ (x.re x.im y.re y.im) 0)
* * * * [misc]progress:  [ 46 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ 0 (+ (* y.re y.re) (* y.im y.im))))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (/ 0 (+ (* y.re y.re) (* y.im y.im))))
* * * * [misc]progress:  [ 47 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (+ (* y.im x.im) (* y.re x.re)) (+ (* y.re y.re) (* y.im y.im))))>
* [enter]simplify:  Simplifying (+ (* y.im x.im) (* y.re x.re))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 46
* * [misc]simplify:  Extracting #4: cost 0 inf + 212
* [exit]simplify:  Simplified to (+ (* y.re x.re) (* y.im x.im))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (/ (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im))))
* * * * [misc]progress:  [ 48 / 48 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (+ (* y.im x.im) (* y.re x.re)) (+ (* y.re y.re) (* y.im y.im))))>
* [enter]simplify:  Simplifying (+ (* y.im x.im) (* y.re x.re))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 46
* * [misc]simplify:  Extracting #4: cost 0 inf + 212
* [exit]simplify:  Simplified to (+ (* y.re x.re) (* y.im x.im))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (/ (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in (y.re y.im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.re y.re) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow y.re 2)) into y.re
* [misc]backup-simplify:  Simplify (+ (* y.re 0) (* 0 y.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 y.re 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow y.im 2)) into y.im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow y.im 2)) into y.im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of y.im in y.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 y.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 (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of 1/2 in y.im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y.im))))) (* 2 y.im)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.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 (* y.im 1)) into y.im
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in (y.re y.im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* 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 (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* 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 y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in y.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 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im
* [misc]taylor:  Taking taylor expansion of 1/2 in y.im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 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 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 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 y.re)))) into y.re
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in (y.re y.im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* -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 (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* -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 y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in y.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 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im
* [misc]taylor:  Taking taylor expansion of 1/2 in y.im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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 (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 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 (- y.re))))) into (* -1 y.re)
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in (y.re y.im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.re y.re) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow y.re 2)) into y.re
* [misc]backup-simplify:  Simplify (+ (* y.re 0) (* 0 y.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 y.re 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow y.im 2)) into y.im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow y.im 2)) into y.im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of y.im in y.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 y.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 (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of 1/2 in y.im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y.im))))) (* 2 y.im)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.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 (* y.im 1)) into y.im
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in (y.re y.im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* 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 (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* 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 y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in y.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 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im
* [misc]taylor:  Taking taylor expansion of 1/2 in y.im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 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 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 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 y.re)))) into y.re
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in (y.re y.im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* -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 (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* -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 y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in y.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 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im
* [misc]taylor:  Taking taylor expansion of 1/2 in y.im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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 (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 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 (- y.re))))) into (* -1 y.re)
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) in (x.re y.re x.im y.im) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in y.im
* [misc]taylor:  Taking taylor expansion of x.re in y.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.im
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.re y.re) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow y.re 2)) into y.re
* [misc]backup-simplify:  Simplify (+ (* y.re 0) (* 0 y.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 y.re 2)))) into 0
* [misc]backup-simplify:  Simplify (* x.re y.re) into (* y.re x.re)
* [misc]backup-simplify:  Simplify (* x.im 0) into 0
* [misc]backup-simplify:  Simplify (+ (* y.re x.re) 0) into (* y.re x.re)
* [misc]backup-simplify:  Simplify (/ (* y.re x.re) y.re) into x.re
* [misc]taylor:  Taking taylor expansion of (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) in x.im
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in x.im
* [misc]taylor:  Taking taylor expansion of x.re in x.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.re y.re) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow y.re 2) (pow y.im 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
* [misc]backup-simplify:  Simplify (+ (* y.re 0) (* 0 y.re)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow y.re 2) (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (* x.re y.re) into (* y.re x.re)
* [misc]backup-simplify:  Simplify (* 0 y.im) into 0
* [misc]backup-simplify:  Simplify (+ (* y.re x.re) 0) into (* y.re x.re)
* [misc]backup-simplify:  Simplify (/ (* y.re x.re) (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (* (* y.re x.re) (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in y.re
* [misc]taylor:  Taking taylor expansion of x.re in y.re
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow y.im 2)) into y.im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
* [misc]backup-simplify:  Simplify (* x.re 0) into 0
* [misc]backup-simplify:  Simplify (* x.im y.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (+ 0 (* y.im x.im)) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (/ (* y.im x.im) y.im) into x.im
* [misc]taylor:  Taking taylor expansion of (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.re y.re) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow y.re 2) (pow y.im 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
* [misc]backup-simplify:  Simplify (+ (* y.re 0) (* 0 y.re)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow y.re 2) (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (* 0 y.re) into 0
* [misc]backup-simplify:  Simplify (* x.im y.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (+ 0 (* y.im x.im)) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (/ (* y.im x.im) (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (* (* y.im x.im) (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.re y.re) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow y.re 2) (pow y.im 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
* [misc]backup-simplify:  Simplify (+ (* y.re 0) (* 0 y.re)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow y.re 2) (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (* 0 y.re) into 0
* [misc]backup-simplify:  Simplify (* x.im y.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (+ 0 (* y.im x.im)) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (/ (* y.im x.im) (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (* (* y.im x.im) (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))))
* [misc]taylor:  Taking taylor expansion of (* (* y.im x.im) (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (pow y.re 2) (pow y.im 2))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.re 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (* y.im x.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (* (* y.im x.im) (/ 1 y.im)) into x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 y.re)) into y.re
* [misc]backup-simplify:  Simplify (+ (* x.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ y.re 0) into y.re
* [misc]backup-simplify:  Simplify (- (/ y.re (sqrt (+ (pow y.re 2) (pow y.im 2)))) (+ (* (* (* y.im x.im) (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))) (/ 0 (sqrt (+ (pow y.re 2) (pow y.im 2))))))) into (* y.re (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))))
* [misc]taylor:  Taking taylor expansion of (* y.re (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (pow y.re 2) (pow y.im 2))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.re 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (* 0 (/ 1 y.im)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 x.im)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* y.im x.im) 0) (* 0 (/ 1 y.im))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y.re))) into 0
* [misc]backup-simplify:  Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y.re 2) (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (pow y.re 2) (pow y.im 2)))) (+ (* (* (* y.im x.im) (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))) (/ 0 (sqrt (+ (pow y.re 2) (pow y.im 2))))) (* (* y.re (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))) (/ 0 (sqrt (+ (pow y.re 2) (pow y.im 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (/ 1 y.im))) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 0 into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 1 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into (- (/ 1 (pow y.im 4)))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 (pow y.im 4))) (pow 0 2) (+)) (* 2 (/ 1 y.im))) into (/ -1/2 (pow y.im 3))
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* y.im x.im) (/ -1/2 (pow y.im 3))) (+ (* 0 0) (* 0 (/ 1 y.im)))) into (- (* 1/2 (/ x.im (pow y.im 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ x.im (pow y.im 2)))) in x.im
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ x.im (pow y.im 2))) in x.im
* [misc]taylor:  Taking taylor expansion of 1/2 in x.im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ x.im (pow y.im 2)) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (* x.im (* 1 1)))) into x.im
* [misc]approximate:  Taking taylor expansion of (/ (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))) in (x.re y.re x.im y.im) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in y.im
* [misc]taylor:  Taking taylor expansion of x.re in y.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (/ 1 x.re) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.im
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (* (/ 1 x.im) 1) into (/ 1 x.im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 x.im)) into (/ 1 x.im)
* [misc]backup-simplify:  Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))) in x.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in x.im
* [misc]taylor:  Taking taylor expansion of x.re in x.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (/ 1 x.re) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.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 y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in x.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
* [misc]backup-simplify:  Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into 0
* [misc]backup-simplify:  Simplify (* 1 (/ 1 y.im)) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 y.im)) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (/ (/ 1 y.im) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) into (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in y.re
* [misc]taylor:  Taking taylor expansion of x.re in y.re
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (/ 1 x.re) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* 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 (* (/ 1 x.re) 1) into (/ 1 x.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 x.re) 0) into (/ 1 x.re)
* [misc]backup-simplify:  Simplify (/ (/ 1 x.re) 1) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
* [misc]backup-simplify:  Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into 0
* [misc]backup-simplify:  Simplify (* 1 (/ 1 y.re)) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (/ (/ 1 y.re) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) into (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
* [misc]backup-simplify:  Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into 0
* [misc]backup-simplify:  Simplify (* 1 (/ 1 y.re)) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (/ (/ 1 y.re) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) into (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.re 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 y.re))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 x.im) (/ 1 y.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* y.im x.im))) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (* y.im x.im)) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (+ (* (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))))) into (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (* y.im x.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.re 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 x.im) 0) (* 0 (/ 1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.re) 0) (+ (* 0 0) (* 0 (/ 1 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (* 0 (/ 1 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (+ (* (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (* (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (* y.im x.im)) 1) into (/ 1 (* y.im x.im))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.im 0) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 1) (* 0 0)) into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 (pow y.im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y.im 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ -1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (/ 1 (pow y.im 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 (pow y.im 2)))) in x.im
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (pow y.im 2))) in x.im
* [misc]taylor:  Taking taylor expansion of 1/2 in x.im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.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 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) 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 y.re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 x.im) 0) (+ (* 0 0) (* 0 (/ 1 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y.re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (+ (* (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (* (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 x.im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (* y.im x.im)) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y.im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 (/ -1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 x.re)))))) into x.re
* [misc]approximate:  Taking taylor expansion of (/ (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))))) in (x.re y.re x.im y.im) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- x.re) in y.im
* [misc]taylor:  Taking taylor expansion of x.re in y.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (/ 1 (- x.re)) into (/ -1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- x.im) in y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.im
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (* (/ -1 x.im) -1) into (/ 1 x.im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 x.im)) into (/ 1 x.im)
* [misc]backup-simplify:  Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))))) in x.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in x.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (- x.re) in x.im
* [misc]taylor:  Taking taylor expansion of x.re in x.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (/ 1 (- x.re)) into (/ -1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (- x.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.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 (- y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in x.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in x.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
* [misc]backup-simplify:  Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into 0
* [misc]backup-simplify:  Simplify (* -1 (/ -1 y.im)) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 y.im)) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (/ (/ 1 y.im) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) into (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- x.re) in y.re
* [misc]taylor:  Taking taylor expansion of x.re in y.re
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (/ 1 (- x.re)) into (/ -1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- x.im) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* -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 (* (/ -1 x.re) -1) into (/ 1 x.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 x.re) 0) into (/ 1 x.re)
* [misc]backup-simplify:  Simplify (/ (/ 1 x.re) 1) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
* [misc]backup-simplify:  Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into 0
* [misc]backup-simplify:  Simplify (* -1 (/ -1 y.re)) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (/ (/ 1 y.re) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) into (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
* [misc]backup-simplify:  Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into 0
* [misc]backup-simplify:  Simplify (* -1 (/ -1 y.re)) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (/ (/ 1 y.re) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) into (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.re 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))))) 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 y.re))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 x.im) (/ -1 y.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* y.im x.im))) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (* y.im x.im)) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (+ (* (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))))) into (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (* y.im x.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.re 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [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 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 x.im) (/ 0 (- x.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 x.im) 0) (* 0 (/ -1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.re) 0) (+ (* 0 0) (* 0 (/ -1 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.im) 0) (+ (* 0 0) (* 0 (/ -1 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (+ (* (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (* (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (* y.im x.im)) 1) into (/ 1 (* y.im x.im))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.im 0) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 1) (* 0 0)) into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 (pow y.im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y.im 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ -1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (/ 1 (pow y.im 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 (pow y.im 2)))) in x.im
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (pow y.im 2))) in x.im
* [misc]taylor:  Taking taylor expansion of 1/2 in x.im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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 y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 x.im) (/ 0 (- x.im))) (* 0 (/ 0 (- x.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 x.im) 0) (+ (* 0 0) (* 0 (/ -1 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (+ (* (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (* (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 x.im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (* y.im x.im)) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y.im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 (/ -1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x.re))))))) into (* -1 x.re)
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in (x.re y.re x.im y.im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in y.im
* [misc]taylor:  Taking taylor expansion of x.re in y.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.im
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in x.im
* [misc]taylor:  Taking taylor expansion of x.re in x.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in y.re
* [misc]taylor:  Taking taylor expansion of x.re in y.re
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* 0 y.re) into 0
* [misc]backup-simplify:  Simplify (* x.im y.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (+ 0 (* y.im x.im)) into (* y.im x.im)
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (* y.im x.im) into (* y.im x.im)
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.im 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 y.re)) into y.re
* [misc]backup-simplify:  Simplify (+ (* x.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ y.re 0) into y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 x.im)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 1) (* 0 0)) into y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y.re))) into 0
* [misc]backup-simplify:  Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in (x.re y.re x.im y.im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in y.im
* [misc]taylor:  Taking taylor expansion of x.re in y.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (/ 1 x.re) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.im
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in x.im
* [misc]taylor:  Taking taylor expansion of x.re in x.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (/ 1 x.re) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.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 y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in y.re
* [misc]taylor:  Taking taylor expansion of x.re in y.re
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (/ 1 x.re) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 y.re)) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 y.re))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 x.im) (/ 1 y.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* y.im x.im))) into (/ 1 (* y.im x.im))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (* y.im x.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 x.im) 0) (* 0 (/ 1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.im 0) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 1) (* 0 0)) into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) 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 y.re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 x.im) 0) (+ (* 0 0) (* 0 (/ 1 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 x.im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) 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 y.re)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 x.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [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]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.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 (* 1 (* 1 (* (/ 1 (/ 1 y.re)) (/ 1 (/ 1 x.re)))))) (* 1 (* (/ 1 (/ 1 y.im)) (* (/ 1 (/ 1 x.im)) (* 1 1))))) into (+ (* y.im x.im) (* y.re x.re))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in (x.re y.re x.im y.im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- x.re) in y.im
* [misc]taylor:  Taking taylor expansion of x.re in y.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (/ 1 (- x.re)) into (/ -1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- x.im) in y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.im
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in x.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (- x.re) in x.im
* [misc]taylor:  Taking taylor expansion of x.re in x.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (/ 1 (- x.re)) into (/ -1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (- x.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.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 (- y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- x.re) in y.re
* [misc]taylor:  Taking taylor expansion of x.re in y.re
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (/ 1 (- x.re)) into (/ -1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- x.im) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 y.re)) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))))) 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 y.re))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 x.im) (/ -1 y.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* y.im x.im))) into (/ 1 (* y.im x.im))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (* y.im x.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [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 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 x.im) (/ 0 (- x.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 x.im) 0) (* 0 (/ -1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.im 0) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 1) (* 0 0)) into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.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 (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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 y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 x.im) (/ 0 (- x.im))) (* 0 (/ 0 (- x.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 x.im) 0) (+ (* 0 0) (* 0 (/ -1 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 x.im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 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 (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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 y.re)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 x.im) (/ 0 (- x.im))) (* 0 (/ 0 (- x.im))) (* 0 (/ 0 (- x.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 x.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [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]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.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 (* 1 (* 1 (* (/ 1 (/ 1 (- y.re))) (/ 1 (/ 1 (- x.re))))))) (* 1 (* (/ 1 (/ 1 (- y.im))) (* (/ 1 (/ 1 (- x.im))) (* 1 1))))) into (+ (* y.im x.im) (* y.re x.re))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (pow (+ (* y.re y.re) (* y.im y.im)) 1/2)))>
* * * * [misc]progress:  [ 2 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 1)))>
* * * * [misc]progress:  [ 3 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (exp (log (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>
* * * * [misc]progress:  [ 4 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (log (exp (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>
* * * * [misc]progress:  [ 5 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>
* * * * [misc]progress:  [ 6 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>
* * * * [misc]progress:  [ 7 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 0
* * [misc]simplify:  Extracting #4: cost 8 inf + 0
* * [misc]simplify:  Extracting #5: cost 5 inf + 43
* * [misc]simplify:  Extracting #6: cost 0 inf + 892
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))))
* * * * [misc]progress:  [ 8 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 43
* * [misc]simplify:  Extracting #6: cost 0 inf + 570
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))))
* * * * [misc]progress:  [ 9 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (sqrt 1) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 10 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3))) (sqrt (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 16 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 904
* * [misc]simplify:  Extracting #5: cost 1 inf + 1178
* * [misc]simplify:  Extracting #6: cost 0 inf + 1500
* [exit]simplify:  Simplified to (sqrt (+ (* (* y.re (* y.re y.re)) (* y.re (* y.re y.re))) (* (* y.im y.im) (* (* y.im y.im) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* (* y.re (* y.re y.re)) (* y.re (* y.re y.re))) (* (* y.im y.im) (* (* y.im y.im) (* y.im y.im))))) (sqrt (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im))))))))
* * * * [misc]progress:  [ 11 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im)))) (sqrt (- (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 48 inf + 0
* * [misc]simplify:  Extracting #3: cost 118 inf + 0
* * [misc]simplify:  Extracting #4: cost 119 inf + 1265
* * [misc]simplify:  Extracting #5: cost 31 inf + 15994
* * [misc]simplify:  Extracting #6: cost 0 inf + 22216
* [exit]simplify:  Simplified to (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im)))) (sqrt (- (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 12 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>
* * * * [misc]progress:  [ 13 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (fabs (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* y.re y.re) (* y.im y.im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 368
* [exit]simplify:  Simplified to (sqrt (+ (* y.re y.re) (* y.im y.im)))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (fabs (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 14 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 15 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (pow (+ (* y.re y.re) (* y.im y.im)) 1/2)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 16 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 1)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 17 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (exp (log (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 18 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (log (exp (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 19 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (* (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 20 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 21 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (* (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 0
* * [misc]simplify:  Extracting #4: cost 8 inf + 0
* * [misc]simplify:  Extracting #5: cost 5 inf + 43
* * [misc]simplify:  Extracting #6: cost 0 inf + 892
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (* (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 22 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 43
* * [misc]simplify:  Extracting #6: cost 0 inf + 570
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 23 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (* (sqrt 1) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (* 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 24 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (/ (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3))) (sqrt (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im))))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 16 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 904
* * [misc]simplify:  Extracting #5: cost 1 inf + 1178
* * [misc]simplify:  Extracting #6: cost 0 inf + 1500
* [exit]simplify:  Simplified to (sqrt (+ (* (* y.re (* y.re y.re)) (* y.re (* y.re y.re))) (* (* y.im y.im) (* (* y.im y.im) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (/ (sqrt (+ (* (* y.re (* y.re y.re)) (* y.re (* y.re y.re))) (* (* y.im y.im) (* (* y.im y.im) (* y.im y.im))))) (sqrt (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im))))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 25 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (/ (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im)))) (sqrt (- (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 48 inf + 0
* * [misc]simplify:  Extracting #3: cost 118 inf + 0
* * [misc]simplify:  Extracting #4: cost 119 inf + 1265
* * [misc]simplify:  Extracting #5: cost 31 inf + 15994
* * [misc]simplify:  Extracting #6: cost 0 inf + 22216
* [exit]simplify:  Simplified to (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (/ (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im)))) (sqrt (- (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 26 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 27 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (fabs (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* y.re y.re) (* y.im y.im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 368
* [exit]simplify:  Simplified to (sqrt (+ (* y.re y.re) (* y.im y.im)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (fabs (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 28 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (* 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 29 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (pow (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) 1) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 30 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (exp (- (log (+ (* x.re y.re) (* x.im y.im))) (log (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (- (log (+ (* x.re y.re) (* x.im y.im))) (log (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 15 inf + 0
* * [misc]simplify:  Extracting #5: cost 9 inf + 87
* * [misc]simplify:  Extracting #6: cost 3 inf + 772
* * [misc]simplify:  Extracting #7: cost 0 inf + 1740
* [exit]simplify:  Simplified to (- (log (+ (* x.im y.im) (* x.re y.re))) (log (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (exp (- (log (+ (* x.im y.im) (* x.re y.re))) (log (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 31 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (exp (log (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 32 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (log (exp (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 33 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (cbrt (/ (* (* (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im))) (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (/ (* (* (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im))) (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (162 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 30 inf + 0
* * [misc]simplify:  Extracting #2: cost 62 inf + 1
* * [misc]simplify:  Extracting #3: cost 153 inf + 1
* * [misc]simplify:  Extracting #4: cost 124 inf + 4058
* * [misc]simplify:  Extracting #5: cost 36 inf + 22229
* * [misc]simplify:  Extracting #6: cost 5 inf + 31779
* * [misc]simplify:  Extracting #7: cost 0 inf + 33677
* [exit]simplify:  Simplified to (/ (* (* (+ (* x.im y.im) (* x.re y.re)) (+ (* x.im y.im) (* x.re y.re))) (+ (* x.im y.im) (* x.re y.re))) (* (+ (* y.im y.im) (* y.re y.re)) (sqrt (+ (* y.im y.im) (* y.re y.re)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (cbrt (/ (* (* (+ (* x.im y.im) (* x.re y.re)) (+ (* x.im y.im) (* x.re y.re))) (+ (* x.im y.im) (* x.re y.re))) (* (+ (* y.im y.im) (* y.re y.re)) (sqrt (+ (* y.im y.im) (* y.re y.re)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 34 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (* (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 35 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (cbrt (* (* (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 36 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 37 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (- (+ (* x.re y.re) (* x.im y.im))) (- (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 38 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 15 inf + 0
* * [misc]simplify:  Extracting #4: cost 21 inf + 0
* * [misc]simplify:  Extracting #5: cost 14 inf + 208
* * [misc]simplify:  Extracting #6: cost 10 inf + 696
* * [misc]simplify:  Extracting #7: cost 6 inf + 1790
* * [misc]simplify:  Extracting #8: cost 0 inf + 4614
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.im y.im) (* y.re y.re))))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.im y.im) (* y.re y.re))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (* (* (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.im y.im) (* y.re y.re))))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.im y.im) (* y.re y.re)))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 0
* * [misc]simplify:  Extracting #5: cost 8 inf + 87
* * [misc]simplify:  Extracting #6: cost 2 inf + 782
* * [misc]simplify:  Extracting #7: cost 0 inf + 1508
* [exit]simplify:  Simplified to (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (* (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 39 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 18 inf + 0
* * [misc]simplify:  Extracting #5: cost 10 inf + 250
* * [misc]simplify:  Extracting #6: cost 4 inf + 1306
* * [misc]simplify:  Extracting #7: cost 0 inf + 3042
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (fabs (cbrt (+ (* y.im y.im) (* y.re y.re)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (* (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (fabs (cbrt (+ (* y.im y.im) (* y.re y.re))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 0
* * [misc]simplify:  Extracting #5: cost 8 inf + 87
* * [misc]simplify:  Extracting #6: cost 2 inf + 822
* * [misc]simplify:  Extracting #7: cost 0 inf + 1548
* [exit]simplify:  Simplified to (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (* (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (fabs (cbrt (+ (* y.im y.im) (* y.re y.re))))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 40 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 17 inf + 0
* * [misc]simplify:  Extracting #5: cost 9 inf + 250
* * [misc]simplify:  Extracting #6: cost 3 inf + 1428
* * [misc]simplify:  Extracting #7: cost 0 inf + 2600
* [exit]simplify:  Simplified to (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.im y.im) (* y.re y.re)))) (cbrt (+ (* x.im y.im) (* x.re y.re)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (* (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.im y.im) (* y.re y.re)))) (cbrt (+ (* x.im y.im) (* x.re y.re))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 0
* * [misc]simplify:  Extracting #5: cost 8 inf + 87
* * [misc]simplify:  Extracting #6: cost 2 inf + 782
* * [misc]simplify:  Extracting #7: cost 0 inf + 1428
* [exit]simplify:  Simplified to (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (* (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 41 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt 1)) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 10 inf + 1
* * [misc]simplify:  Extracting #5: cost 6 inf + 5
* * [misc]simplify:  Extracting #6: cost 3 inf + 213
* * [misc]simplify:  Extracting #7: cost 0 inf + 906
* [exit]simplify:  Simplified to (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (* (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 13 inf + 0
* * [misc]simplify:  Extracting #5: cost 7 inf + 87
* * [misc]simplify:  Extracting #6: cost 1 inf + 782
* * [misc]simplify:  Extracting #7: cost 0 inf + 1186
* [exit]simplify:  Simplified to (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (* (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 42 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 17 inf + 0
* * [misc]simplify:  Extracting #5: cost 9 inf + 250
* * [misc]simplify:  Extracting #6: cost 3 inf + 1428
* * [misc]simplify:  Extracting #7: cost 0 inf + 2600
* [exit]simplify:  Simplified to (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.im y.im) (* y.re y.re)))) (cbrt (+ (* x.im y.im) (* x.re y.re)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (* (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.im y.im) (* y.re y.re)))) (cbrt (+ (* x.im y.im) (* x.re y.re))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 0
* * [misc]simplify:  Extracting #5: cost 8 inf + 87
* * [misc]simplify:  Extracting #6: cost 2 inf + 782
* * [misc]simplify:  Extracting #7: cost 0 inf + 1428
* [exit]simplify:  Simplified to (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (* (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 43 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) 1) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 10 inf + 1
* * [misc]simplify:  Extracting #5: cost 5 inf + 47
* * [misc]simplify:  Extracting #6: cost 4 inf + 89
* * [misc]simplify:  Extracting #7: cost 3 inf + 213
* * [misc]simplify:  Extracting #8: cost 0 inf + 906
* [exit]simplify:  Simplified to (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (* (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 13 inf + 0
* * [misc]simplify:  Extracting #5: cost 7 inf + 87
* * [misc]simplify:  Extracting #6: cost 1 inf + 782
* * [misc]simplify:  Extracting #7: cost 0 inf + 1186
* [exit]simplify:  Simplified to (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (* (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 44 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 16 inf + 0
* * [misc]simplify:  Extracting #5: cost 10 inf + 87
* * [misc]simplify:  Extracting #6: cost 4 inf + 742
* * [misc]simplify:  Extracting #7: cost 1 inf + 1710
* * [misc]simplify:  Extracting #8: cost 0 inf + 2194
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (* (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 0
* * [misc]simplify:  Extracting #5: cost 8 inf + 87
* * [misc]simplify:  Extracting #6: cost 2 inf + 742
* * [misc]simplify:  Extracting #7: cost 0 inf + 1428
* [exit]simplify:  Simplified to (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (* (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 45 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 15 inf + 0
* * [misc]simplify:  Extracting #5: cost 9 inf + 87
* * [misc]simplify:  Extracting #6: cost 2 inf + 1024
* * [misc]simplify:  Extracting #7: cost 0 inf + 1710
* [exit]simplify:  Simplified to (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (* (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 0
* * [misc]simplify:  Extracting #5: cost 8 inf + 87
* * [misc]simplify:  Extracting #6: cost 2 inf + 782
* * [misc]simplify:  Extracting #7: cost 0 inf + 1468
* [exit]simplify:  Simplified to (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (* (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 46 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 0
* * [misc]simplify:  Extracting #5: cost 8 inf + 87
* * [misc]simplify:  Extracting #6: cost 2 inf + 742
* * [misc]simplify:  Extracting #7: cost 0 inf + 1348
* [exit]simplify:  Simplified to (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (* (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 0
* * [misc]simplify:  Extracting #5: cost 8 inf + 87
* * [misc]simplify:  Extracting #6: cost 2 inf + 742
* * [misc]simplify:  Extracting #7: cost 0 inf + 1348
* [exit]simplify:  Simplified to (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (* (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 47 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt 1)) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 8 inf + 1
* * [misc]simplify:  Extracting #4: cost 3 inf + 47
* * [misc]simplify:  Extracting #5: cost 0 inf + 377
* [exit]simplify:  Simplified to (sqrt (+ (* x.im y.im) (* x.re y.re)))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (* (sqrt (+ (* x.im y.im) (* x.re y.re))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 13 inf + 0
* * [misc]simplify:  Extracting #5: cost 7 inf + 87
* * [misc]simplify:  Extracting #6: cost 1 inf + 742
* * [misc]simplify:  Extracting #7: cost 0 inf + 1106
* [exit]simplify:  Simplified to (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (* (sqrt (+ (* x.im y.im) (* x.re y.re))) (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 48 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 0
* * [misc]simplify:  Extracting #5: cost 8 inf + 87
* * [misc]simplify:  Extracting #6: cost 2 inf + 742
* * [misc]simplify:  Extracting #7: cost 0 inf + 1348
* [exit]simplify:  Simplified to (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (* (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 0
* * [misc]simplify:  Extracting #5: cost 8 inf + 87
* * [misc]simplify:  Extracting #6: cost 2 inf + 742
* * [misc]simplify:  Extracting #7: cost 0 inf + 1348
* [exit]simplify:  Simplified to (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (* (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 49 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) 1) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 8 inf + 1
* * [misc]simplify:  Extracting #4: cost 3 inf + 47
* * [misc]simplify:  Extracting #5: cost 0 inf + 377
* [exit]simplify:  Simplified to (sqrt (+ (* x.im y.im) (* x.re y.re)))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (* (sqrt (+ (* x.im y.im) (* x.re y.re))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 13 inf + 0
* * [misc]simplify:  Extracting #5: cost 7 inf + 87
* * [misc]simplify:  Extracting #6: cost 1 inf + 742
* * [misc]simplify:  Extracting #7: cost 0 inf + 1106
* [exit]simplify:  Simplified to (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (* (sqrt (+ (* x.im y.im) (* x.re y.re))) (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 50 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (/ 1 (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 8 inf + 1
* * [misc]simplify:  Extracting #5: cost 10 inf + 1
* * [misc]simplify:  Extracting #6: cost 0 inf + 1499
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (* (/ 1 (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [enter]simplify:  Simplifying (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 8 inf + 46
* * [misc]simplify:  Extracting #5: cost 3 inf + 416
* * [misc]simplify:  Extracting #6: cost 1 inf + 820
* * [misc]simplify:  Extracting #7: cost 0 inf + 1224
* [exit]simplify:  Simplified to (/ (+ (* x.im y.im) (* x.re y.re)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (* (/ 1 (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* x.im y.im) (* x.re y.re)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 51 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (/ 1 (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 9 inf + 1
* * [misc]simplify:  Extracting #6: cost 0 inf + 1176
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (* (/ 1 (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [enter]simplify:  Simplifying (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 8 inf + 46
* * [misc]simplify:  Extracting #5: cost 3 inf + 416
* * [misc]simplify:  Extracting #6: cost 1 inf + 860
* * [misc]simplify:  Extracting #7: cost 0 inf + 1264
* [exit]simplify:  Simplified to (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (* (/ 1 (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 52 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 6 inf + 1
* * [misc]simplify:  Extracting #5: cost 8 inf + 1
* * [misc]simplify:  Extracting #6: cost 0 inf + 814
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (* (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [enter]simplify:  Simplifying (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 8 inf + 46
* * [misc]simplify:  Extracting #5: cost 3 inf + 416
* * [misc]simplify:  Extracting #6: cost 1 inf + 780
* * [misc]simplify:  Extracting #7: cost 0 inf + 1144
* [exit]simplify:  Simplified to (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (* (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 53 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (/ 1 (sqrt 1)) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (* 1 (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [enter]simplify:  Simplifying (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 412
* * [misc]simplify:  Extracting #5: cost 0 inf + 902
* [exit]simplify:  Simplified to (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (* 1 (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 54 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 6 inf + 1
* * [misc]simplify:  Extracting #5: cost 8 inf + 1
* * [misc]simplify:  Extracting #6: cost 0 inf + 814
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (* (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [enter]simplify:  Simplifying (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 8 inf + 46
* * [misc]simplify:  Extracting #5: cost 3 inf + 416
* * [misc]simplify:  Extracting #6: cost 1 inf + 780
* * [misc]simplify:  Extracting #7: cost 0 inf + 1144
* [exit]simplify:  Simplified to (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (* (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 55 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (/ 1 1) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (* 1 (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [enter]simplify:  Simplifying (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 412
* * [misc]simplify:  Extracting #5: cost 0 inf + 902
* [exit]simplify:  Simplified to (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (* 1 (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 56 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* 1 (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 57 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 58 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ 1 (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* x.re y.re) (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 59 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (/ (+ (* x.re y.re) (* x.im y.im)) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 43
* * [misc]simplify:  Extracting #6: cost 0 inf + 610
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (/ (/ (+ (* x.re y.re) (* x.im y.im)) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 60 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 43
* * [misc]simplify:  Extracting #6: cost 0 inf + 650
* [exit]simplify:  Simplified to (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 61 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 43
* * [misc]simplify:  Extracting #6: cost 0 inf + 570
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 62 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt 1)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* y.re y.re) (* y.im y.im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 368
* [exit]simplify:  Simplified to (sqrt (+ (* y.re y.re) (* y.im y.im)))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt 1)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 63 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 43
* * [misc]simplify:  Extracting #6: cost 0 inf + 570
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 64 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (/ (+ (* x.re y.re) (* x.im y.im)) 1) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* y.re y.re) (* y.im y.im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 368
* [exit]simplify:  Simplified to (sqrt (+ (* y.re y.re) (* y.im y.im)))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (/ (/ (+ (* x.re y.re) (* x.im y.im)) 1) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 65 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 0
* * [misc]simplify:  Extracting #4: cost 9 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 46
* * [misc]simplify:  Extracting #6: cost 0 inf + 660
* [exit]simplify:  Simplified to (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 66 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* x.re y.re) (* x.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* x.re y.re) (* x.im y.im)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 46
* * [misc]simplify:  Extracting #5: cost 0 inf + 376
* [exit]simplify:  Simplified to (sqrt (+ (* x.im y.im) (* x.re y.re)))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* x.re y.re) (* x.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 67 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ 1 (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* x.re y.re) (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 68 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3)))) (sqrt (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 20 inf + 0
* * [misc]simplify:  Extracting #3: cost 100 inf + 0
* * [misc]simplify:  Extracting #4: cost 97 inf + 2191
* * [misc]simplify:  Extracting #5: cost 25 inf + 14891
* * [misc]simplify:  Extracting #6: cost 1 inf + 16859
* * [misc]simplify:  Extracting #7: cost 0 inf + 16901
* [exit]simplify:  Simplified to (sqrt (+ (* (* y.im y.im) (* y.im y.im)) (* (- (* y.re y.re) (* y.im y.im)) (* y.re y.re))))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (* (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3)))) (sqrt (+ (* (* y.im y.im) (* y.im y.im)) (* (- (* y.re y.re) (* y.im y.im)) (* y.re y.re))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 69 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))) (sqrt (- (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (sqrt (- (* y.re y.re) (* y.im y.im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 30 inf + 0
* * [misc]simplify:  Extracting #3: cost 34 inf + 0
* * [misc]simplify:  Extracting #4: cost 27 inf + 288
* * [misc]simplify:  Extracting #5: cost 9 inf + 2724
* * [misc]simplify:  Extracting #6: cost 0 inf + 4302
* [exit]simplify:  Simplified to (sqrt (- (* y.re y.re) (* y.im y.im)))
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (* (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))) (sqrt (- (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 70 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 32 inf + 0
* * [misc]simplify:  Extracting #3: cost 24 inf + 168
* * [misc]simplify:  Extracting #4: cost 1 inf + 2742
* * [misc]simplify:  Extracting #5: cost 0 inf + 2573
* [exit]simplify:  Simplified to (+ (* (* (* x.im y.im) (* x.im y.im)) (* x.im y.im)) (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* (* (* x.im y.im) (* x.im y.im)) (* x.im y.im)) (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re)))) (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 71 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* x.re y.re) (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (180 enodes)
* * [misc]simplify:  iters left: 1 (339 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 20 inf + 0
* * [misc]simplify:  Extracting #2: cost 92 inf + 0
* * [misc]simplify:  Extracting #3: cost 98 inf + 373
* * [misc]simplify:  Extracting #4: cost 52 inf + 5368
* * [misc]simplify:  Extracting #5: cost 9 inf + 14448
* * [misc]simplify:  Extracting #6: cost 0 inf + 16804
* [exit]simplify:  Simplified to (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* x.re y.re) (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 72 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (log (* (exp (* x.re y.re)) (exp (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (* (exp (* x.re y.re)) (exp (* x.im y.im)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 2
* * [misc]simplify:  Extracting #4: cost 5 inf + 229
* * [misc]simplify:  Extracting #5: cost 0 inf + 842
* * [misc]simplify:  Extracting #6: cost 0 inf + 772
* [exit]simplify:  Simplified to (exp (+ (* x.re y.re) (* x.im y.im)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (x.re x.im y.re y.im) (/ (/ (log (exp (+ (* x.re y.re) (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 73 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 74 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (exp (log (+ (* x.re y.re) (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 75 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (log (exp (+ (* x.re y.re) (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 76 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (* (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 77 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (cbrt (* (* (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 78 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (* (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 79 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (/ (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 80 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (* 1 (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 81 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (- (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 82 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 83 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) y.im))>
* [enter]simplify:  Simplifying y.im
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to y.im
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) y.im))
* * * * [misc]progress:  [ 84 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) y.re))>
* [enter]simplify:  Simplifying y.re
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to y.re
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) y.re))
* * * * [misc]progress:  [ 85 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* -1 y.re)))>
* [enter]simplify:  Simplifying (* -1 y.re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 0 inf + 43
* [exit]simplify:  Simplified to (- y.re)
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (- y.re)))
* * * * [misc]progress:  [ 86 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) y.im) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying y.im
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to y.im
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) y.im) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 87 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) y.re) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying y.re
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to y.re
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) y.re) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 88 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (* -1 y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (* -1 y.re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 0 inf + 43
* [exit]simplify:  Simplified to (- y.re)
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (- y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 89 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying x.im
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to x.im
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 90 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ x.re (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying x.re
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to x.re
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (/ x.re (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 91 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* -1 x.re) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (* -1 x.re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 0 inf + 43
* [exit]simplify:  Simplified to (- x.re)
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (/ (- x.re) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 92 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ 0 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (/ 0 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 93 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (+ (* y.im x.im) (* y.re x.re))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 46
* * [misc]simplify:  Extracting #4: cost 0 inf + 212
* [exit]simplify:  Simplified to (+ (* y.re x.re) (* y.im x.im))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* y.re x.re) (* y.im x.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 94 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (+ (* y.im x.im) (* y.re x.re))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 46
* * [misc]simplify:  Extracting #4: cost 0 inf + 212
* [exit]simplify:  Simplified to (+ (* y.re x.re) (* y.im x.im))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* y.re x.re) (* y.im x.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in (y.re y.im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.re y.re) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow y.re 2)) into y.re
* [misc]backup-simplify:  Simplify (+ (* y.re 0) (* 0 y.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 y.re 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow y.im 2)) into y.im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow y.im 2)) into y.im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of y.im in y.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 y.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 (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of 1/2 in y.im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y.im))))) (* 2 y.im)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.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 (* y.im 1)) into y.im
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in (y.re y.im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* 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 (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* 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 y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in y.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 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im
* [misc]taylor:  Taking taylor expansion of 1/2 in y.im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 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 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 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 y.re)))) into y.re
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in (y.re y.im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* -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 (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* -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 y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in y.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 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im
* [misc]taylor:  Taking taylor expansion of 1/2 in y.im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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 (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 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 (- y.re))))) into (* -1 y.re)
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in (y.re y.im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.re y.re) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow y.re 2)) into y.re
* [misc]backup-simplify:  Simplify (+ (* y.re 0) (* 0 y.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 y.re 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow y.im 2)) into y.im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow y.im 2)) into y.im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
* [misc]taylor:  Taking taylor expansion of y.im in y.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 y.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 (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1/2 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of 1/2 in y.im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y.im))))) (* 2 y.im)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.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 (* y.im 1)) into y.im
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in (y.re y.im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* 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 (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* 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 y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in y.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 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im
* [misc]taylor:  Taking taylor expansion of 1/2 in y.im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 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 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 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 y.re)))) into y.re
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in (y.re y.im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* -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 (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* -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 y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in y.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 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im
* [misc]taylor:  Taking taylor expansion of 1/2 in y.im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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 (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 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 (- y.re))))) into (* -1 y.re)
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) in (x.re y.re x.im y.im) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in y.im
* [misc]taylor:  Taking taylor expansion of x.re in y.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.im
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.re y.re) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (sqrt (pow y.re 2)) into y.re
* [misc]backup-simplify:  Simplify (+ (* y.re 0) (* 0 y.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 y.re 2)))) into 0
* [misc]backup-simplify:  Simplify (* x.re y.re) into (* y.re x.re)
* [misc]backup-simplify:  Simplify (* x.im 0) into 0
* [misc]backup-simplify:  Simplify (+ (* y.re x.re) 0) into (* y.re x.re)
* [misc]backup-simplify:  Simplify (/ (* y.re x.re) y.re) into x.re
* [misc]taylor:  Taking taylor expansion of (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) in x.im
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in x.im
* [misc]taylor:  Taking taylor expansion of x.re in x.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.re y.re) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow y.re 2) (pow y.im 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
* [misc]backup-simplify:  Simplify (+ (* y.re 0) (* 0 y.re)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow y.re 2) (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (* x.re y.re) into (* y.re x.re)
* [misc]backup-simplify:  Simplify (* 0 y.im) into 0
* [misc]backup-simplify:  Simplify (+ (* y.re x.re) 0) into (* y.re x.re)
* [misc]backup-simplify:  Simplify (/ (* y.re x.re) (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (* (* y.re x.re) (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in y.re
* [misc]taylor:  Taking taylor expansion of x.re in y.re
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (sqrt (pow y.im 2)) into y.im
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
* [misc]backup-simplify:  Simplify (* x.re 0) into 0
* [misc]backup-simplify:  Simplify (* x.im y.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (+ 0 (* y.im x.im)) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (/ (* y.im x.im) y.im) into x.im
* [misc]taylor:  Taking taylor expansion of (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.re y.re) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow y.re 2) (pow y.im 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
* [misc]backup-simplify:  Simplify (+ (* y.re 0) (* 0 y.re)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow y.re 2) (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (* 0 y.re) into 0
* [misc]backup-simplify:  Simplify (* x.im y.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (+ 0 (* y.im x.im)) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (/ (* y.im x.im) (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (* (* y.im x.im) (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* y.re y.re) (* y.im y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.re y.re) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
* [misc]backup-simplify:  Simplify (sqrt (+ (pow y.re 2) (pow y.im 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
* [misc]backup-simplify:  Simplify (+ (* y.re 0) (* 0 y.re)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (pow y.re 2) (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (* 0 y.re) into 0
* [misc]backup-simplify:  Simplify (* x.im y.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (+ 0 (* y.im x.im)) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (/ (* y.im x.im) (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (* (* y.im x.im) (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))))
* [misc]taylor:  Taking taylor expansion of (* (* y.im x.im) (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (pow y.re 2) (pow y.im 2))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.re 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (* y.im x.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (* (* y.im x.im) (/ 1 y.im)) into x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 y.re)) into y.re
* [misc]backup-simplify:  Simplify (+ (* x.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ y.re 0) into y.re
* [misc]backup-simplify:  Simplify (- (/ y.re (sqrt (+ (pow y.re 2) (pow y.im 2)))) (+ (* (* (* y.im x.im) (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))) (/ 0 (sqrt (+ (pow y.re 2) (pow y.im 2))))))) into (* y.re (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))))
* [misc]taylor:  Taking taylor expansion of (* y.re (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (pow y.re 2) (pow y.im 2))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.re 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (* 0 (/ 1 y.im)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 x.im)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* y.im x.im) 0) (* 0 (/ 1 y.im))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y.re))) into 0
* [misc]backup-simplify:  Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y.re 2) (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (pow y.re 2) (pow y.im 2)))) (+ (* (* (* y.im x.im) (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))) (/ 0 (sqrt (+ (pow y.re 2) (pow y.im 2))))) (* (* y.re (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))) (/ 0 (sqrt (+ (pow y.re 2) (pow y.im 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (/ 1 y.im))) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 0 into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 1 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into (- (/ 1 (pow y.im 4)))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 (pow y.im 4))) (pow 0 2) (+)) (* 2 (/ 1 y.im))) into (/ -1/2 (pow y.im 3))
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* y.im x.im) (/ -1/2 (pow y.im 3))) (+ (* 0 0) (* 0 (/ 1 y.im)))) into (- (* 1/2 (/ x.im (pow y.im 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ x.im (pow y.im 2)))) in x.im
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ x.im (pow y.im 2))) in x.im
* [misc]taylor:  Taking taylor expansion of 1/2 in x.im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ x.im (pow y.im 2)) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (* x.im (* 1 1)))) into x.im
* [misc]approximate:  Taking taylor expansion of (/ (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))) in (x.re y.re x.im y.im) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in y.im
* [misc]taylor:  Taking taylor expansion of x.re in y.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (/ 1 x.re) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.im
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (* (/ 1 x.im) 1) into (/ 1 x.im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 x.im)) into (/ 1 x.im)
* [misc]backup-simplify:  Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))) in x.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in x.im
* [misc]taylor:  Taking taylor expansion of x.re in x.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (/ 1 x.re) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.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 y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in x.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
* [misc]backup-simplify:  Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into 0
* [misc]backup-simplify:  Simplify (* 1 (/ 1 y.im)) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 y.im)) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (/ (/ 1 y.im) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) into (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in y.re
* [misc]taylor:  Taking taylor expansion of x.re in y.re
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (/ 1 x.re) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* 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 (* (/ 1 x.re) 1) into (/ 1 x.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 x.re) 0) into (/ 1 x.re)
* [misc]backup-simplify:  Simplify (/ (/ 1 x.re) 1) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
* [misc]backup-simplify:  Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into 0
* [misc]backup-simplify:  Simplify (* 1 (/ 1 y.re)) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (/ (/ 1 y.re) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) into (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
* [misc]backup-simplify:  Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into 0
* [misc]backup-simplify:  Simplify (* 1 (/ 1 y.re)) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (/ (/ 1 y.re) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) into (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.re 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 y.re))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 x.im) (/ 1 y.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* y.im x.im))) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (* y.im x.im)) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (+ (* (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))))) into (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (* y.im x.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.re 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 x.im) 0) (* 0 (/ 1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.re) 0) (+ (* 0 0) (* 0 (/ 1 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (* 0 (/ 1 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (+ (* (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (* (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (* y.im x.im)) 1) into (/ 1 (* y.im x.im))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.im 0) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 1) (* 0 0)) into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 (pow y.im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y.im 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ -1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (/ 1 (pow y.im 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 (pow y.im 2)))) in x.im
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (pow y.im 2))) in x.im
* [misc]taylor:  Taking taylor expansion of 1/2 in x.im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.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 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) 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 y.re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 x.im) 0) (+ (* 0 0) (* 0 (/ 1 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y.re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (+ (* (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (* (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 x.im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (* y.im x.im)) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y.im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 (/ -1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 x.re)))))) into x.re
* [misc]approximate:  Taking taylor expansion of (/ (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))))) in (x.re y.re x.im y.im) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- x.re) in y.im
* [misc]taylor:  Taking taylor expansion of x.re in y.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (/ 1 (- x.re)) into (/ -1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- x.im) in y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.im
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (* (/ -1 x.im) -1) into (/ 1 x.im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 x.im)) into (/ 1 x.im)
* [misc]backup-simplify:  Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))))) in x.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in x.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (- x.re) in x.im
* [misc]taylor:  Taking taylor expansion of x.re in x.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (/ 1 (- x.re)) into (/ -1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (- x.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.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 (- y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in x.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in x.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
* [misc]backup-simplify:  Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into 0
* [misc]backup-simplify:  Simplify (* -1 (/ -1 y.im)) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 y.im)) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (/ (/ 1 y.im) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) into (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- x.re) in y.re
* [misc]taylor:  Taking taylor expansion of x.re in y.re
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (/ 1 (- x.re)) into (/ -1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- x.im) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* -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 (* (/ -1 x.re) -1) into (/ 1 x.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 x.re) 0) into (/ 1 x.re)
* [misc]backup-simplify:  Simplify (/ (/ 1 x.re) 1) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
* [misc]backup-simplify:  Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into 0
* [misc]backup-simplify:  Simplify (* -1 (/ -1 y.re)) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (/ (/ 1 y.re) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) into (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
* [misc]backup-simplify:  Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into 0
* [misc]backup-simplify:  Simplify (* -1 (/ -1 y.re)) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (/ (/ 1 y.re) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) into (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.re 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))))) 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 y.re))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 x.im) (/ -1 y.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* y.im x.im))) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (* y.im x.im)) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (+ (* (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))))) into (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (* y.im x.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.re 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [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 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 x.im) (/ 0 (- x.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 x.im) 0) (* 0 (/ -1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.re) 0) (+ (* 0 0) (* 0 (/ -1 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.im) 0) (+ (* 0 0) (* 0 (/ -1 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (+ (* (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (* (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (* y.im x.im)) 1) into (/ 1 (* y.im x.im))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.im 0) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 1) (* 0 0)) into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (/ (- (- (/ 1 (pow y.im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y.im 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ -1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (/ 1 (pow y.im 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 (pow y.im 2)))) in x.im
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 (pow y.im 2))) in x.im
* [misc]taylor:  Taking taylor expansion of 1/2 in x.im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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 y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 x.im) (/ 0 (- x.im))) (* 0 (/ 0 (- x.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 x.im) 0) (+ (* 0 0) (* 0 (/ -1 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (+ (* (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (* (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 x.im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (* y.im x.im)) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y.im 2)))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 (/ -1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x.re))))))) into (* -1 x.re)
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in (x.re y.re x.im y.im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in y.im
* [misc]taylor:  Taking taylor expansion of x.re in y.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.im
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in x.im
* [misc]taylor:  Taking taylor expansion of x.re in x.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in y.re
* [misc]taylor:  Taking taylor expansion of x.re in y.re
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* 0 y.re) into 0
* [misc]backup-simplify:  Simplify (* x.im y.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (+ 0 (* y.im x.im)) into (* y.im x.im)
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (* y.im x.im) into (* y.im x.im)
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.im 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 y.re)) into y.re
* [misc]backup-simplify:  Simplify (+ (* x.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ y.re 0) into y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 x.im)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 1) (* 0 0)) into y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y.re))) into 0
* [misc]backup-simplify:  Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in (x.re y.re x.im y.im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in y.im
* [misc]taylor:  Taking taylor expansion of x.re in y.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (/ 1 x.re) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.im
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in x.im
* [misc]taylor:  Taking taylor expansion of x.re in x.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (/ 1 x.re) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.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 y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in y.re
* [misc]taylor:  Taking taylor expansion of x.re in y.re
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (/ 1 x.re) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 y.re)) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 y.re))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 x.im) (/ 1 y.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* y.im x.im))) into (/ 1 (* y.im x.im))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (* y.im x.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 x.im) 0) (* 0 (/ 1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.im 0) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 1) (* 0 0)) into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) 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 y.re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 x.im) 0) (+ (* 0 0) (* 0 (/ 1 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 x.im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) 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 y.re)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 x.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [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]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.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 (* 1 (* 1 (* (/ 1 (/ 1 y.re)) (/ 1 (/ 1 x.re)))))) (* 1 (* (/ 1 (/ 1 y.im)) (* (/ 1 (/ 1 x.im)) (* 1 1))))) into (+ (* y.im x.im) (* y.re x.re))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in (x.re y.re x.im y.im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- x.re) in y.im
* [misc]taylor:  Taking taylor expansion of x.re in y.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (/ 1 (- x.re)) into (/ -1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- x.im) in y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.im
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in x.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (- x.re) in x.im
* [misc]taylor:  Taking taylor expansion of x.re in x.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (/ 1 (- x.re)) into (/ -1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (- x.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.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 (- y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- x.re) in y.re
* [misc]taylor:  Taking taylor expansion of x.re in y.re
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (/ 1 (- x.re)) into (/ -1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- x.im) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 y.re)) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))))) 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 y.re))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 x.im) (/ -1 y.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* y.im x.im))) into (/ 1 (* y.im x.im))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (* y.im x.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [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 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 x.im) (/ 0 (- x.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 x.im) 0) (* 0 (/ -1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.im 0) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 1) (* 0 0)) into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.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 (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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 y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 x.im) (/ 0 (- x.im))) (* 0 (/ 0 (- x.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 x.im) 0) (+ (* 0 0) (* 0 (/ -1 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 x.im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 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 (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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 y.re)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 x.im) (/ 0 (- x.im))) (* 0 (/ 0 (- x.im))) (* 0 (/ 0 (- x.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 x.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [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]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.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 (* 1 (* 1 (* (/ 1 (/ 1 (- y.re))) (/ 1 (/ 1 (- x.re))))))) (* 1 (* (/ 1 (/ 1 (- y.im))) (* (/ 1 (/ 1 (- x.im))) (* 1 1))))) into (+ (* y.im x.im) (* y.re x.re))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (pow (+ (* y.re y.re) (* y.im y.im)) 1/2))))>
* * * * [misc]progress:  [ 2 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 1))))>
* * * * [misc]progress:  [ 3 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (exp (log (sqrt (+ (* y.re y.re) (* y.im y.im))))))))>
* * * * [misc]progress:  [ 4 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (log (exp (sqrt (+ (* y.re y.re) (* y.im y.im))))))))>
* * * * [misc]progress:  [ 5 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (* (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))>
* * * * [misc]progress:  [ 6 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))))))>
* * * * [misc]progress:  [ 7 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (* (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 0
* * [misc]simplify:  Extracting #4: cost 8 inf + 0
* * [misc]simplify:  Extracting #5: cost 5 inf + 43
* * [misc]simplify:  Extracting #6: cost 0 inf + 892
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (* (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))))))
* * * * [misc]progress:  [ 8 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 43
* * [misc]simplify:  Extracting #6: cost 0 inf + 570
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))
* * * * [misc]progress:  [ 9 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (* (sqrt 1) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (* 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))))
* * * * [misc]progress:  [ 10 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (/ (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3))) (sqrt (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im)))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 16 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 904
* * [misc]simplify:  Extracting #5: cost 1 inf + 1178
* * [misc]simplify:  Extracting #6: cost 0 inf + 1500
* [exit]simplify:  Simplified to (sqrt (+ (* (* y.re (* y.re y.re)) (* y.re (* y.re y.re))) (* (* y.im y.im) (* (* y.im y.im) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (/ (sqrt (+ (* (* y.re (* y.re y.re)) (* y.re (* y.re y.re))) (* (* y.im y.im) (* (* y.im y.im) (* y.im y.im))))) (sqrt (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im)))))))))
* * * * [misc]progress:  [ 11 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (/ (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im)))) (sqrt (- (* y.re y.re) (* y.im y.im)))))))>
* [enter]simplify:  Simplifying (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 48 inf + 0
* * [misc]simplify:  Extracting #3: cost 118 inf + 0
* * [misc]simplify:  Extracting #4: cost 119 inf + 1265
* * [misc]simplify:  Extracting #5: cost 31 inf + 15994
* * [misc]simplify:  Extracting #6: cost 0 inf + 22216
* [exit]simplify:  Simplified to (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (/ (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im)))) (sqrt (- (* y.re y.re) (* y.im y.im)))))))
* * * * [misc]progress:  [ 12 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))>
* * * * [misc]progress:  [ 13 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (fabs (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* y.re y.re) (* y.im y.im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 368
* [exit]simplify:  Simplified to (sqrt (+ (* y.re y.re) (* y.im y.im)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (fabs (sqrt (+ (* y.re y.re) (* y.im y.im)))))))
* * * * [misc]progress:  [ 14 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (* 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>
* * * * [misc]progress:  [ 15 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (pow (+ (* y.re y.re) (* y.im y.im)) 1/2)) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 16 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 1)) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 17 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (exp (log (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 18 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (log (exp (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 19 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (* (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 20 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (cbrt (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 21 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (* (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 0
* * [misc]simplify:  Extracting #4: cost 8 inf + 0
* * [misc]simplify:  Extracting #5: cost 5 inf + 43
* * [misc]simplify:  Extracting #6: cost 0 inf + 892
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (* (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 22 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 43
* * [misc]simplify:  Extracting #6: cost 0 inf + 570
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 23 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (* (sqrt 1) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (* 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 24 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (/ (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3))) (sqrt (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im))))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 16 inf + 0
* * [misc]simplify:  Extracting #4: cost 5 inf + 904
* * [misc]simplify:  Extracting #5: cost 1 inf + 1178
* * [misc]simplify:  Extracting #6: cost 0 inf + 1500
* [exit]simplify:  Simplified to (sqrt (+ (* (* y.re (* y.re y.re)) (* y.re (* y.re y.re))) (* (* y.im y.im) (* (* y.im y.im) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (/ (sqrt (+ (* (* y.re (* y.re y.re)) (* y.re (* y.re y.re))) (* (* y.im y.im) (* (* y.im y.im) (* y.im y.im))))) (sqrt (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im))))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 25 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (/ (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im)))) (sqrt (- (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 48 inf + 0
* * [misc]simplify:  Extracting #3: cost 118 inf + 0
* * [misc]simplify:  Extracting #4: cost 119 inf + 1265
* * [misc]simplify:  Extracting #5: cost 31 inf + 15994
* * [misc]simplify:  Extracting #6: cost 0 inf + 22216
* [exit]simplify:  Simplified to (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (/ (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im)))) (sqrt (- (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 26 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 27 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (fabs (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* y.re y.re) (* y.im y.im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 368
* [exit]simplify:  Simplified to (sqrt (+ (* y.re y.re) (* y.im y.im)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (fabs (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 28 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (* 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 29 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (pow (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) 1)))>
* * * * [misc]progress:  [ 30 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (exp (- (log (+ (* x.re y.re) (* x.im y.im))) (log (sqrt (+ (* y.re y.re) (* y.im y.im))))))))>
* [enter]simplify:  Simplifying (- (log (+ (* x.re y.re) (* x.im y.im))) (log (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 15 inf + 0
* * [misc]simplify:  Extracting #5: cost 9 inf + 87
* * [misc]simplify:  Extracting #6: cost 3 inf + 772
* * [misc]simplify:  Extracting #7: cost 0 inf + 1740
* [exit]simplify:  Simplified to (- (log (+ (* x.im y.im) (* x.re y.re))) (log (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (exp (- (log (+ (* x.im y.im) (* x.re y.re))) (log (sqrt (+ (* y.re y.re) (* y.im y.im))))))))
* * * * [misc]progress:  [ 31 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (exp (log (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))))>
* * * * [misc]progress:  [ 32 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (log (exp (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))))>
* * * * [misc]progress:  [ 33 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (/ (* (* (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im))) (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))))))>
* [enter]simplify:  Simplifying (/ (* (* (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im))) (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (162 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 30 inf + 0
* * [misc]simplify:  Extracting #2: cost 62 inf + 1
* * [misc]simplify:  Extracting #3: cost 153 inf + 1
* * [misc]simplify:  Extracting #4: cost 124 inf + 4058
* * [misc]simplify:  Extracting #5: cost 36 inf + 22229
* * [misc]simplify:  Extracting #6: cost 5 inf + 31779
* * [misc]simplify:  Extracting #7: cost 0 inf + 33677
* [exit]simplify:  Simplified to (/ (* (* (+ (* x.im y.im) (* x.re y.re)) (+ (* x.im y.im) (* x.re y.re))) (+ (* x.im y.im) (* x.re y.re))) (* (+ (* y.im y.im) (* y.re y.re)) (sqrt (+ (* y.im y.im) (* y.re y.re)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (/ (* (* (+ (* x.im y.im) (* x.re y.re)) (+ (* x.im y.im) (* x.re y.re))) (+ (* x.im y.im) (* x.re y.re))) (* (+ (* y.im y.im) (* y.re y.re)) (sqrt (+ (* y.im y.im) (* y.re y.re))))))))
* * * * [misc]progress:  [ 34 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (* (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))))>
* * * * [misc]progress:  [ 35 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (* (* (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))))>
* * * * [misc]progress:  [ 36 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))))>
* * * * [misc]progress:  [ 37 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (- (+ (* x.re y.re) (* x.im y.im))) (- (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>
* * * * [misc]progress:  [ 38 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 12 inf + 0
* * [misc]simplify:  Extracting #3: cost 15 inf + 0
* * [misc]simplify:  Extracting #4: cost 21 inf + 0
* * [misc]simplify:  Extracting #5: cost 14 inf + 208
* * [misc]simplify:  Extracting #6: cost 10 inf + 696
* * [misc]simplify:  Extracting #7: cost 6 inf + 1790
* * [misc]simplify:  Extracting #8: cost 0 inf + 4614
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.im y.im) (* y.re y.re))))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.im y.im) (* y.re y.re))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (* (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.im y.im) (* y.re y.re))))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.im y.im) (* y.re y.re)))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 0
* * [misc]simplify:  Extracting #5: cost 8 inf + 87
* * [misc]simplify:  Extracting #6: cost 2 inf + 782
* * [misc]simplify:  Extracting #7: cost 0 inf + 1508
* [exit]simplify:  Simplified to (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))
* * * * [misc]progress:  [ 39 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 9 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 18 inf + 0
* * [misc]simplify:  Extracting #5: cost 10 inf + 250
* * [misc]simplify:  Extracting #6: cost 4 inf + 1306
* * [misc]simplify:  Extracting #7: cost 0 inf + 3042
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (fabs (cbrt (+ (* y.im y.im) (* y.re y.re)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (fabs (cbrt (+ (* y.im y.im) (* y.re y.re))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 0
* * [misc]simplify:  Extracting #5: cost 8 inf + 87
* * [misc]simplify:  Extracting #6: cost 2 inf + 822
* * [misc]simplify:  Extracting #7: cost 0 inf + 1548
* [exit]simplify:  Simplified to (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (fabs (cbrt (+ (* y.im y.im) (* y.re y.re))))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))))))
* * * * [misc]progress:  [ 40 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 17 inf + 0
* * [misc]simplify:  Extracting #5: cost 9 inf + 250
* * [misc]simplify:  Extracting #6: cost 3 inf + 1428
* * [misc]simplify:  Extracting #7: cost 0 inf + 2600
* [exit]simplify:  Simplified to (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.im y.im) (* y.re y.re)))) (cbrt (+ (* x.im y.im) (* x.re y.re)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.im y.im) (* y.re y.re)))) (cbrt (+ (* x.im y.im) (* x.re y.re))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 0
* * [misc]simplify:  Extracting #5: cost 8 inf + 87
* * [misc]simplify:  Extracting #6: cost 2 inf + 782
* * [misc]simplify:  Extracting #7: cost 0 inf + 1428
* [exit]simplify:  Simplified to (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))
* * * * [misc]progress:  [ 41 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt 1)) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 10 inf + 1
* * [misc]simplify:  Extracting #5: cost 6 inf + 5
* * [misc]simplify:  Extracting #6: cost 3 inf + 213
* * [misc]simplify:  Extracting #7: cost 0 inf + 906
* [exit]simplify:  Simplified to (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 13 inf + 0
* * [misc]simplify:  Extracting #5: cost 7 inf + 87
* * [misc]simplify:  Extracting #6: cost 1 inf + 782
* * [misc]simplify:  Extracting #7: cost 0 inf + 1186
* [exit]simplify:  Simplified to (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))
* * * * [misc]progress:  [ 42 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 6 inf + 0
* * [misc]simplify:  Extracting #2: cost 8 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 17 inf + 0
* * [misc]simplify:  Extracting #5: cost 9 inf + 250
* * [misc]simplify:  Extracting #6: cost 3 inf + 1428
* * [misc]simplify:  Extracting #7: cost 0 inf + 2600
* [exit]simplify:  Simplified to (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.im y.im) (* y.re y.re)))) (cbrt (+ (* x.im y.im) (* x.re y.re)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.im y.im) (* y.re y.re)))) (cbrt (+ (* x.im y.im) (* x.re y.re))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 0
* * [misc]simplify:  Extracting #5: cost 8 inf + 87
* * [misc]simplify:  Extracting #6: cost 2 inf + 782
* * [misc]simplify:  Extracting #7: cost 0 inf + 1428
* [exit]simplify:  Simplified to (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))
* * * * [misc]progress:  [ 43 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) 1) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 10 inf + 1
* * [misc]simplify:  Extracting #5: cost 5 inf + 47
* * [misc]simplify:  Extracting #6: cost 4 inf + 89
* * [misc]simplify:  Extracting #7: cost 3 inf + 213
* * [misc]simplify:  Extracting #8: cost 0 inf + 906
* [exit]simplify:  Simplified to (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 13 inf + 0
* * [misc]simplify:  Extracting #5: cost 7 inf + 87
* * [misc]simplify:  Extracting #6: cost 1 inf + 782
* * [misc]simplify:  Extracting #7: cost 0 inf + 1186
* [exit]simplify:  Simplified to (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))
* * * * [misc]progress:  [ 44 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 16 inf + 0
* * [misc]simplify:  Extracting #5: cost 10 inf + 87
* * [misc]simplify:  Extracting #6: cost 4 inf + 742
* * [misc]simplify:  Extracting #7: cost 1 inf + 1710
* * [misc]simplify:  Extracting #8: cost 0 inf + 2194
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 0
* * [misc]simplify:  Extracting #5: cost 8 inf + 87
* * [misc]simplify:  Extracting #6: cost 2 inf + 742
* * [misc]simplify:  Extracting #7: cost 0 inf + 1428
* [exit]simplify:  Simplified to (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))
* * * * [misc]progress:  [ 45 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 15 inf + 0
* * [misc]simplify:  Extracting #5: cost 9 inf + 87
* * [misc]simplify:  Extracting #6: cost 2 inf + 1024
* * [misc]simplify:  Extracting #7: cost 0 inf + 1710
* [exit]simplify:  Simplified to (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 0
* * [misc]simplify:  Extracting #5: cost 8 inf + 87
* * [misc]simplify:  Extracting #6: cost 2 inf + 782
* * [misc]simplify:  Extracting #7: cost 0 inf + 1468
* [exit]simplify:  Simplified to (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))))))
* * * * [misc]progress:  [ 46 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 0
* * [misc]simplify:  Extracting #5: cost 8 inf + 87
* * [misc]simplify:  Extracting #6: cost 2 inf + 742
* * [misc]simplify:  Extracting #7: cost 0 inf + 1348
* [exit]simplify:  Simplified to (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 0
* * [misc]simplify:  Extracting #5: cost 8 inf + 87
* * [misc]simplify:  Extracting #6: cost 2 inf + 742
* * [misc]simplify:  Extracting #7: cost 0 inf + 1348
* [exit]simplify:  Simplified to (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))
* * * * [misc]progress:  [ 47 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt 1)) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 8 inf + 1
* * [misc]simplify:  Extracting #4: cost 3 inf + 47
* * [misc]simplify:  Extracting #5: cost 0 inf + 377
* [exit]simplify:  Simplified to (sqrt (+ (* x.im y.im) (* x.re y.re)))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (sqrt (+ (* x.im y.im) (* x.re y.re))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 13 inf + 0
* * [misc]simplify:  Extracting #5: cost 7 inf + 87
* * [misc]simplify:  Extracting #6: cost 1 inf + 742
* * [misc]simplify:  Extracting #7: cost 0 inf + 1106
* [exit]simplify:  Simplified to (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (sqrt (+ (* x.im y.im) (* x.re y.re))) (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))
* * * * [misc]progress:  [ 48 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 0
* * [misc]simplify:  Extracting #5: cost 8 inf + 87
* * [misc]simplify:  Extracting #6: cost 2 inf + 742
* * [misc]simplify:  Extracting #7: cost 0 inf + 1348
* [exit]simplify:  Simplified to (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 0
* * [misc]simplify:  Extracting #5: cost 8 inf + 87
* * [misc]simplify:  Extracting #6: cost 2 inf + 742
* * [misc]simplify:  Extracting #7: cost 0 inf + 1348
* [exit]simplify:  Simplified to (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))
* * * * [misc]progress:  [ 49 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) 1) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 8 inf + 1
* * [misc]simplify:  Extracting #4: cost 3 inf + 47
* * [misc]simplify:  Extracting #5: cost 0 inf + 377
* [exit]simplify:  Simplified to (sqrt (+ (* x.im y.im) (* x.re y.re)))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (sqrt (+ (* x.im y.im) (* x.re y.re))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 9 inf + 0
* * [misc]simplify:  Extracting #4: cost 13 inf + 0
* * [misc]simplify:  Extracting #5: cost 7 inf + 87
* * [misc]simplify:  Extracting #6: cost 1 inf + 742
* * [misc]simplify:  Extracting #7: cost 0 inf + 1106
* [exit]simplify:  Simplified to (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (sqrt (+ (* x.im y.im) (* x.re y.re))) (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))
* * * * [misc]progress:  [ 50 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ 1 (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 5 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 8 inf + 1
* * [misc]simplify:  Extracting #5: cost 10 inf + 1
* * [misc]simplify:  Extracting #6: cost 0 inf + 1499
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ 1 (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))
* [enter]simplify:  Simplifying (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 8 inf + 46
* * [misc]simplify:  Extracting #5: cost 3 inf + 416
* * [misc]simplify:  Extracting #6: cost 1 inf + 820
* * [misc]simplify:  Extracting #7: cost 0 inf + 1224
* [exit]simplify:  Simplified to (/ (+ (* x.im y.im) (* x.re y.re)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ 1 (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* x.im y.im) (* x.re y.re)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))
* * * * [misc]progress:  [ 51 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ 1 (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 9 inf + 1
* * [misc]simplify:  Extracting #6: cost 0 inf + 1176
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ 1 (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))))))
* [enter]simplify:  Simplifying (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 8 inf + 46
* * [misc]simplify:  Extracting #5: cost 3 inf + 416
* * [misc]simplify:  Extracting #6: cost 1 inf + 860
* * [misc]simplify:  Extracting #7: cost 0 inf + 1264
* [exit]simplify:  Simplified to (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ 1 (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))))))
* * * * [misc]progress:  [ 52 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 6 inf + 1
* * [misc]simplify:  Extracting #5: cost 8 inf + 1
* * [misc]simplify:  Extracting #6: cost 0 inf + 814
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))
* [enter]simplify:  Simplifying (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 8 inf + 46
* * [misc]simplify:  Extracting #5: cost 3 inf + 416
* * [misc]simplify:  Extracting #6: cost 1 inf + 780
* * [misc]simplify:  Extracting #7: cost 0 inf + 1144
* [exit]simplify:  Simplified to (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))
* * * * [misc]progress:  [ 53 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ 1 (sqrt 1)) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* 1 (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))
* [enter]simplify:  Simplifying (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 412
* * [misc]simplify:  Extracting #5: cost 0 inf + 902
* [exit]simplify:  Simplified to (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* 1 (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))
* * * * [misc]progress:  [ 54 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 1
* * [misc]simplify:  Extracting #3: cost 4 inf + 1
* * [misc]simplify:  Extracting #4: cost 6 inf + 1
* * [misc]simplify:  Extracting #5: cost 8 inf + 1
* * [misc]simplify:  Extracting #6: cost 0 inf + 814
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))
* [enter]simplify:  Simplifying (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 11 inf + 0
* * [misc]simplify:  Extracting #4: cost 8 inf + 46
* * [misc]simplify:  Extracting #5: cost 3 inf + 416
* * [misc]simplify:  Extracting #6: cost 1 inf + 780
* * [misc]simplify:  Extracting #7: cost 0 inf + 1144
* [exit]simplify:  Simplified to (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))))
* * * * [misc]progress:  [ 55 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ 1 1) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* 1 (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))
* [enter]simplify:  Simplifying (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 12 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 412
* * [misc]simplify:  Extracting #5: cost 0 inf + 902
* [exit]simplify:  Simplified to (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* 1 (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))
* * * * [misc]progress:  [ 56 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* 1 (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>
* * * * [misc]progress:  [ 57 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>
* * * * [misc]progress:  [ 58 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* x.re y.re) (* x.im y.im))))))>
* * * * [misc]progress:  [ 59 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 43
* * [misc]simplify:  Extracting #6: cost 0 inf + 610
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))))
* * * * [misc]progress:  [ 60 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 43
* * [misc]simplify:  Extracting #6: cost 0 inf + 650
* [exit]simplify:  Simplified to (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))))
* * * * [misc]progress:  [ 61 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 43
* * [misc]simplify:  Extracting #6: cost 0 inf + 570
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))))
* * * * [misc]progress:  [ 62 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt 1)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* y.re y.re) (* y.im y.im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 368
* [exit]simplify:  Simplified to (sqrt (+ (* y.re y.re) (* y.im y.im)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt 1)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 63 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 0
* * [misc]simplify:  Extracting #4: cost 7 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 43
* * [misc]simplify:  Extracting #6: cost 0 inf + 570
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))))
* * * * [misc]progress:  [ 64 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (/ (+ (* x.re y.re) (* x.im y.im)) 1) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* y.re y.re) (* y.im y.im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 368
* [exit]simplify:  Simplified to (sqrt (+ (* y.re y.re) (* y.im y.im)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (/ (+ (* x.re y.re) (* x.im y.im)) 1) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 65 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))))))>
* [enter]simplify:  Simplifying (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 0
* * [misc]simplify:  Extracting #4: cost 9 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 46
* * [misc]simplify:  Extracting #6: cost 0 inf + 660
* [exit]simplify:  Simplified to (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))))))
* * * * [misc]progress:  [ 66 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* x.re y.re) (* x.im y.im)))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* x.re y.re) (* x.im y.im)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 46
* * [misc]simplify:  Extracting #5: cost 0 inf + 376
* [exit]simplify:  Simplified to (sqrt (+ (* x.im y.im) (* x.re y.re)))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* x.re y.re) (* x.im y.im)))))))
* * * * [misc]progress:  [ 67 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* x.re y.re) (* x.im y.im))))))>
* * * * [misc]progress:  [ 68 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3)))) (sqrt (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 20 inf + 0
* * [misc]simplify:  Extracting #3: cost 100 inf + 0
* * [misc]simplify:  Extracting #4: cost 97 inf + 2191
* * [misc]simplify:  Extracting #5: cost 25 inf + 14891
* * [misc]simplify:  Extracting #6: cost 1 inf + 16859
* * [misc]simplify:  Extracting #7: cost 0 inf + 16901
* [exit]simplify:  Simplified to (sqrt (+ (* (* y.im y.im) (* y.im y.im)) (* (- (* y.re y.re) (* y.im y.im)) (* y.re y.re))))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3)))) (sqrt (+ (* (* y.im y.im) (* y.im y.im)) (* (- (* y.re y.re) (* y.im y.im)) (* y.re y.re)))))))
* * * * [misc]progress:  [ 69 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))) (sqrt (- (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (sqrt (- (* y.re y.re) (* y.im y.im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 30 inf + 0
* * [misc]simplify:  Extracting #3: cost 34 inf + 0
* * [misc]simplify:  Extracting #4: cost 27 inf + 288
* * [misc]simplify:  Extracting #5: cost 9 inf + 2724
* * [misc]simplify:  Extracting #6: cost 0 inf + 4302
* [exit]simplify:  Simplified to (sqrt (- (* y.re y.re) (* y.im y.im)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))) (sqrt (- (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 70 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im))))))))>
* [enter]simplify:  Simplifying (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 32 inf + 0
* * [misc]simplify:  Extracting #3: cost 24 inf + 168
* * [misc]simplify:  Extracting #4: cost 1 inf + 2742
* * [misc]simplify:  Extracting #5: cost 0 inf + 2573
* [exit]simplify:  Simplified to (+ (* (* (* x.im y.im) (* x.im y.im)) (* x.im y.im)) (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* (* (* x.im y.im) (* x.im y.im)) (* x.im y.im)) (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re)))) (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im))))))))
* * * * [misc]progress:  [ 71 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* x.re y.re) (* x.im y.im))))))>
* [enter]simplify:  Simplifying (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (180 enodes)
* * [misc]simplify:  iters left: 1 (339 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 20 inf + 0
* * [misc]simplify:  Extracting #2: cost 92 inf + 0
* * [misc]simplify:  Extracting #3: cost 98 inf + 373
* * [misc]simplify:  Extracting #4: cost 52 inf + 5368
* * [misc]simplify:  Extracting #5: cost 9 inf + 14448
* * [misc]simplify:  Extracting #6: cost 0 inf + 16804
* [exit]simplify:  Simplified to (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* x.re y.re) (* x.im y.im))))))
* * * * [misc]progress:  [ 72 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (log (* (exp (* x.re y.re)) (exp (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (* (exp (* x.re y.re)) (exp (* x.im y.im)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 2
* * [misc]simplify:  Extracting #4: cost 5 inf + 229
* * [misc]simplify:  Extracting #5: cost 0 inf + 842
* * [misc]simplify:  Extracting #6: cost 0 inf + 772
* [exit]simplify:  Simplified to (exp (+ (* x.re y.re) (* x.im y.im)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (log (exp (+ (* x.re y.re) (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 73 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 74 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (exp (log (+ (* x.re y.re) (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 75 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (log (exp (+ (* x.re y.re) (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 76 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (* (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 77 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (cbrt (* (* (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 78 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (* (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 79 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (/ (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 80 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (* 1 (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 81 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (- (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 82 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 83 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) y.im)))>
* [enter]simplify:  Simplifying y.im
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to y.im
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) y.im)))
* * * * [misc]progress:  [ 84 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) y.re)))>
* [enter]simplify:  Simplifying y.re
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to y.re
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) y.re)))
* * * * [misc]progress:  [ 85 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (* -1 y.re))))>
* [enter]simplify:  Simplifying (* -1 y.re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 0 inf + 43
* [exit]simplify:  Simplified to (- y.re)
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (- y.re))))
* * * * [misc]progress:  [ 86 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 y.im) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying y.im
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to y.im
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (* (/ 1 y.im) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 87 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 y.re) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying y.re
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to y.re
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (* (/ 1 y.re) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 88 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (* -1 y.re)) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (* -1 y.re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 0 inf + 43
* [exit]simplify:  Simplified to (- y.re)
* [misc]simplify:  Simplified (2 1 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (- y.re)) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 89 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) x.im))>
* [enter]simplify:  Simplifying x.im
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to x.im
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) x.im))
* * * * [misc]progress:  [ 90 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) x.re))>
* [enter]simplify:  Simplifying x.re
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to x.re
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) x.re))
* * * * [misc]progress:  [ 91 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* -1 x.re)))>
* [enter]simplify:  Simplifying (* -1 x.re)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 0 inf + 43
* [exit]simplify:  Simplified to (- x.re)
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (- x.re)))
* * * * [misc]progress:  [ 92 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ 0 (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ 0 (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 93 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (+ (* y.im x.im) (* y.re x.re))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 46
* * [misc]simplify:  Extracting #4: cost 0 inf + 212
* [exit]simplify:  Simplified to (+ (* y.re x.re) (* y.im x.im))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* y.re x.re) (* y.im x.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 94 / 94 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (+ (* y.im x.im) (* y.re x.re))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 46
* * [misc]simplify:  Extracting #4: cost 0 inf + 212
* [exit]simplify:  Simplified to (+ (* y.re x.re) (* y.im x.im))
* [misc]simplify:  Simplified (2 2 1) to (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* y.re x.re) (* y.im x.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 3 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 2)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 3 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))) in (x.re y.re x.im y.im) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in y.im
* [misc]taylor:  Taking taylor expansion of x.re in y.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.im
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* y.re y.re) (* y.im y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.re y.re) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
* [misc]taylor:  Taking taylor expansion of (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))) in x.im
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in x.im
* [misc]taylor:  Taking taylor expansion of x.re in x.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* y.re y.re) (* y.im y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.re y.re) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
* [misc]backup-simplify:  Simplify (/ 1 (+ (pow y.re 2) (pow y.im 2))) into (/ 1 (+ (pow y.re 2) (pow y.im 2)))
* [misc]taylor:  Taking taylor expansion of (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in y.re
* [misc]taylor:  Taking taylor expansion of x.re in y.re
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* y.re y.re) (* y.im y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]taylor:  Taking taylor expansion of (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* y.re y.re) (* y.im y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.re y.re) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
* [misc]backup-simplify:  Simplify (/ 1 (+ (pow y.re 2) (pow y.im 2))) into (/ 1 (+ (pow y.re 2) (pow y.im 2)))
* [misc]taylor:  Taking taylor expansion of (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* y.re y.re) (* y.im y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.re y.re) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
* [misc]backup-simplify:  Simplify (/ 1 (+ (pow y.re 2) (pow y.im 2))) into (/ 1 (+ (pow y.re 2) (pow y.im 2)))
* [misc]backup-simplify:  Simplify (* 0 y.re) into 0
* [misc]backup-simplify:  Simplify (* x.im y.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (+ 0 (* y.im x.im)) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (* (* y.im x.im) (/ 1 (+ (pow y.re 2) (pow y.im 2)))) into (/ (* y.im x.im) (+ (pow y.re 2) (pow y.im 2)))
* [misc]taylor:  Taking taylor expansion of (/ (* y.im x.im) (+ (pow y.re 2) (pow y.im 2))) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.re 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im x.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ (* y.im x.im) (pow y.im 2)) into (/ x.im y.im)
* [misc]taylor:  Taking taylor expansion of (/ x.im y.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (+ (* y.re 0) (* 0 y.re)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ (pow y.re 2) (pow y.im 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 y.re)) into y.re
* [misc]backup-simplify:  Simplify (+ (* x.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ y.re 0) into y.re
* [misc]backup-simplify:  Simplify (+ (* (* y.im x.im) 0) (* y.re (/ 1 (+ (pow y.re 2) (pow y.im 2))))) into (/ y.re (+ (pow y.re 2) (pow y.im 2)))
* [misc]taylor:  Taking taylor expansion of (/ y.re (+ (pow y.re 2) (pow y.im 2))) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.re 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 x.im)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow y.im 2)) (+ (* (/ x.im y.im) (/ 0 (pow y.im 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ (pow y.re 2) (pow y.im 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))) (* 0 (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y.re))) into 0
* [misc]backup-simplify:  Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (* y.im x.im) 0) (+ (* y.re 0) (* 0 (/ 1 (+ (pow y.re 2) (pow y.im 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (pow y.im 2)) (+ (* (/ x.im y.im) (/ 1 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into (- (/ x.im (pow y.im 3)))
* [misc]taylor:  Taking taylor expansion of (- (/ x.im (pow y.im 3))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ x.im (pow y.im 3)) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow y.im 3) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (* y.im (pow y.im 2)) into (pow y.im 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 3)) into (/ 1 (pow y.im 3))
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 y.im) (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (* (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (/ 1 (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))) in (x.re y.re x.im y.im) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (/ 1 (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in y.im
* [misc]taylor:  Taking taylor expansion of x.re in y.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (/ 1 x.re) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.im
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (/ 1 (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))) in x.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in x.im
* [misc]taylor:  Taking taylor expansion of x.re in x.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (/ 1 x.re) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.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 y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in x.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
* [misc]backup-simplify:  Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (/ 1 (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in y.re
* [misc]taylor:  Taking taylor expansion of x.re in y.re
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (/ 1 x.re) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (/ 1 (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
* [misc]backup-simplify:  Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (/ 1 (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
* [misc]backup-simplify:  Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
* [misc]backup-simplify:  Simplify (* 1 (/ 1 y.re)) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (* (/ 1 y.re) (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) into (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.re 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 y.re))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 x.im) (/ 1 y.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* y.im x.im))) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.re) 0) (* (/ 1 (* y.im x.im)) (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.re 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* x.im 1) into x.im
* [misc]backup-simplify:  Simplify (* y.im x.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (* 0 (/ 1 (pow y.im 2))) (+ (* 1 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.re) 0) (+ (* 0 0) (* 0 (/ 1 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (* 0 (/ 1 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 x.im) 0) (* 0 (/ 1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.re) 0) (+ (* (/ 1 (* y.im x.im)) 0) (* 0 (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.im 0) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 1) (* 0 0)) into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 (/ 1 (pow y.im 2))) (+ (* 0 0) (* 0 1)))) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (pow y.im 2))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.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 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y.re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) 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 y.re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 x.im) 0) (+ (* 0 0) (* 0 (/ 1 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.re) 0) (+ (* (/ 1 (* y.im x.im)) 0) (+ (* 0 0) (* 0 (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* x.im 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 x.im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 (pow y.im 2))) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (* (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (/ 1 (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))))) in (x.re y.re x.im y.im) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (/ 1 (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- x.re) in y.im
* [misc]taylor:  Taking taylor expansion of x.re in y.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (/ 1 (- x.re)) into (/ -1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- x.im) in y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.im
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (/ 1 (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))))) in x.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in x.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (- x.re) in x.im
* [misc]taylor:  Taking taylor expansion of x.re in x.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (/ 1 (- x.re)) into (/ -1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (- x.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.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 (- y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in x.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in x.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
* [misc]backup-simplify:  Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (/ 1 (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- x.re) in y.re
* [misc]taylor:  Taking taylor expansion of x.re in y.re
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (/ 1 (- x.re)) into (/ -1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- x.im) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (/ 1 (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
* [misc]backup-simplify:  Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
* [misc]taylor:  Taking taylor expansion of (* (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (/ 1 (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in x.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
* [misc]backup-simplify:  Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
* [misc]backup-simplify:  Simplify (* -1 (/ -1 y.re)) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (* (/ 1 y.re) (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) into (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.re 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))))) 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 y.re))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 x.im) (/ -1 y.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* y.im x.im))) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.re) 0) (* (/ 1 (* y.im x.im)) (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.re 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* x.im 1) into x.im
* [misc]backup-simplify:  Simplify (* y.im x.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ (* 0 (/ 1 (pow y.im 2))) (+ (* 1 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.re) 0) (+ (* 0 0) (* 0 (/ -1 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.im) 0) (+ (* 0 0) (* 0 (/ -1 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [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 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 x.im) (/ 0 (- x.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 x.im) 0) (* 0 (/ -1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.re) 0) (+ (* (/ 1 (* y.im x.im)) 0) (* 0 (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.im 0) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 1) (* 0 0)) into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 (/ 1 (pow y.im 2))) (+ (* 0 0) (* 0 1)))) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (pow y.im 2))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 y.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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 y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 x.im) (/ 0 (- x.im))) (* 0 (/ 0 (- x.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 x.im) 0) (+ (* 0 0) (* 0 (/ -1 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 y.re) 0) (+ (* (/ 1 (* y.im x.im)) 0) (+ (* 0 0) (* 0 (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* x.im 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 x.im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 (pow y.im 2))) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [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 (/ 1 (+ (* y.re y.re) (* y.im y.im))) in (y.re y.im) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* y.re y.re) (* y.im y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.re y.re) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* y.re y.re) (* y.im y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* y.re y.re) (* y.im y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.re y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* y.im y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* y.im y.im) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 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 (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 1 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into (- (/ 1 (pow y.im 4)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (pow y.im 4))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 4)) in y.im
* [misc]taylor:  Taking taylor expansion of (pow y.im 4) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ 1 (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in (y.re y.im) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.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 (/ 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 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (pow y.im 2))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 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]approximate:  Taking taylor expansion of (/ 1 (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in (y.re y.im) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in y.im
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) in y.re
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.re)) (/ 1 (- y.re))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- y.im)) (/ 1 (- y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -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 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (pow y.im 2))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
* [misc]taylor:  Taking taylor expansion of (pow y.im 2) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 3 / 3 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in (x.re y.re x.im y.im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in y.im
* [misc]taylor:  Taking taylor expansion of x.re in y.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.im
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in x.im
* [misc]taylor:  Taking taylor expansion of x.re in x.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in y.re
* [misc]taylor:  Taking taylor expansion of x.re in y.re
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of (+ (* x.re y.re) (* x.im y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (* x.re y.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]taylor:  Taking taylor expansion of (* x.im y.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (* 0 y.re) into 0
* [misc]backup-simplify:  Simplify (* x.im y.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (+ 0 (* y.im x.im)) into (* y.im x.im)
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (* y.im x.im) into (* y.im x.im)
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.im 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 y.re)) into y.re
* [misc]backup-simplify:  Simplify (+ (* x.im 0) (* 0 y.im)) into 0
* [misc]backup-simplify:  Simplify (+ y.re 0) into y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 x.im)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 1) (* 0 0)) into y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y.re))) into 0
* [misc]backup-simplify:  Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in (x.re y.re x.im y.im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in y.im
* [misc]taylor:  Taking taylor expansion of x.re in y.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (/ 1 x.re) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.im
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in x.im
* [misc]taylor:  Taking taylor expansion of x.re in x.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (/ 1 x.re) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.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 y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in y.re
* [misc]taylor:  Taking taylor expansion of x.re in y.re
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (/ 1 x.re) into (/ 1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.re) (/ 1 y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (/ 1 y.re) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x.im) (/ 1 y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (/ 1 x.im) into (/ 1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 y.re)) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 y.re))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 x.im) (/ 1 y.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* y.im x.im))) into (/ 1 (* y.im x.im))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (* y.im x.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 x.im) 0) (* 0 (/ 1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.im 0) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 1) (* 0 0)) into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) 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 y.re))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 x.im) 0) (+ (* 0 0) (* 0 (/ 1 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 x.im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) 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 y.re)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 x.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [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]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.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 (* 1 (* 1 (* (/ 1 (/ 1 y.re)) (/ 1 (/ 1 x.re)))))) (* 1 (* (/ 1 (/ 1 y.im)) (* (/ 1 (/ 1 x.im)) (* 1 1))))) into (+ (* y.im x.im) (* y.re x.re))
* [misc]approximate:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in (x.re y.re x.im y.im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in y.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- x.re) in y.im
* [misc]taylor:  Taking taylor expansion of x.re in y.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (/ 1 (- x.re)) into (/ -1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.im
* [misc]taylor:  Taking taylor expansion of y.re in y.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in y.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- x.im) in y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.im
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in x.im
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (- x.re) in x.im
* [misc]taylor:  Taking taylor expansion of x.re in x.im
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (/ 1 (- x.re)) into (/ -1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.im
* [misc]taylor:  Taking taylor expansion of y.re in x.im
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in x.im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (- x.im) in x.im
* [misc]taylor:  Taking taylor expansion of x.im in x.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 (- y.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in y.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- x.re) in y.re
* [misc]taylor:  Taking taylor expansion of x.re in y.re
* [misc]backup-simplify:  Simplify x.re into x.re
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (- x.re) into (- x.re)
* [misc]backup-simplify:  Simplify (/ 1 (- x.re)) into (/ -1 x.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in y.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- x.im) in y.re
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]taylor:  Taking taylor expansion of (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) in x.re
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.re)) (/ 1 (- y.re))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.re) in x.re
* [misc]taylor:  Taking taylor expansion of x.re in x.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.re)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.re) in x.re
* [misc]taylor:  Taking taylor expansion of y.re in x.re
* [misc]backup-simplify:  Simplify y.re into y.re
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (/ 1 (- y.re)) into (/ -1 y.re)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x.im)) (/ 1 (- y.im))) in x.re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- x.im) in x.re
* [misc]taylor:  Taking taylor expansion of x.im in x.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (/ 1 (- x.im)) into (/ -1 x.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- y.im)) in x.re
* [misc]taylor:  Taking taylor expansion of (- y.im) in x.re
* [misc]taylor:  Taking taylor expansion of y.im in x.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (/ 1 (- y.im)) into (/ -1 y.im)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 y.re)) into (/ 1 y.re)
* [misc]backup-simplify:  Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.re) in y.re
* [misc]taylor:  Taking taylor expansion of y.re in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))))) 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 y.re))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 x.im) (/ -1 y.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* y.im x.im))) into (/ 1 (* y.im x.im))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in y.re
* [misc]taylor:  Taking taylor expansion of y.im in y.re
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in y.re
* [misc]backup-simplify:  Simplify x.im into x.im
* [misc]backup-simplify:  Simplify (* y.im x.im) into (* y.im x.im)
* [misc]backup-simplify:  Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in y.im
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [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 y.re)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 x.im) (/ 0 (- x.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 x.im) 0) (* 0 (/ -1 y.im))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
* [misc]taylor:  Taking taylor expansion of (* y.im x.im) in x.im
* [misc]taylor:  Taking taylor expansion of y.im in x.im
* [misc]backup-simplify:  Simplify y.im into y.im
* [misc]taylor:  Taking taylor expansion of x.im in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* y.im 0) into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 1) (* 0 0)) into y.im
* [misc]backup-simplify:  Simplify (/ 1 y.im) into (/ 1 y.im)
* [misc]taylor:  Taking taylor expansion of (/ 1 y.im) in y.im
* [misc]taylor:  Taking taylor expansion of y.im in y.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 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.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 (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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 y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 x.im) (/ 0 (- x.im))) (* 0 (/ 0 (- x.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 x.im) 0) (+ (* 0 0) (* 0 (/ -1 y.im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (* 0 x.im)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 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 (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.re) into (- y.re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.re) (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))) (* 0 (/ 0 (- y.re))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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 y.re)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- y.im) into (- y.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 y.im) (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))) (* 0 (/ 0 (- y.im))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- x.im) into (- x.im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 x.im) (/ 0 (- x.im))) (* 0 (/ 0 (- x.im))) (* 0 (/ 0 (- x.im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 x.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y.im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in x.im
* [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]taylor:  Taking taylor expansion of 0 in x.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in y.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 (* 1 (* 1 (* (/ 1 (/ 1 (- y.re))) (/ 1 (/ 1 (- x.re))))))) (* 1 (* (/ 1 (/ 1 (- y.im))) (* (/ 1 (/ 1 (- x.im))) (* 1 1))))) into (+ (* y.im x.im) (* y.re x.re))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (pow (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))) 1))>
* [enter]simplify:  Simplifying (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 8 inf + 0
* * [misc]simplify:  Extracting #2: cost 29 inf + 1
* * [misc]simplify:  Extracting #3: cost 23 inf + 88
* * [misc]simplify:  Extracting #4: cost 20 inf + 295
* * [misc]simplify:  Extracting #5: cost 3 inf + 3464
* * [misc]simplify:  Extracting #6: cost 0 inf + 4074
* [exit]simplify:  Simplified to (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im)))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (pow (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))) 1))
* * * * [misc]progress:  [ 2 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (pow (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))) 1))>
* * * * [misc]progress:  [ 3 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (exp (+ (log (+ (* x.re y.re) (* x.im y.im))) (- (log (+ (* y.re y.re) (* y.im y.im)))))))>
* [enter]simplify:  Simplifying (+ (log (+ (* x.re y.re) (* x.im y.im))) (- (log (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 0
* * [misc]simplify:  Extracting #4: cost 14 inf + 0
* * [misc]simplify:  Extracting #5: cost 8 inf + 87
* * [misc]simplify:  Extracting #6: cost 1 inf + 1226
* * [misc]simplify:  Extracting #7: cost 0 inf + 1458
* [exit]simplify:  Simplified to (- (log (+ (* x.im y.im) (* x.re y.re))) (log (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (exp (- (log (+ (* x.im y.im) (* x.re y.re))) (log (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 4 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (exp (+ (log (+ (* x.re y.re) (* x.im y.im))) (log (/ 1 (+ (* y.re y.re) (* y.im y.im)))))))>
* [enter]simplify:  Simplifying (+ (log (+ (* x.re y.re) (* x.im y.im))) (log (/ 1 (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 13 inf + 1
* * [misc]simplify:  Extracting #3: cost 18 inf + 1
* * [misc]simplify:  Extracting #4: cost 21 inf + 2
* * [misc]simplify:  Extracting #5: cost 12 inf + 444
* * [misc]simplify:  Extracting #6: cost 3 inf + 2704
* * [misc]simplify:  Extracting #7: cost 0 inf + 3866
* [exit]simplify:  Simplified to (- (log (+ (* x.im y.im) (* x.re y.re))) (log (+ (* y.im y.im) (* y.re y.re))))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (exp (- (log (+ (* x.im y.im) (* x.re y.re))) (log (+ (* y.im y.im) (* y.re y.re))))))
* * * * [misc]progress:  [ 5 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (exp (log (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))))>
* * * * [misc]progress:  [ 6 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (log (exp (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))))>
* * * * [misc]progress:  [ 7 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (cbrt (* (* (* (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im))) (* (* (/ 1 (+ (* y.re y.re) (* y.im y.im))) (/ 1 (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))))>
* [enter]simplify:  Simplifying (* (* (* (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im))) (* (* (/ 1 (+ (* y.re y.re) (* y.im y.im))) (/ 1 (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (186 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 27 inf + 0
* * [misc]simplify:  Extracting #2: cost 120 inf + 1
* * [misc]simplify:  Extracting #3: cost 190 inf + 1236
* * [misc]simplify:  Extracting #4: cost 89 inf + 20135
* * [misc]simplify:  Extracting #5: cost 42 inf + 34854
* * [misc]simplify:  Extracting #6: cost 0 inf + 52087
* [exit]simplify:  Simplified to (* (/ (/ 1 (+ (* y.im y.im) (* y.re y.re))) (* (+ (* y.im y.im) (* y.re y.re)) (+ (* y.im y.im) (* y.re y.re)))) (* (* (+ (* x.im y.im) (* x.re y.re)) (+ (* x.im y.im) (* x.re y.re))) (+ (* x.im y.im) (* x.re y.re))))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (cbrt (* (/ (/ 1 (+ (* y.im y.im) (* y.re y.re))) (* (+ (* y.im y.im) (* y.re y.re)) (+ (* y.im y.im) (* y.re y.re)))) (* (* (+ (* x.im y.im) (* x.re y.re)) (+ (* x.im y.im) (* x.re y.re))) (+ (* x.im y.im) (* x.re y.re))))))
* * * * [misc]progress:  [ 8 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (* (cbrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im))))) (cbrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))) (cbrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))))>
* * * * [misc]progress:  [ 9 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (cbrt (* (* (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))) (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im))))) (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))))>
* * * * [misc]progress:  [ 10 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (sqrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im))))) (sqrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))))>
* * * * [misc]progress:  [ 11 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) 1) (* (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))) (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (* (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (217 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* * [misc]simplify:  iters left: 1 (438 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 32 inf + 1
* * [misc]simplify:  Extracting #3: cost 26 inf + 47
* * [misc]simplify:  Extracting #4: cost 6 inf + 2666
* * [misc]simplify:  Extracting #5: cost 0 inf + 2694
* * [misc]simplify:  Extracting #6: cost 0 inf + 2574
* [exit]simplify:  Simplified to (+ (* (* (* x.im y.im) (* x.im y.im)) (* x.im y.im)) (* (* (* x.re y.re) (* x.re y.re)) (* x.re y.re)))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (/ (+ (* (* (* x.im y.im) (* x.im y.im)) (* x.im y.im)) (* (* (* x.re y.re) (* x.re y.re)) (* x.re y.re))) (* (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))) (+ (* y.re y.re) (* y.im y.im)))))
* [enter]simplify:  Simplifying (* (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))) (+ (* y.re y.re) (* y.im y.im)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (139 enodes)
* * [misc]simplify:  iters left: 3 (485 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 35 inf + 0
* * [misc]simplify:  Extracting #2: cost 298 inf + 0
* * [misc]simplify:  Extracting #3: cost 314 inf + 9576
* * [misc]simplify:  Extracting #4: cost 78 inf + 60111
* * [misc]simplify:  Extracting #5: cost 0 inf + 84626
* * [misc]simplify:  Extracting #6: cost 0 inf + 84546
* [exit]simplify:  Simplified to (* (+ (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (- (* x.im y.im) (* x.re y.re)))) (+ (* y.im y.im) (* y.re y.re)))
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (/ (* (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) 1) (* (+ (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (- (* x.im y.im) (* x.re y.re)))) (+ (* y.im y.im) (* y.re y.re)))))
* * * * [misc]progress:  [ 12 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) 1) (* (- (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (* (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (266 enodes)
* * [misc]simplify:  iters left: 1 (463 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 23 inf + 0
* * [misc]simplify:  Extracting #2: cost 92 inf + 1
* * [misc]simplify:  Extracting #3: cost 92 inf + 826
* * [misc]simplify:  Extracting #4: cost 34 inf + 7430
* * [misc]simplify:  Extracting #5: cost 3 inf + 14230
* * [misc]simplify:  Extracting #6: cost 0 inf + 15002
* * [misc]simplify:  Extracting #7: cost 0 inf + 14962
* [exit]simplify:  Simplified to (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (* (- (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))))
* [enter]simplify:  Simplifying (* (- (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (195 enodes)
* * [misc]simplify:  iters left: 2 (428 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 26 inf + 0
* * [misc]simplify:  Extracting #2: cost 103 inf + 0
* * [misc]simplify:  Extracting #3: cost 91 inf + 705
* * [misc]simplify:  Extracting #4: cost 18 inf + 14600
* * [misc]simplify:  Extracting #5: cost 0 inf + 19103
* [exit]simplify:  Simplified to (* (+ (* y.re y.re) (* y.im y.im)) (- (* x.re y.re) (* x.im y.im)))
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (* (+ (* y.re y.re) (* y.im y.im)) (- (* x.re y.re) (* x.im y.im)))))
* * * * [misc]progress:  [ 13 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* 1 (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 14 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))>
* [enter]simplify:  Simplifying (+ (* y.re y.re) (* y.im y.im))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 206
* [exit]simplify:  Simplified to (+ (* y.re y.re) (* y.im y.im))
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))
* * * * [misc]progress:  [ 15 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (* (+ (* x.re y.re) (* x.im y.im)) (* (cbrt (/ 1 (+ (* y.re y.re) (* y.im y.im)))) (cbrt (/ 1 (+ (* y.re y.re) (* y.im y.im)))))) (cbrt (/ 1 (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (cbrt (/ 1 (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 613
* [exit]simplify:  Simplified to (cbrt (/ 1 (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (* (* (+ (* x.re y.re) (* x.im y.im)) (* (cbrt (/ 1 (+ (* y.re y.re) (* y.im y.im)))) (cbrt (/ 1 (+ (* y.re y.re) (* y.im y.im)))))) (cbrt (/ 1 (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 16 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (* (+ (* x.re y.re) (* x.im y.im)) (sqrt (/ 1 (+ (* y.re y.re) (* y.im y.im))))) (sqrt (/ 1 (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (sqrt (/ 1 (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 1
* * [misc]simplify:  Extracting #4: cost 7 inf + 1
* * [misc]simplify:  Extracting #5: cost 0 inf + 573
* [exit]simplify:  Simplified to (sqrt (/ 1 (+ (* y.re y.re) (* y.im y.im))))
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (* (* (+ (* x.re y.re) (* x.im y.im)) (sqrt (/ 1 (+ (* y.re y.re) (* y.im y.im))))) (sqrt (/ 1 (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 17 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (* (+ (* x.re y.re) (* x.im y.im)) 1) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (/ 1 (+ (* y.re y.re) (* y.im y.im)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 370
* [exit]simplify:  Simplified to (/ 1 (+ (* y.re y.re) (* y.im y.im)))
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (* (* (+ (* x.re y.re) (* x.im y.im)) 1) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 18 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (* (+ (* x.re y.re) (* x.im y.im)) 1) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (/ 1 (+ (* y.re y.re) (* y.im y.im)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 1
* * [misc]simplify:  Extracting #3: cost 6 inf + 1
* * [misc]simplify:  Extracting #4: cost 0 inf + 370
* [exit]simplify:  Simplified to (/ 1 (+ (* y.re y.re) (* y.im y.im)))
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (* (* (+ (* x.re y.re) (* x.im y.im)) 1) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 19 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3)))) (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (231 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 19 inf + 0
* * [misc]simplify:  Extracting #2: cost 99 inf + 0
* * [misc]simplify:  Extracting #3: cost 94 inf + 2316
* * [misc]simplify:  Extracting #4: cost 39 inf + 10421
* * [misc]simplify:  Extracting #5: cost 5 inf + 16009
* * [misc]simplify:  Extracting #6: cost 0 inf + 16619
* [exit]simplify:  Simplified to (+ (* (* y.im y.im) (- (* y.im y.im) (* y.re y.re))) (* (* y.re y.re) (* y.re y.re)))
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (* (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3)))) (+ (* (* y.im y.im) (- (* y.im y.im) (* y.re y.re))) (* (* y.re y.re) (* y.re y.re)))))
* * * * [misc]progress:  [ 20 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))) (- (* y.re y.re) (* y.im y.im))))>
* [enter]simplify:  Simplifying (- (* y.re y.re) (* y.im y.im))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 19 inf + 0
* * [misc]simplify:  Extracting #3: cost 15 inf + 84
* * [misc]simplify:  Extracting #4: cost 3 inf + 946
* * [misc]simplify:  Extracting #5: cost 0 inf + 1192
* [exit]simplify:  Simplified to (* (+ y.re y.im) (- y.re y.im))
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (* (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))) (* (+ y.re y.im) (- y.re y.im))))
* * * * [misc]progress:  [ 21 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (/ 1 (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 3 inf + 0
* * [misc]simplify:  Extracting #3: cost 5 inf + 0
* * [misc]simplify:  Extracting #4: cost 9 inf + 0
* * [misc]simplify:  Extracting #5: cost 4 inf + 46
* * [misc]simplify:  Extracting #6: cost 0 inf + 660
* [exit]simplify:  Simplified to (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re))))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (* (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (/ 1 (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 22 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (sqrt (+ (* x.re y.re) (* x.im y.im))) (* (sqrt (+ (* x.re y.re) (* x.im y.im))) (/ 1 (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* x.re y.re) (* x.im y.im)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 46
* * [misc]simplify:  Extracting #5: cost 0 inf + 376
* [exit]simplify:  Simplified to (sqrt (+ (* x.im y.im) (* x.re y.re)))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (* (sqrt (+ (* x.im y.im) (* x.re y.re))) (* (sqrt (+ (* x.re y.re) (* x.im y.im))) (/ 1 (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 23 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* 1 (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 24 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (+ (* x.re y.re) (* x.im y.im)) 1) (+ (* y.re y.re) (* y.im y.im))))>
* [enter]simplify:  Simplifying (+ (* y.re y.re) (* y.im y.im))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 206
* [exit]simplify:  Simplified to (+ (* y.re y.re) (* y.im y.im))
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (/ (* (+ (* x.re y.re) (* x.im y.im)) 1) (+ (* y.re y.re) (* y.im y.im))))
* * * * [misc]progress:  [ 25 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))) (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im))))))>
* [enter]simplify:  Simplifying (* (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (/ 1 (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (241 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 12 inf + 0
* * [misc]simplify:  Extracting #2: cost 145 inf + 1
* * [misc]simplify:  Extracting #3: cost 267 inf + 455
* * [misc]simplify:  Extracting #4: cost 197 inf + 11313
* * [misc]simplify:  Extracting #5: cost 61 inf + 45448
* * [misc]simplify:  Extracting #6: cost 1 inf + 60116
* * [misc]simplify:  Extracting #7: cost 0 inf + 60440
* [exit]simplify:  Simplified to (/ (+ (* (* (* x.im y.im) (* x.im y.im)) (* x.im y.im)) (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re)))) (+ (* y.im y.im) (* y.re y.re)))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (/ (/ (+ (* (* (* x.im y.im) (* x.im y.im)) (* x.im y.im)) (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re)))) (+ (* y.im y.im) (* y.re y.re))) (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im))))))
* * * * [misc]progress:  [ 26 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (/ (* (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (/ 1 (+ (* y.re y.re) (* y.im y.im)))) (- (* x.re y.re) (* x.im y.im))))>
* [enter]simplify:  Simplifying (* (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (/ 1 (+ (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (223 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 43 inf + 0
* * [misc]simplify:  Extracting #2: cost 232 inf + 1
* * [misc]simplify:  Extracting #3: cost 307 inf + 3920
* * [misc]simplify:  Extracting #4: cost 65 inf + 58197
* * [misc]simplify:  Extracting #5: cost 0 inf + 77144
* [exit]simplify:  Simplified to (/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* y.im y.im) (* y.re y.re)))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (/ (/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* y.im y.im) (* y.re y.re))) (- (* x.re y.re) (* x.im y.im))))
* * * * [misc]progress:  [ 27 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (+ (* y.re y.re) (* y.im y.im))) (+ (* x.re y.re) (* x.im y.im))))>
* * * * [misc]progress:  [ 28 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (pow (+ (* y.re y.re) (* y.im y.im)) -1)))>
* * * * [misc]progress:  [ 29 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (pow (+ (* y.re y.re) (* y.im y.im)) (- 1))))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to -1
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (pow (+ (* y.re y.re) (* y.im y.im)) -1)))
* * * * [misc]progress:  [ 30 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (pow (/ 1 (+ (* y.re y.re) (* y.im y.im))) 1)))>
* * * * [misc]progress:  [ 31 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (exp (- (log (+ (* y.re y.re) (* y.im y.im)))))))>
* * * * [misc]progress:  [ 32 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (exp (log (/ 1 (+ (* y.re y.re) (* y.im y.im)))))))>
* * * * [misc]progress:  [ 33 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (log (exp (/ 1 (+ (* y.re y.re) (* y.im y.im)))))))>
* * * * [misc]progress:  [ 34 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (* (* (cbrt (/ 1 (+ (* y.re y.re) (* y.im y.im)))) (cbrt (/ 1 (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ 1 (+ (* y.re y.re) (* y.im y.im)))))))>
* * * * [misc]progress:  [ 35 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (cbrt (* (* (/ 1 (+ (* y.re y.re) (* y.im y.im))) (/ 1 (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))))>
* * * * [misc]progress:  [ 36 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (* (sqrt (/ 1 (+ (* y.re y.re) (* y.im y.im)))) (sqrt (/ 1 (+ (* y.re y.re) (* y.im y.im)))))))>
* * * * [misc]progress:  [ 37 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (/ (- 1) (- (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 38 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (* 1 (/ 1 (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 39 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (* 1 (/ 1 (+ (* y.re y.re) (* y.im y.im))))))>
* * * * [misc]progress:  [ 40 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (/ (+ (* y.re y.re) (* y.im y.im)) 1))))>
* * * * [misc]progress:  [ 41 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (/ (/ 1 (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (cbrt (+ (* y.re y.re) (* y.im y.im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 408
* [exit]simplify:  Simplified to (cbrt (+ (* y.re y.re) (* y.im y.im)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (/ (/ 1 (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 42 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (/ (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* y.re y.re) (* y.im y.im)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 2 inf + 0
* * [misc]simplify:  Extracting #2: cost 4 inf + 0
* * [misc]simplify:  Extracting #3: cost 6 inf + 0
* * [misc]simplify:  Extracting #4: cost 3 inf + 43
* * [misc]simplify:  Extracting #5: cost 0 inf + 368
* [exit]simplify:  Simplified to (sqrt (+ (* y.re y.re) (* y.im y.im)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (/ (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
* * * * [misc]progress:  [ 43 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (/ (/ 1 1) (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (+ (* y.re y.re) (* y.im y.im))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 5 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 43
* * [misc]simplify:  Extracting #4: cost 0 inf + 206
* [exit]simplify:  Simplified to (+ (* y.re y.re) (* y.im y.im))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (/ (/ 1 1) (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 44 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (* (/ 1 (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3))) (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im)))))))>
* [enter]simplify:  Simplifying (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (231 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 19 inf + 0
* * [misc]simplify:  Extracting #2: cost 99 inf + 0
* * [misc]simplify:  Extracting #3: cost 94 inf + 2316
* * [misc]simplify:  Extracting #4: cost 39 inf + 10421
* * [misc]simplify:  Extracting #5: cost 5 inf + 16009
* * [misc]simplify:  Extracting #6: cost 0 inf + 16619
* [exit]simplify:  Simplified to (+ (* (* y.im y.im) (- (* y.im y.im) (* y.re y.re))) (* (* y.re y.re) (* y.re y.re)))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (* (/ 1 (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3))) (+ (* (* y.im y.im) (- (* y.im y.im) (* y.re y.re))) (* (* y.re y.re) (* y.re y.re))))))
* * * * [misc]progress:  [ 45 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (* (/ 1 (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im)))) (- (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (- (* y.re y.re) (* y.im y.im))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 10 inf + 0
* * [misc]simplify:  Extracting #2: cost 19 inf + 0
* * [misc]simplify:  Extracting #3: cost 15 inf + 84
* * [misc]simplify:  Extracting #4: cost 3 inf + 946
* * [misc]simplify:  Extracting #5: cost 0 inf + 1192
* [exit]simplify:  Simplified to (* (+ y.re y.im) (- y.re y.im))
* [misc]simplify:  Simplified (2 2 2) to (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (* (/ 1 (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im)))) (* (+ y.re y.im) (- y.re y.im)))))
* * * * [misc]progress:  [ 46 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (log (* (exp (* x.re y.re)) (exp (* x.im y.im)))) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (* (exp (* x.re y.re)) (exp (* x.im y.im)))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 4 inf + 0
* * [misc]simplify:  Extracting #2: cost 10 inf + 0
* * [misc]simplify:  Extracting #3: cost 10 inf + 2
* * [misc]simplify:  Extracting #4: cost 5 inf + 229
* * [misc]simplify:  Extracting #5: cost 0 inf + 842
* * [misc]simplify:  Extracting #6: cost 0 inf + 772
* [exit]simplify:  Simplified to (exp (+ (* x.re y.re) (* x.im y.im)))
* [misc]simplify:  Simplified (2 1 1) to (λ (x.re x.im y.re y.im) (* (log (exp (+ (* x.re y.re) (* x.im y.im)))) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 47 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (pow (+ (* x.re y.re) (* x.im y.im)) 1) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 48 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (exp (log (+ (* x.re y.re) (* x.im y.im)))) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 49 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (log (exp (+ (* x.re y.re) (* x.im y.im)))) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 50 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (* (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 51 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (cbrt (* (* (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 52 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (* (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* x.re y.re) (* x.im y.im)))) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 53 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im))))) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 54 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (* 1 (+ (* x.re y.re) (* x.im y.im))) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 55 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (- (* x.re y.re) (* x.im y.im))) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 56 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* x.im y.im) (* x.re y.re)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))>
* * * * [misc]progress:  [ 57 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2) to (λ (x.re x.im y.re y.im) 0)
* * * * [misc]progress:  [ 58 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2) to (λ (x.re x.im y.re y.im) 0)
* * * * [misc]progress:  [ 59 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2) to (λ (x.re x.im y.re y.im) 0)
* * * * [misc]progress:  [ 60 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) 0))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) 0))
* * * * [misc]progress:  [ 61 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) 0))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) 0))
* * * * [misc]progress:  [ 62 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) 0))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2) to (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) 0))
* * * * [misc]progress:  [ 63 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* 0 (/ 1 (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 0 inf + 1
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (* 0 (/ 1 (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 64 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* y.im x.im) (* y.re x.re)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (+ (* y.im x.im) (* y.re x.re))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 46
* * [misc]simplify:  Extracting #4: cost 0 inf + 212
* [exit]simplify:  Simplified to (+ (* y.re x.re) (* y.im x.im))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (* (+ (* y.re x.re) (* y.im x.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))
* * * * [misc]progress:  [ 65 / 65 ] simplifiying candidate #<alt (λ (x.re x.im y.re y.im) (* (+ (* y.im x.im) (* y.re x.re)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))>
* [enter]simplify:  Simplifying (+ (* y.im x.im) (* y.re x.re))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 7 inf + 0
* * [misc]simplify:  Extracting #3: cost 2 inf + 46
* * [misc]simplify:  Extracting #4: cost 0 inf + 212
* [exit]simplify:  Simplified to (+ (* y.re x.re) (* y.im x.im))
* [misc]simplify:  Simplified (2 1) to (λ (x.re x.im y.re y.im) (* (+ (* y.re x.re) (* y.im x.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime:  Finding splitpoints for: (#<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (- x.re) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* (* (cbrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im))))) (cbrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))) (cbrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))))> #<alt (λ (x.re x.im y.re y.im) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (/ (+ (* y.re y.re) (* y.im y.im)) (cbrt (+ (* x.re y.re) (* x.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (exp (log (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>)
* * * [misc]regime-changes:  Trying 5 branch expressions: (y.im x.im y.re x.re (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))
* * * * [misc]regimes:  Trying to branch on y.im from (#<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (- x.re) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* (* (cbrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im))))) (cbrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))) (cbrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))))> #<alt (λ (x.re x.im y.re y.im) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (/ (+ (* y.re y.re) (* y.im y.im)) (cbrt (+ (* x.re y.re) (* x.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (exp (log (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>)
* * * * [misc]regimes:  Trying to branch on x.im from (#<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (- x.re) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* (* (cbrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im))))) (cbrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))) (cbrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))))> #<alt (λ (x.re x.im y.re y.im) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (/ (+ (* y.re y.re) (* y.im y.im)) (cbrt (+ (* x.re y.re) (* x.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (exp (log (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>)
* * * * [misc]regimes:  Trying to branch on y.re from (#<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (- x.re) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* (* (cbrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im))))) (cbrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))) (cbrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))))> #<alt (λ (x.re x.im y.re y.im) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (/ (+ (* y.re y.re) (* y.im y.im)) (cbrt (+ (* x.re y.re) (* x.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (exp (log (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>)
* * * * [misc]regimes:  Trying to branch on x.re from (#<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (- x.re) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* (* (cbrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im))))) (cbrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))) (cbrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))))> #<alt (λ (x.re x.im y.re y.im) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (/ (+ (* y.re y.re) (* y.im y.im)) (cbrt (+ (* x.re y.re) (* x.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (exp (log (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>)
* * * * [misc]regimes:  Trying to branch on (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) from (#<alt (λ (x.re x.im y.re y.im) (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (- x.re) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* (* (cbrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im))))) (cbrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))) (cbrt (* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im)))))))> #<alt (λ (x.re x.im y.re y.im) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (/ (+ (* y.re y.re) (* y.im y.im)) (cbrt (+ (* x.re y.re) (* x.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (exp (log (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))>)
* * * * [misc]regimes:  Trying to branch on (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) from (#<alt (λ (x.re x.im y.re y.im) (* (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))))> #<alt (λ (x.re x.im y.re y.im) (exp (log (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))))>)
* * * [misc]regime:  Found split indices: #<option (#s(si 6 256))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  Extracting #0: cost 1 inf + 0
* * [misc]simplify:  Extracting #1: cost 3 inf + 0
* * [misc]simplify:  Extracting #2: cost 6 inf + 0
* * [misc]simplify:  Extracting #3: cost 8 inf + 1
* * [misc]simplify:  Extracting #4: cost 14 inf + 1
* * [misc]simplify:  Extracting #5: cost 8 inf + 89
* * [misc]simplify:  Extracting #6: cost 4 inf + 417
* * [misc]simplify:  Extracting #7: cost 1 inf + 1106
* * [misc]simplify:  Extracting #8: cost 0 inf + 1511
* [exit]simplify:  Simplified to (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
* * * * [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 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 250 of 8000 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 125 of 8000 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 62 of 8000 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 31 of 8000 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 15 of 8000 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 7 of 8000 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:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 448 additional inputs, on iter 1 have 7552 / 8000
* * * * [misc]points:  Computing exacts on every 28 of 448 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 14 of 448 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 7 of 448 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 3 of 448 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 448 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 24 additional inputs, on iter 2 have 7976 / 8000
* * * * [misc]points:  Computing exacts for 24 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 3 have 7997 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8001 points with exact outputs