* [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 58 additional inputs, on iter 1 have 198 / 256
* * * * [misc]points:  Computing exacts on every 3 of 58 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 58 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 13 additional inputs, on iter 2 have 243 / 256
* * * * [misc]points:  Computing exacts for 13 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 3 have 252 / 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
* * * * [misc]points:  Sampling 4 additional inputs, on iter 4 have 255 / 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 (* (exp re) (cos im))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (cos im) (exp re))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-event (λ (re im) (* (exp re) (cos im)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 1 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 1 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (exp re) (cos im)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (exp re) (cos im)) in im
* [misc]taylor:  Taking taylor expansion of (exp re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (exp re) into (exp re)
* [misc]taylor:  Taking taylor expansion of (cos im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (exp re) (cos im)) in re
* [misc]taylor:  Taking taylor expansion of (exp re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cos im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (cos im) into (cos im)
* [misc]backup-simplify:  Simplify (sin im) into (sin im)
* [misc]taylor:  Taking taylor expansion of (* (exp re) (cos im)) in re
* [misc]taylor:  Taking taylor expansion of (exp re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cos im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (cos im) into (cos im)
* [misc]backup-simplify:  Simplify (sin im) into (sin im)
* [misc]backup-simplify:  Simplify (* (cos im) 1) into (cos im)
* [misc]backup-simplify:  Simplify (* (sin im) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos im) 0) into (cos im)
* [misc]backup-simplify:  Simplify (* 1 (cos im)) into (cos im)
* [misc]taylor:  Taking taylor expansion of (cos im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos im) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin im) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 1 (cos im))) into (cos im)
* [misc]taylor:  Taking taylor expansion of (cos im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos im) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin im) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (* 1/2 (cos im)))) into (* 1/2 (cos im))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (cos im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1/2 (pow (* 1 re) 2)) (+ (* 1 (* 1 re)) 1)) into (+ 1 (+ re (* 1/2 (pow re 2))))
* [misc]approximate:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (exp (/ 1 re)) into (exp (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 im)) into (cos (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (exp (/ 1 re)) into (exp (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (cos (/ 1 im)) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (sin (/ 1 im)) into (sin (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (exp (/ 1 re)) into (exp (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (cos (/ 1 im)) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (sin (/ 1 im)) into (sin (/ 1 im))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 im)) 1) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 im)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 im)) 0) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (cos (/ 1 im))) into (* (exp (/ 1 re)) (cos (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (exp (/ 1 re)) into (exp (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 im)) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (cos (/ 1 im))) into (* (exp (/ 1 re)) (cos (/ 1 im)))
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (cos (/ 1 im))) into (* (exp (/ 1 re)) (cos (/ 1 im)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 im)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 im)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (* 0 (cos (/ 1 im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (* 0 (cos (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 im)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 im)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (+ (* 0 0) (* 0 (cos (/ 1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (+ (* 0 0) (* 0 (cos (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp (/ 1 (/ 1 re))) (cos (/ 1 (/ 1 im)))) into (* (exp re) (cos im))
* [misc]approximate:  Taking taylor expansion of (* (exp (/ 1 (- re))) (cos (/ 1 (- im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 (- re))) (cos (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]backup-simplify:  Simplify (exp (/ -1 re)) into (exp (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- im))) into (cos (/ -1 im))
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 (- re))) (cos (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (exp (/ 1 (- re))) into (exp (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (cos (/ -1 im)) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (sin (/ -1 im)) into (sin (/ -1 im))
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 (- re))) (cos (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (exp (/ 1 (- re))) into (exp (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (cos (/ -1 im)) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (sin (/ -1 im)) into (sin (/ -1 im))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 im)) 1) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 im)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 im)) 0) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (cos (/ -1 im))) into (* (exp (/ -1 re)) (cos (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ -1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ -1 re) in im
* [misc]taylor:  Taking taylor expansion of -1 in im
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ -1 re) into (/ -1 re)
* [misc]backup-simplify:  Simplify (exp (/ -1 re)) into (exp (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ -1 im) in im
* [misc]taylor:  Taking taylor expansion of -1 in im
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (cos (/ -1 im)) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (cos (/ -1 im))) into (* (exp (/ -1 re)) (cos (/ -1 im)))
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (cos (/ -1 im))) into (* (exp (/ -1 re)) (cos (/ -1 im)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 im)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 im)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (* 0 (cos (/ -1 im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (* 0 (cos (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 im)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 im)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (+ (* 0 0) (* 0 (cos (/ -1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (+ (* 0 0) (* 0 (cos (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp (/ -1 (/ 1 (- re)))) (cos (/ -1 (/ 1 (- im))))) into (* (exp re) (cos im))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 20 ] simplifiying candidate #<alt-delta (λ (re im) (pow (* (exp re) (cos im)) 1))>
* [enter]simplify:  Simplifying (* (exp re) (cos im))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (cos im) (exp re))
* [exit]simplify:  Simplified to (* (cos im) (exp re))
* * * * [misc]progress:  [ 2 / 20 ] simplifiying candidate #<alt-delta (λ (re im) (pow (* (exp re) (cos im)) 1))>
* * * * [misc]progress:  [ 3 / 20 ] simplifiying candidate #<alt-delta (λ (re im) (exp (+ re (log (cos im)))))>
* [enter]simplify:  Simplifying (+ re (log (cos im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (+ re (log (cos im)))
* [exit]simplify:  Simplified to (+ re (log (cos im)))
* * * * [misc]progress:  [ 4 / 20 ] simplifiying candidate #<alt-delta (λ (re im) (exp (log (* (exp re) (cos im)))))>
* [enter]simplify:  Simplifying (log (* (exp re) (cos im)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (+ re (log (cos im)))
* [exit]simplify:  Simplified to (+ re (log (cos im)))
* * * * [misc]progress:  [ 5 / 20 ] simplifiying candidate #<alt-delta (λ (re im) (log (exp (* (exp re) (cos im)))))>
* [enter]simplify:  Simplifying (exp (* (exp re) (cos im)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (exp (* (cos im) (exp re)))
* [exit]simplify:  Simplified to (exp (* (cos im) (exp re)))
* * * * [misc]progress:  [ 6 / 20 ] simplifiying candidate #<alt-delta (λ (re im) (cbrt (* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))))>
* [enter]simplify:  Simplifying (* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (99 enodes)
* [exit]simplify:  Simplified to (pow (* (cos im) (exp re)) 3)
* [exit]simplify:  Simplified to (pow (* (cos im) (exp re)) 3)
* * * * [misc]progress:  [ 7 / 20 ] simplifiying candidate #<alt-delta (λ (re im) (* (* (cbrt (* (exp re) (cos im))) (cbrt (* (exp re) (cos im)))) (cbrt (* (exp re) (cos im)))))>
* [enter]simplify:  Simplifying (* (cbrt (* (exp re) (cos im))) (cbrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (cos im) (exp re))) (cbrt (* (cos im) (exp re))))
* [exit]simplify:  Simplified to (* (cbrt (* (cos im) (exp re))) (cbrt (* (cos im) (exp re))))
* [enter]simplify:  Simplifying (cbrt (* (exp re) (cos im)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cos im) (exp re)))
* [exit]simplify:  Simplified to (cbrt (* (cos im) (exp re)))
* * * * [misc]progress:  [ 8 / 20 ] simplifiying candidate #<alt-delta (λ (re im) (cbrt (* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im)))))>
* [enter]simplify:  Simplifying (* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* * [misc]simplify:  iters left: 1 (100 enodes)
* [exit]simplify:  Simplified to (pow (* (cos im) (exp re)) 3)
* [exit]simplify:  Simplified to (pow (* (cos im) (exp re)) 3)
* * * * [misc]progress:  [ 9 / 20 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))))>
* [enter]simplify:  Simplifying (sqrt (* (exp re) (cos im)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (* (cos im) (exp re)))
* [exit]simplify:  Simplified to (sqrt (* (cos im) (exp re)))
* [enter]simplify:  Simplifying (sqrt (* (exp re) (cos im)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (* (cos im) (exp re)))
* [exit]simplify:  Simplified to (sqrt (* (cos im) (exp re)))
* * * * [misc]progress:  [ 10 / 20 ] simplifiying candidate #<alt-delta (λ (re im) (* 1 (* (exp re) (cos im))))>
* * * * [misc]progress:  [ 11 / 20 ] simplifiying candidate #<alt-delta (λ (re im) (* (* (exp re) (* (cbrt (cos im)) (cbrt (cos im)))) (cbrt (cos im))))>
* [enter]simplify:  Simplifying (* (exp re) (* (cbrt (cos im)) (cbrt (cos im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (* (* (exp re) (cbrt (cos im))) (cbrt (cos im)))
* [exit]simplify:  Simplified to (* (* (exp re) (cbrt (cos im))) (cbrt (cos im)))
* * * * [misc]progress:  [ 12 / 20 ] simplifiying candidate #<alt-delta (λ (re im) (* (* (exp re) (sqrt (cos im))) (sqrt (cos im))))>
* [enter]simplify:  Simplifying (* (exp re) (sqrt (cos im)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (* (exp re) (sqrt (cos im)))
* [exit]simplify:  Simplified to (* (exp re) (sqrt (cos im)))
* * * * [misc]progress:  [ 13 / 20 ] simplifiying candidate #<alt-delta (λ (re im) (* (* (exp re) 1) (cos im)))>
* [enter]simplify:  Simplifying (* (exp re) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (exp re)
* [exit]simplify:  Simplified to (exp re)
* * * * [misc]progress:  [ 14 / 20 ] simplifiying candidate #<alt-delta (λ (re im) (* (* (cbrt (exp re)) (cbrt (exp re))) (* (cbrt (exp re)) (cos im))))>
* [enter]simplify:  Simplifying (* (cbrt (exp re)) (cos im))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (* (cbrt (exp re)) (cos im))
* [exit]simplify:  Simplified to (* (cbrt (exp re)) (cos im))
* * * * [misc]progress:  [ 15 / 20 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im))))>
* [enter]simplify:  Simplifying (* (sqrt (exp re)) (cos im))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (* (sqrt (exp re)) (cos im))
* [exit]simplify:  Simplified to (* (sqrt (exp re)) (cos im))
* * * * [misc]progress:  [ 16 / 20 ] simplifiying candidate #<alt-delta (λ (re im) (* 1 (* (exp re) (cos im))))>
* [enter]simplify:  Simplifying (* (exp re) (cos im))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (cos im) (exp re))
* [exit]simplify:  Simplified to (* (cos im) (exp re))
* * * * [misc]progress:  [ 17 / 20 ] simplifiying candidate #<alt-delta (λ (re im) (* (cos im) (exp re)))>
* * * * [misc]progress:  [ 18 / 20 ] simplifiying candidate #<alt-event (λ (re im) (+ 1 (+ re (* 1/2 (pow re 2)))))>
* [enter]simplify:  Simplifying (+ 1 (+ re (* 1/2 (pow re 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (+ (+ re 1) (* (* 1/2 re) re))
* * * * [misc]progress:  [ 19 / 20 ] simplifiying candidate #<alt-event (λ (re im) (* (exp re) (cos im)))>
* [enter]simplify:  Simplifying (* (exp re) (cos im))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (cos im) (exp re))
* * * * [misc]progress:  [ 20 / 20 ] simplifiying candidate #<alt-event (λ (re im) (* (exp re) (cos im)))>
* [enter]simplify:  Simplifying (* (exp re) (cos im))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (cos im) (exp re))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp re) (cos im))) in im
* [misc]taylor:  Taking taylor expansion of (* (exp re) (cos im)) in im
* [misc]taylor:  Taking taylor expansion of (exp re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (exp re) into (exp re)
* [misc]taylor:  Taking taylor expansion of (cos im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp re) 1) into (exp re)
* [misc]backup-simplify:  Simplify (sqrt (exp re)) into (sqrt (exp re))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (* (exp re) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp re) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp re) (cos im))) in im
* [misc]taylor:  Taking taylor expansion of (* (exp re) (cos im)) in im
* [misc]taylor:  Taking taylor expansion of (exp re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (exp re) into (exp re)
* [misc]taylor:  Taking taylor expansion of (cos im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp re) 1) into (exp re)
* [misc]backup-simplify:  Simplify (sqrt (exp re)) into (sqrt (exp re))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (* (exp re) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp re) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp re)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp re) (cos im))) in re
* [misc]taylor:  Taking taylor expansion of (* (exp re) (cos im)) in re
* [misc]taylor:  Taking taylor expansion of (exp re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cos im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (cos im) into (cos im)
* [misc]backup-simplify:  Simplify (sin im) into (sin im)
* [misc]backup-simplify:  Simplify (* (cos im) 1) into (cos im)
* [misc]backup-simplify:  Simplify (* (sin im) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos im) 0) into (cos im)
* [misc]backup-simplify:  Simplify (* 1 (cos im)) into (cos im)
* [misc]backup-simplify:  Simplify (sqrt (cos im)) into (sqrt (cos im))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos im) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin im) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 1 (cos im))) into (cos im)
* [misc]backup-simplify:  Simplify (/ (cos im) (* 2 (sqrt (cos im)))) into (* 1/2 (sqrt (cos im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp re) (cos im))) in re
* [misc]taylor:  Taking taylor expansion of (* (exp re) (cos im)) in re
* [misc]taylor:  Taking taylor expansion of (exp re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cos im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (cos im) into (cos im)
* [misc]backup-simplify:  Simplify (sin im) into (sin im)
* [misc]backup-simplify:  Simplify (* (cos im) 1) into (cos im)
* [misc]backup-simplify:  Simplify (* (sin im) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos im) 0) into (cos im)
* [misc]backup-simplify:  Simplify (* 1 (cos im)) into (cos im)
* [misc]backup-simplify:  Simplify (sqrt (cos im)) into (sqrt (cos im))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos im) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin im) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 1 (cos im))) into (cos im)
* [misc]backup-simplify:  Simplify (/ (cos im) (* 2 (sqrt (cos im)))) into (* 1/2 (sqrt (cos im)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp re) (cos im))) in re
* [misc]taylor:  Taking taylor expansion of (* (exp re) (cos im)) in re
* [misc]taylor:  Taking taylor expansion of (exp re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cos im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (cos im) into (cos im)
* [misc]backup-simplify:  Simplify (sin im) into (sin im)
* [misc]backup-simplify:  Simplify (* (cos im) 1) into (cos im)
* [misc]backup-simplify:  Simplify (* (sin im) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos im) 0) into (cos im)
* [misc]backup-simplify:  Simplify (* 1 (cos im)) into (cos im)
* [misc]backup-simplify:  Simplify (sqrt (cos im)) into (sqrt (cos im))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos im) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin im) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 1 (cos im))) into (cos im)
* [misc]backup-simplify:  Simplify (/ (cos im) (* 2 (sqrt (cos im)))) into (* 1/2 (sqrt (cos im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp re) (cos im))) in re
* [misc]taylor:  Taking taylor expansion of (* (exp re) (cos im)) in re
* [misc]taylor:  Taking taylor expansion of (exp re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cos im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (cos im) into (cos im)
* [misc]backup-simplify:  Simplify (sin im) into (sin im)
* [misc]backup-simplify:  Simplify (* (cos im) 1) into (cos im)
* [misc]backup-simplify:  Simplify (* (sin im) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos im) 0) into (cos im)
* [misc]backup-simplify:  Simplify (* 1 (cos im)) into (cos im)
* [misc]backup-simplify:  Simplify (sqrt (cos im)) into (sqrt (cos im))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos im) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin im) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 1 (cos im))) into (cos im)
* [misc]backup-simplify:  Simplify (/ (cos im) (* 2 (sqrt (cos im)))) into (* 1/2 (sqrt (cos im)))
* [misc]backup-simplify:  Simplify (* (sqrt (cos im)) (sqrt (cos im))) into (cos im)
* [misc]taylor:  Taking taylor expansion of (cos im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* (sqrt (cos im)) (* 1/2 (sqrt (cos im)))) (* (* 1/2 (sqrt (cos im))) (sqrt (cos im)))) into (cos im)
* [misc]taylor:  Taking taylor expansion of (cos im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos im) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin im) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (* 1/2 (cos im)))) into (* 1/2 (cos im))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (cos im)) (pow (* 1/2 (sqrt (cos im))) 2) (+)) (* 2 (sqrt (cos im)))) into (* 1/8 (sqrt (cos im)))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos im) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin im) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (* 1/2 (cos im)))) into (* 1/2 (cos im))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (cos im)) (pow (* 1/2 (sqrt (cos im))) 2) (+)) (* 2 (sqrt (cos im)))) into (* 1/8 (sqrt (cos im)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (cos im)) (* 1/8 (sqrt (cos im)))) (+ (* (* 1/2 (sqrt (cos im))) (* 1/2 (sqrt (cos im)))) (* (* 1/8 (sqrt (cos im))) (sqrt (cos im))))) into (* 1/2 (cos im))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (cos im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1/2 (pow (* 1 re) 2)) (+ (* 1 (* 1 re)) 1)) into (+ 1 (+ re (* 1/2 (pow re 2))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) (sqrt (* (exp (/ 1 re)) (cos (/ 1 im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) (sqrt (* (exp (/ 1 re)) (cos (/ 1 im))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (exp (/ 1 re)) into (exp (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 im)) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (cos (/ 1 im))) into (* (exp (/ 1 re)) (cos (/ 1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) into (sqrt (* (exp (/ 1 re)) (cos (/ 1 im))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (* 0 (cos (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (exp (/ 1 re)) into (exp (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 im)) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (cos (/ 1 im))) into (* (exp (/ 1 re)) (cos (/ 1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) into (sqrt (* (exp (/ 1 re)) (cos (/ 1 im))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (* 0 (cos (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) (sqrt (* (exp (/ 1 re)) (cos (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (exp (/ 1 re)) into (exp (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (cos (/ 1 im)) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (sin (/ 1 im)) into (sin (/ 1 im))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 im)) 1) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 im)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 im)) 0) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (cos (/ 1 im))) into (* (exp (/ 1 re)) (cos (/ 1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) into (sqrt (* (exp (/ 1 re)) (cos (/ 1 im))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 im)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 im)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (* 0 (cos (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (exp (/ 1 re)) into (exp (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (cos (/ 1 im)) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (sin (/ 1 im)) into (sin (/ 1 im))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 im)) 1) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 im)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 im)) 0) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (cos (/ 1 im))) into (* (exp (/ 1 re)) (cos (/ 1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) into (sqrt (* (exp (/ 1 re)) (cos (/ 1 im))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 im)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 im)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (* 0 (cos (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) (sqrt (* (exp (/ 1 re)) (cos (/ 1 im))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (exp (/ 1 re)) into (exp (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (cos (/ 1 im)) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (sin (/ 1 im)) into (sin (/ 1 im))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 im)) 1) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 im)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 im)) 0) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (cos (/ 1 im))) into (* (exp (/ 1 re)) (cos (/ 1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) into (sqrt (* (exp (/ 1 re)) (cos (/ 1 im))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 im)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 im)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (* 0 (cos (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (exp (/ 1 re)) into (exp (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (cos (/ 1 im)) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (sin (/ 1 im)) into (sin (/ 1 im))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 im)) 1) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 im)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 im)) 0) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (cos (/ 1 im))) into (* (exp (/ 1 re)) (cos (/ 1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) into (sqrt (* (exp (/ 1 re)) (cos (/ 1 im))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 im)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 im)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (* 0 (cos (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) (sqrt (* (exp (/ 1 re)) (cos (/ 1 im))))) into (* (exp (/ 1 re)) (cos (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (exp (/ 1 re)) into (exp (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 im)) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (cos (/ 1 im))) into (* (exp (/ 1 re)) (cos (/ 1 im)))
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (cos (/ 1 im))) into (* (exp (/ 1 re)) (cos (/ 1 im)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) 0) (* 0 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (* 0 (cos (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 im)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 im)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (+ (* 0 0) (* 0 (cos (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 im)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 im)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (+ (* 0 0) (* 0 (cos (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) 0) (+ (* 0 0) (* 0 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (+ (* 0 0) (* 0 (cos (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp (/ 1 (/ 1 re))) (cos (/ 1 (/ 1 im)))) into (* (exp re) (cos im))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (* (exp (/ 1 (- re))) (cos (/ 1 (- im))))) (sqrt (* (exp (/ 1 (- re))) (cos (/ 1 (- im)))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (exp (/ 1 (- re))) (cos (/ 1 (- im))))) (sqrt (* (exp (/ 1 (- re))) (cos (/ 1 (- im)))))) in im
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 (- re))) (cos (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 (- re))) (cos (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]backup-simplify:  Simplify (exp (/ -1 re)) into (exp (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- im))) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (cos (/ -1 im))) into (* (exp (/ -1 re)) (cos (/ -1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))) into (sqrt (* (exp (/ -1 re)) (cos (/ -1 im))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (* 0 (cos (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 (- re))) (cos (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 (- re))) (cos (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]backup-simplify:  Simplify (exp (/ -1 re)) into (exp (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- im))) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (cos (/ -1 im))) into (* (exp (/ -1 re)) (cos (/ -1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))) into (sqrt (* (exp (/ -1 re)) (cos (/ -1 im))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (* 0 (cos (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (exp (/ 1 (- re))) (cos (/ 1 (- im))))) (sqrt (* (exp (/ 1 (- re))) (cos (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 (- re))) (cos (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 (- re))) (cos (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (exp (/ 1 (- re))) into (exp (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (cos (/ -1 im)) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (sin (/ -1 im)) into (sin (/ -1 im))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 im)) 1) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 im)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 im)) 0) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (cos (/ -1 im))) into (* (exp (/ -1 re)) (cos (/ -1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))) into (sqrt (* (exp (/ -1 re)) (cos (/ -1 im))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 im)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 im)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (* 0 (cos (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 (- re))) (cos (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 (- re))) (cos (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (exp (/ 1 (- re))) into (exp (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (cos (/ -1 im)) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (sin (/ -1 im)) into (sin (/ -1 im))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 im)) 1) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 im)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 im)) 0) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (cos (/ -1 im))) into (* (exp (/ -1 re)) (cos (/ -1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))) into (sqrt (* (exp (/ -1 re)) (cos (/ -1 im))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 im)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 im)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (* 0 (cos (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (exp (/ 1 (- re))) (cos (/ 1 (- im))))) (sqrt (* (exp (/ 1 (- re))) (cos (/ 1 (- im)))))) in re
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 (- re))) (cos (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 (- re))) (cos (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (exp (/ 1 (- re))) into (exp (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (cos (/ -1 im)) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (sin (/ -1 im)) into (sin (/ -1 im))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 im)) 1) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 im)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 im)) 0) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (cos (/ -1 im))) into (* (exp (/ -1 re)) (cos (/ -1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))) into (sqrt (* (exp (/ -1 re)) (cos (/ -1 im))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 im)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 im)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (* 0 (cos (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 (- re))) (cos (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 (- re))) (cos (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (exp (/ 1 (- re))) into (exp (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (cos (/ -1 im)) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (sin (/ -1 im)) into (sin (/ -1 im))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 im)) 1) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 im)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 im)) 0) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (cos (/ -1 im))) into (* (exp (/ -1 re)) (cos (/ -1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))) into (sqrt (* (exp (/ -1 re)) (cos (/ -1 im))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 im)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 im)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (* 0 (cos (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))) (sqrt (* (exp (/ -1 re)) (cos (/ -1 im))))) into (* (exp (/ -1 re)) (cos (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ -1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ -1 re) in im
* [misc]taylor:  Taking taylor expansion of -1 in im
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ -1 re) into (/ -1 re)
* [misc]backup-simplify:  Simplify (exp (/ -1 re)) into (exp (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ -1 im) in im
* [misc]taylor:  Taking taylor expansion of -1 in im
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (cos (/ -1 im)) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (cos (/ -1 im))) into (* (exp (/ -1 re)) (cos (/ -1 im)))
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (cos (/ -1 im))) into (* (exp (/ -1 re)) (cos (/ -1 im)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))) 0) (* 0 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (* 0 (cos (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 im)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 im)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (+ (* 0 0) (* 0 (cos (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 im)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 im)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (+ (* 0 0) (* 0 (cos (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))) 0) (+ (* 0 0) (* 0 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (+ (* 0 0) (* 0 (cos (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp (/ -1 (/ 1 (- re)))) (cos (/ -1 (/ 1 (- im))))) into (* (exp re) (cos im))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (* (exp re) (cos im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp re) (cos im))) in im
* [misc]taylor:  Taking taylor expansion of (* (exp re) (cos im)) in im
* [misc]taylor:  Taking taylor expansion of (exp re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (exp re) into (exp re)
* [misc]taylor:  Taking taylor expansion of (cos im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp re) 1) into (exp re)
* [misc]backup-simplify:  Simplify (sqrt (exp re)) into (sqrt (exp re))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (* (exp re) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp re) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp re) (cos im))) in re
* [misc]taylor:  Taking taylor expansion of (* (exp re) (cos im)) in re
* [misc]taylor:  Taking taylor expansion of (exp re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cos im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (cos im) into (cos im)
* [misc]backup-simplify:  Simplify (sin im) into (sin im)
* [misc]backup-simplify:  Simplify (* (cos im) 1) into (cos im)
* [misc]backup-simplify:  Simplify (* (sin im) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos im) 0) into (cos im)
* [misc]backup-simplify:  Simplify (* 1 (cos im)) into (cos im)
* [misc]backup-simplify:  Simplify (sqrt (cos im)) into (sqrt (cos im))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos im) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin im) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 1 (cos im))) into (cos im)
* [misc]backup-simplify:  Simplify (/ (cos im) (* 2 (sqrt (cos im)))) into (* 1/2 (sqrt (cos im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp re) (cos im))) in re
* [misc]taylor:  Taking taylor expansion of (* (exp re) (cos im)) in re
* [misc]taylor:  Taking taylor expansion of (exp re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cos im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (cos im) into (cos im)
* [misc]backup-simplify:  Simplify (sin im) into (sin im)
* [misc]backup-simplify:  Simplify (* (cos im) 1) into (cos im)
* [misc]backup-simplify:  Simplify (* (sin im) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos im) 0) into (cos im)
* [misc]backup-simplify:  Simplify (* 1 (cos im)) into (cos im)
* [misc]backup-simplify:  Simplify (sqrt (cos im)) into (sqrt (cos im))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos im) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin im) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 1 (cos im))) into (cos im)
* [misc]backup-simplify:  Simplify (/ (cos im) (* 2 (sqrt (cos im)))) into (* 1/2 (sqrt (cos im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (cos im)) in im
* [misc]taylor:  Taking taylor expansion of (cos im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sqrt (cos im))) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (cos im)) in im
* [misc]taylor:  Taking taylor expansion of (cos im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos im) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin im) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (* 1/2 (cos im)))) into (* 1/2 (cos im))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (cos im)) (pow (* 1/2 (sqrt (cos im))) 2) (+)) (* 2 (sqrt (cos im)))) into (* 1/8 (sqrt (cos im)))
* [misc]taylor:  Taking taylor expansion of (* 1/8 (sqrt (cos im))) in im
* [misc]taylor:  Taking taylor expansion of 1/8 in im
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (sqrt (cos im)) in im
* [misc]taylor:  Taking taylor expansion of (cos im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* 1/8 1) into 1/8
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]backup-simplify:  Simplify (+ (* 1/8 (pow (* 1 re) 2)) (+ (* 1/2 (* 1 re)) 1)) into (+ 1 (+ (* 1/2 re) (* 1/8 (pow re 2))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (exp (/ 1 re)) into (exp (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 im)) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (cos (/ 1 im))) into (* (exp (/ 1 re)) (cos (/ 1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) into (sqrt (* (exp (/ 1 re)) (cos (/ 1 im))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (* 0 (cos (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (exp (/ 1 re)) into (exp (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (cos (/ 1 im)) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (sin (/ 1 im)) into (sin (/ 1 im))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 im)) 1) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 im)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 im)) 0) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (cos (/ 1 im))) into (* (exp (/ 1 re)) (cos (/ 1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) into (sqrt (* (exp (/ 1 re)) (cos (/ 1 im))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 im)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 im)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (* 0 (cos (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (exp (/ 1 re)) into (exp (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (cos (/ 1 im)) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (sin (/ 1 im)) into (sin (/ 1 im))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 im)) 1) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 im)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 im)) 0) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (cos (/ 1 im))) into (* (exp (/ 1 re)) (cos (/ 1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) into (sqrt (* (exp (/ 1 re)) (cos (/ 1 im))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 im)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 im)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (* 0 (cos (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (exp (/ 1 re)) into (exp (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 im)) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (cos (/ 1 im))) into (* (exp (/ 1 re)) (cos (/ 1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) into (sqrt (* (exp (/ 1 re)) (cos (/ 1 im))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (* 0 (cos (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) into (sqrt (* (exp (/ 1 re)) (cos (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 im)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 im)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (+ (* 0 0) (* 0 (cos (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (+ (* 0 0) (* 0 (cos (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ 1 (/ 1 re))) (cos (/ 1 (/ 1 im))))) into (sqrt (* (exp re) (cos im)))
* [misc]approximate:  Taking taylor expansion of (sqrt (* (exp (/ 1 (- re))) (cos (/ 1 (- im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 (- re))) (cos (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 (- re))) (cos (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]backup-simplify:  Simplify (exp (/ -1 re)) into (exp (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- im))) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (cos (/ -1 im))) into (* (exp (/ -1 re)) (cos (/ -1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))) into (sqrt (* (exp (/ -1 re)) (cos (/ -1 im))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (* 0 (cos (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 (- re))) (cos (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 (- re))) (cos (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (exp (/ 1 (- re))) into (exp (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (cos (/ -1 im)) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (sin (/ -1 im)) into (sin (/ -1 im))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 im)) 1) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 im)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 im)) 0) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (cos (/ -1 im))) into (* (exp (/ -1 re)) (cos (/ -1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))) into (sqrt (* (exp (/ -1 re)) (cos (/ -1 im))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 im)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 im)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (* 0 (cos (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 (- re))) (cos (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 (- re))) (cos (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (exp (/ 1 (- re))) into (exp (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (cos (/ -1 im)) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (sin (/ -1 im)) into (sin (/ -1 im))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 im)) 1) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 im)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 im)) 0) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (cos (/ -1 im))) into (* (exp (/ -1 re)) (cos (/ -1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))) into (sqrt (* (exp (/ -1 re)) (cos (/ -1 im))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 im)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 im)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (* 0 (cos (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ -1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ -1 re) in im
* [misc]taylor:  Taking taylor expansion of -1 in im
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ -1 re) into (/ -1 re)
* [misc]backup-simplify:  Simplify (exp (/ -1 re)) into (exp (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ -1 im) in im
* [misc]taylor:  Taking taylor expansion of -1 in im
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (cos (/ -1 im)) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (cos (/ -1 im))) into (* (exp (/ -1 re)) (cos (/ -1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))) into (sqrt (* (exp (/ -1 re)) (cos (/ -1 im))))
* [misc]backup-simplify:  Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (* 0 (cos (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))) into (sqrt (* (exp (/ -1 re)) (cos (/ -1 im))))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 im)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 im)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (+ (* 0 0) (* 0 (cos (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (+ (* 0 0) (* 0 (cos (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ -1 (/ 1 (- re)))) (cos (/ -1 (/ 1 (- im)))))) into (sqrt (* (exp re) (cos im)))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (* (exp re) (cos im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp re) (cos im))) in im
* [misc]taylor:  Taking taylor expansion of (* (exp re) (cos im)) in im
* [misc]taylor:  Taking taylor expansion of (exp re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (exp re) into (exp re)
* [misc]taylor:  Taking taylor expansion of (cos im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp re) 1) into (exp re)
* [misc]backup-simplify:  Simplify (sqrt (exp re)) into (sqrt (exp re))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (* (exp re) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp re) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp re)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp re) (cos im))) in re
* [misc]taylor:  Taking taylor expansion of (* (exp re) (cos im)) in re
* [misc]taylor:  Taking taylor expansion of (exp re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cos im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (cos im) into (cos im)
* [misc]backup-simplify:  Simplify (sin im) into (sin im)
* [misc]backup-simplify:  Simplify (* (cos im) 1) into (cos im)
* [misc]backup-simplify:  Simplify (* (sin im) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos im) 0) into (cos im)
* [misc]backup-simplify:  Simplify (* 1 (cos im)) into (cos im)
* [misc]backup-simplify:  Simplify (sqrt (cos im)) into (sqrt (cos im))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos im) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin im) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 1 (cos im))) into (cos im)
* [misc]backup-simplify:  Simplify (/ (cos im) (* 2 (sqrt (cos im)))) into (* 1/2 (sqrt (cos im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp re) (cos im))) in re
* [misc]taylor:  Taking taylor expansion of (* (exp re) (cos im)) in re
* [misc]taylor:  Taking taylor expansion of (exp re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cos im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (cos im) into (cos im)
* [misc]backup-simplify:  Simplify (sin im) into (sin im)
* [misc]backup-simplify:  Simplify (* (cos im) 1) into (cos im)
* [misc]backup-simplify:  Simplify (* (sin im) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos im) 0) into (cos im)
* [misc]backup-simplify:  Simplify (* 1 (cos im)) into (cos im)
* [misc]backup-simplify:  Simplify (sqrt (cos im)) into (sqrt (cos im))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos im) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin im) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 1 (cos im))) into (cos im)
* [misc]backup-simplify:  Simplify (/ (cos im) (* 2 (sqrt (cos im)))) into (* 1/2 (sqrt (cos im)))
* [misc]taylor:  Taking taylor expansion of (sqrt (cos im)) in im
* [misc]taylor:  Taking taylor expansion of (cos im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sqrt (cos im))) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (cos im)) in im
* [misc]taylor:  Taking taylor expansion of (cos im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos im) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin im) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (* 1/2 (cos im)))) into (* 1/2 (cos im))
* [misc]backup-simplify:  Simplify (/ (- (* 1/2 (cos im)) (pow (* 1/2 (sqrt (cos im))) 2) (+)) (* 2 (sqrt (cos im)))) into (* 1/8 (sqrt (cos im)))
* [misc]taylor:  Taking taylor expansion of (* 1/8 (sqrt (cos im))) in im
* [misc]taylor:  Taking taylor expansion of 1/8 in im
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (sqrt (cos im)) in im
* [misc]taylor:  Taking taylor expansion of (cos im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* 1/8 1) into 1/8
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]backup-simplify:  Simplify (+ (* 1/8 (pow (* 1 re) 2)) (+ (* 1/2 (* 1 re)) 1)) into (+ 1 (+ (* 1/2 re) (* 1/8 (pow re 2))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (exp (/ 1 re)) into (exp (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 im)) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (cos (/ 1 im))) into (* (exp (/ 1 re)) (cos (/ 1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) into (sqrt (* (exp (/ 1 re)) (cos (/ 1 im))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (* 0 (cos (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (exp (/ 1 re)) into (exp (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (cos (/ 1 im)) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (sin (/ 1 im)) into (sin (/ 1 im))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 im)) 1) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 im)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 im)) 0) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (cos (/ 1 im))) into (* (exp (/ 1 re)) (cos (/ 1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) into (sqrt (* (exp (/ 1 re)) (cos (/ 1 im))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 im)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 im)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (* 0 (cos (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) in re
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (exp (/ 1 re)) into (exp (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (cos (/ 1 im)) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (sin (/ 1 im)) into (sin (/ 1 im))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 im)) 1) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 im)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 im)) 0) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (cos (/ 1 im))) into (* (exp (/ 1 re)) (cos (/ 1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) into (sqrt (* (exp (/ 1 re)) (cos (/ 1 im))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 im)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 im)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (* 0 (cos (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (exp (/ 1 re)) into (exp (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 im)) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (cos (/ 1 im))) into (* (exp (/ 1 re)) (cos (/ 1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) into (sqrt (* (exp (/ 1 re)) (cos (/ 1 im))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (* 0 (cos (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))) into (sqrt (* (exp (/ 1 re)) (cos (/ 1 im))))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 im)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 im)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (+ (* 0 0) (* 0 (cos (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (+ (* 0 0) (* 0 (cos (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* (exp (/ 1 re)) (cos (/ 1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ 1 (/ 1 re))) (cos (/ 1 (/ 1 im))))) into (sqrt (* (exp re) (cos im)))
* [misc]approximate:  Taking taylor expansion of (sqrt (* (exp (/ 1 (- re))) (cos (/ 1 (- im))))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 (- re))) (cos (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 (- re))) (cos (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]backup-simplify:  Simplify (exp (/ -1 re)) into (exp (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- im))) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (cos (/ -1 im))) into (* (exp (/ -1 re)) (cos (/ -1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))) into (sqrt (* (exp (/ -1 re)) (cos (/ -1 im))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 re) (/ 0 (- re))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (* 0 (cos (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 (- re))) (cos (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 (- re))) (cos (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (exp (/ 1 (- re))) into (exp (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (cos (/ -1 im)) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (sin (/ -1 im)) into (sin (/ -1 im))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 im)) 1) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 im)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 im)) 0) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (cos (/ -1 im))) into (* (exp (/ -1 re)) (cos (/ -1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))) into (sqrt (* (exp (/ -1 re)) (cos (/ -1 im))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 im)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 im)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (* 0 (cos (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ 1 (- re))) (cos (/ 1 (- im))))) in re
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 (- re))) (cos (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (exp (/ 1 (- re))) into (exp (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (cos (/ -1 im)) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (sin (/ -1 im)) into (sin (/ -1 im))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 im)) 1) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 im)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 im)) 0) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (cos (/ -1 im))) into (* (exp (/ -1 re)) (cos (/ -1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))) into (sqrt (* (exp (/ -1 re)) (cos (/ -1 im))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 im)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 im)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (* 0 (cos (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ -1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ -1 re) in im
* [misc]taylor:  Taking taylor expansion of -1 in im
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ -1 re) into (/ -1 re)
* [misc]backup-simplify:  Simplify (exp (/ -1 re)) into (exp (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ -1 im) in im
* [misc]taylor:  Taking taylor expansion of -1 in im
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (cos (/ -1 im)) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (cos (/ -1 im))) into (* (exp (/ -1 re)) (cos (/ -1 im)))
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))) into (sqrt (* (exp (/ -1 re)) (cos (/ -1 im))))
* [misc]backup-simplify:  Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (* 0 (cos (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))) into (sqrt (* (exp (/ -1 re)) (cos (/ -1 im))))
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 im)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 im)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (+ (* 0 0) (* 0 (cos (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (+ (* 0 0) (* 0 (cos (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* (exp (/ -1 re)) (cos (/ -1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (* (exp (/ -1 (/ 1 (- re)))) (cos (/ -1 (/ 1 (- im)))))) into (sqrt (* (exp re) (cos im)))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (* (exp re) (cos im)) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (exp re) (cos im)) in im
* [misc]taylor:  Taking taylor expansion of (exp re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (exp re) into (exp re)
* [misc]taylor:  Taking taylor expansion of (cos im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (exp re) (cos im)) in re
* [misc]taylor:  Taking taylor expansion of (exp re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cos im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (cos im) into (cos im)
* [misc]backup-simplify:  Simplify (sin im) into (sin im)
* [misc]taylor:  Taking taylor expansion of (* (exp re) (cos im)) in re
* [misc]taylor:  Taking taylor expansion of (exp re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cos im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (cos im) into (cos im)
* [misc]backup-simplify:  Simplify (sin im) into (sin im)
* [misc]backup-simplify:  Simplify (* (cos im) 1) into (cos im)
* [misc]backup-simplify:  Simplify (* (sin im) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos im) 0) into (cos im)
* [misc]backup-simplify:  Simplify (* 1 (cos im)) into (cos im)
* [misc]taylor:  Taking taylor expansion of (cos im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos im) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin im) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 1 (cos im))) into (cos im)
* [misc]taylor:  Taking taylor expansion of (cos im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos im) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin im) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (* 1/2 (cos im)))) into (* 1/2 (cos im))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (cos im)) in im
* [misc]taylor:  Taking taylor expansion of 1/2 in im
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1/2 (pow (* 1 re) 2)) (+ (* 1 (* 1 re)) 1)) into (+ 1 (+ re (* 1/2 (pow re 2))))
* [misc]approximate:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (exp (/ 1 re)) into (exp (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 im)) into (cos (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (exp (/ 1 re)) into (exp (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (cos (/ 1 im)) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (sin (/ 1 im)) into (sin (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in re
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 re)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (exp (/ 1 re)) into (exp (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 im)) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (/ 1 im) into (/ 1 im)
* [misc]backup-simplify:  Simplify (cos (/ 1 im)) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (sin (/ 1 im)) into (sin (/ 1 im))
* [misc]backup-simplify:  Simplify (* (cos (/ 1 im)) 1) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 im)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 im)) 0) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (cos (/ 1 im))) into (* (exp (/ 1 re)) (cos (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 re)) (cos (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ 1 re) into (/ 1 re)
* [misc]backup-simplify:  Simplify (exp (/ 1 re)) into (exp (/ 1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 im)) into (cos (/ 1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (cos (/ 1 im))) into (* (exp (/ 1 re)) (cos (/ 1 im)))
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (cos (/ 1 im))) into (* (exp (/ 1 re)) (cos (/ 1 im)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 im)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 im)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (* 0 (cos (/ 1 im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (* 0 (cos (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 im)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 im)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (+ (* 0 0) (* 0 (cos (/ 1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ 1 re)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (+ (* 0 0) (* 0 (cos (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp (/ 1 (/ 1 re))) (cos (/ 1 (/ 1 im)))) into (* (exp re) (cos im))
* [misc]approximate:  Taking taylor expansion of (* (exp (/ 1 (- re))) (cos (/ 1 (- im)))) in (re im) around 0
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 (- re))) (cos (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 (- re))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in im
* [misc]taylor:  Taking taylor expansion of (- re) in im
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (- re) into (- re)
* [misc]backup-simplify:  Simplify (/ 1 (- re)) into (/ -1 re)
* [misc]backup-simplify:  Simplify (exp (/ -1 re)) into (exp (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in im
* [misc]taylor:  Taking taylor expansion of (- im) in im
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- im))) into (cos (/ -1 im))
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 (- re))) (cos (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (exp (/ 1 (- re))) into (exp (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (cos (/ -1 im)) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (sin (/ -1 im)) into (sin (/ -1 im))
* [misc]taylor:  Taking taylor expansion of (* (exp (/ 1 (- re))) (cos (/ 1 (- im)))) in re
* [misc]taylor:  Taking taylor expansion of (exp (/ 1 (- re))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- re)) in re
* [misc]taylor:  Taking taylor expansion of (- re) in re
* [misc]taylor:  Taking taylor expansion of re in re
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (exp (/ 1 (- re))) into (exp (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- im))) in re
* [misc]taylor:  Taking taylor expansion of (/ 1 (- im)) in re
* [misc]taylor:  Taking taylor expansion of (- im) in re
* [misc]taylor:  Taking taylor expansion of im in re
* [misc]backup-simplify:  Simplify im into im
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (/ 1 (- im)) into (/ -1 im)
* [misc]backup-simplify:  Simplify (cos (/ -1 im)) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (sin (/ -1 im)) into (sin (/ -1 im))
* [misc]backup-simplify:  Simplify (* (cos (/ -1 im)) 1) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 im)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 im)) 0) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (cos (/ -1 im))) into (* (exp (/ -1 re)) (cos (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of (* (exp (/ -1 re)) (cos (/ -1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ -1 re)) in im
* [misc]taylor:  Taking taylor expansion of (/ -1 re) in im
* [misc]taylor:  Taking taylor expansion of -1 in im
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of re in im
* [misc]backup-simplify:  Simplify re into re
* [misc]backup-simplify:  Simplify (/ -1 re) into (/ -1 re)
* [misc]backup-simplify:  Simplify (exp (/ -1 re)) into (exp (/ -1 re))
* [misc]taylor:  Taking taylor expansion of (cos (/ -1 im)) in im
* [misc]taylor:  Taking taylor expansion of (/ -1 im) in im
* [misc]taylor:  Taking taylor expansion of -1 in im
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of im in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (cos (/ -1 im)) into (cos (/ -1 im))
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (cos (/ -1 im))) into (* (exp (/ -1 re)) (cos (/ -1 im)))
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (cos (/ -1 im))) into (* (exp (/ -1 re)) (cos (/ -1 im)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 im)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 im)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (* 0 (cos (/ -1 im)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (* 0 (cos (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 im)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 im)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (+ (* 0 0) (* 0 (cos (/ -1 im))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (/ -1 re)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (+ (* 0 0) (* 0 (cos (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- im) into (- im)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 im) (/ 0 (- im))) (* 0 (/ 0 (- im))) (* 0 (/ 0 (- im))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 im)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in im
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp (/ -1 (/ 1 (- re)))) (cos (/ -1 (/ 1 (- im))))) into (* (exp re) (cos im))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (pow (* (exp re) (cos im)) (+ 1/2 1/2)))>
* [enter]simplify:  Simplifying (+ 1/2 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (+ 1/2 1/2)
* [exit]simplify:  Simplified to (+ 1/2 1/2)
* * * * [misc]progress:  [ 2 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (pow (sqrt (* (exp re) (cos im))) (+ 1 1)))>
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ 1 1)
* [exit]simplify:  Simplified to (+ 1 1)
* * * * [misc]progress:  [ 3 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (pow (* (* (exp re) (cos im)) (* (exp re) (cos im))) 1/2))>
* [enter]simplify:  Simplifying (* (* (exp re) (cos im)) (* (exp re) (cos 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 (24 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (* (* (cos im) (exp re)) (* (cos im) (exp re)))
* [exit]simplify:  Simplified to (* (* (cos im) (exp re)) (* (cos im) (exp re)))
* * * * [misc]progress:  [ 4 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (pow (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))) 1))>
* [enter]simplify:  Simplifying (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (* (cos im) (exp re))
* [exit]simplify:  Simplified to (* (cos im) (exp re))
* * * * [misc]progress:  [ 5 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (pow (sqrt (* (exp re) (cos im))) 2))>
* * * * [misc]progress:  [ 6 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (pow (sqrt (* (exp re) (cos im))) (+ 1 1)))>
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ 1 1)
* [exit]simplify:  Simplified to (+ 1 1)
* * * * [misc]progress:  [ 7 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (pow (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))) 1))>
* * * * [misc]progress:  [ 8 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (exp (+ (log (sqrt (* (exp re) (cos im)))) (log (sqrt (* (exp re) (cos im)))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (* (exp re) (cos im)))) (log (sqrt (* (exp re) (cos im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (* (cos im) (exp re)))) (log (sqrt (* (cos im) (exp re)))))
* [exit]simplify:  Simplified to (+ (log (sqrt (* (cos im) (exp re)))) (log (sqrt (* (cos im) (exp re)))))
* * * * [misc]progress:  [ 9 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (exp (log (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))))))>
* [enter]simplify:  Simplifying (log (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (log (* (cos im) (exp re)))
* [exit]simplify:  Simplified to (log (* (cos im) (exp re)))
* * * * [misc]progress:  [ 10 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (log (exp (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))))))>
* [enter]simplify:  Simplifying (exp (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (exp (* (cos im) (exp re)))
* [exit]simplify:  Simplified to (exp (* (cos im) (exp re)))
* * * * [misc]progress:  [ 11 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (cbrt (* (* (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))) (sqrt (* (exp re) (cos im)))) (* (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))) (sqrt (* (exp re) (cos im)))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))) (sqrt (* (exp re) (cos im)))) (* (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))) (sqrt (* (exp re) (cos im)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (228 enodes)
* [exit]simplify:  Simplified to (pow (* (cos im) (exp re)) 3)
* [exit]simplify:  Simplified to (pow (* (cos im) (exp re)) 3)
* * * * [misc]progress:  [ 12 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (* (cbrt (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))))) (cbrt (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))))) (cbrt (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))))) (cbrt (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (cos im) (exp re))) (cbrt (* (cos im) (exp re))))
* [exit]simplify:  Simplified to (* (cbrt (* (cos im) (exp re))) (cbrt (* (cos im) (exp re))))
* [enter]simplify:  Simplifying (cbrt (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cos im) (exp re)))
* [exit]simplify:  Simplified to (cbrt (* (cos im) (exp re)))
* * * * [misc]progress:  [ 13 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (cbrt (* (* (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))) (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))))) (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))) (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))))) (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (229 enodes)
* * [misc]simplify:  iters left: 1 (342 enodes)
* [exit]simplify:  Simplified to (pow (* (cos im) (exp re)) 3)
* [exit]simplify:  Simplified to (pow (* (cos im) (exp re)) 3)
* * * * [misc]progress:  [ 14 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (sqrt (* (* (exp re) (cos im)) (* (exp re) (cos im)))))>
* [enter]simplify:  Simplifying (* (* (exp re) (cos im)) (* (exp re) (cos 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 (24 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (* (* (cos im) (exp re)) (* (cos im) (exp re)))
* [exit]simplify:  Simplified to (* (* (cos im) (exp re)) (* (cos im) (exp re)))
* * * * [misc]progress:  [ 15 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))))) (sqrt (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))))))>
* [enter]simplify:  Simplifying (sqrt (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (* (cos im) (exp re)))
* [exit]simplify:  Simplified to (sqrt (* (cos im) (exp re)))
* [enter]simplify:  Simplifying (sqrt (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (* (cos im) (exp re)))
* [exit]simplify:  Simplified to (sqrt (* (cos im) (exp re)))
* * * * [misc]progress:  [ 16 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (exp re) (cos im)))>
* * * * [misc]progress:  [ 17 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 1 (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))))))>
* * * * [misc]progress:  [ 18 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (* (sqrt (* (exp re) (cos im))) (* (cbrt (sqrt (* (exp re) (cos im)))) (cbrt (sqrt (* (exp re) (cos im)))))) (cbrt (sqrt (* (exp re) (cos im))))))>
* [enter]simplify:  Simplifying (* (sqrt (* (exp re) (cos im))) (* (cbrt (sqrt (* (exp re) (cos im)))) (cbrt (sqrt (* (exp re) (cos im))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (cos im) (exp re))) (* (cbrt (sqrt (* (cos im) (exp re)))) (cbrt (sqrt (* (cos im) (exp re))))))
* [exit]simplify:  Simplified to (* (sqrt (* (cos im) (exp re))) (* (cbrt (sqrt (* (cos im) (exp re)))) (cbrt (sqrt (* (cos im) (exp re))))))
* * * * [misc]progress:  [ 19 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (* (sqrt (* (exp re) (cos im))) (sqrt (exp re))) (sqrt (cos im))))>
* [enter]simplify:  Simplifying (* (sqrt (* (exp re) (cos im))) (sqrt (exp re)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (* (sqrt (exp re)) (sqrt (* (cos im) (exp re))))
* [exit]simplify:  Simplified to (* (sqrt (exp re)) (sqrt (* (cos im) (exp re))))
* * * * [misc]progress:  [ 20 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (* (sqrt (* (exp re) (cos im))) (sqrt (sqrt (* (exp re) (cos im))))) (sqrt (sqrt (* (exp re) (cos im))))))>
* [enter]simplify:  Simplifying (* (sqrt (* (exp re) (cos im))) (sqrt (sqrt (* (exp re) (cos im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (* (cos im) (exp re)))) (sqrt (* (cos im) (exp re))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (* (cos im) (exp re)))) (sqrt (* (cos im) (exp re))))
* * * * [misc]progress:  [ 21 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (* (sqrt (* (exp re) (cos im))) 1) (sqrt (* (exp re) (cos im)))))>
* [enter]simplify:  Simplifying (* (sqrt (* (exp re) (cos im))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (sqrt (* (cos im) (exp re)))
* [exit]simplify:  Simplified to (sqrt (* (cos im) (exp re)))
* * * * [misc]progress:  [ 22 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (* (cbrt (sqrt (* (exp re) (cos im)))) (cbrt (sqrt (* (exp re) (cos im))))) (* (cbrt (sqrt (* (exp re) (cos im)))) (sqrt (* (exp re) (cos im))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (* (exp re) (cos im)))) (sqrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (* (cos im) (exp re)))) (sqrt (* (cos im) (exp re))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (* (cos im) (exp re)))) (sqrt (* (cos im) (exp re))))
* * * * [misc]progress:  [ 23 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (exp re)) (* (sqrt (cos im)) (sqrt (* (exp re) (cos im))))))>
* [enter]simplify:  Simplifying (* (sqrt (cos im)) (sqrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cos im)) (sqrt (* (cos im) (exp re))))
* [exit]simplify:  Simplified to (* (sqrt (cos im)) (sqrt (* (cos im) (exp re))))
* * * * [misc]progress:  [ 24 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (sqrt (* (exp re) (cos im)))) (* (sqrt (sqrt (* (exp re) (cos im)))) (sqrt (* (exp re) (cos im))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (* (exp re) (cos im)))) (sqrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (* (cos im) (exp re)))) (sqrt (* (cos im) (exp re))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (* (cos im) (exp re)))) (sqrt (* (cos im) (exp re))))
* * * * [misc]progress:  [ 25 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* 1 (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))))))>
* [enter]simplify:  Simplifying (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (* (cos im) (exp re))
* [exit]simplify:  Simplified to (* (cos im) (exp re))
* * * * [misc]progress:  [ 26 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))))>
* * * * [misc]progress:  [ 27 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (pow (* (exp re) (cos im)) 1/2)))>
* * * * [misc]progress:  [ 28 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (pow (sqrt (* (exp re) (cos im))) 1)))>
* * * * [misc]progress:  [ 29 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (exp (log (sqrt (* (exp re) (cos im)))))))>
* [enter]simplify:  Simplifying (log (sqrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (log (sqrt (* (cos im) (exp re))))
* [exit]simplify:  Simplified to (log (sqrt (* (cos im) (exp re))))
* * * * [misc]progress:  [ 30 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (log (exp (sqrt (* (exp re) (cos im)))))))>
* [enter]simplify:  Simplifying (exp (sqrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (* (cos im) (exp re))))
* [exit]simplify:  Simplified to (exp (sqrt (* (cos im) (exp re))))
* * * * [misc]progress:  [ 31 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (* (* (cbrt (sqrt (* (exp re) (cos im)))) (cbrt (sqrt (* (exp re) (cos im))))) (cbrt (sqrt (* (exp re) (cos im)))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (* (exp re) (cos im)))) (cbrt (sqrt (* (exp re) (cos im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (* (cos im) (exp re)))) (cbrt (sqrt (* (cos im) (exp re)))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (* (cos im) (exp re)))) (cbrt (sqrt (* (cos im) (exp re)))))
* [enter]simplify:  Simplifying (cbrt (sqrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (* (cos im) (exp re))))
* [exit]simplify:  Simplified to (cbrt (sqrt (* (cos im) (exp re))))
* * * * [misc]progress:  [ 32 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (cbrt (* (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))) (sqrt (* (exp re) (cos im)))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))) (sqrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (* (* (cos im) (exp re)) (sqrt (* (cos im) (exp re))))
* [exit]simplify:  Simplified to (* (* (cos im) (exp re)) (sqrt (* (cos im) (exp re))))
* * * * [misc]progress:  [ 33 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (* (sqrt (exp re)) (sqrt (cos im)))))>
* [enter]simplify:  Simplifying (sqrt (exp re))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (exp re))
* [exit]simplify:  Simplified to (sqrt (exp re))
* [enter]simplify:  Simplifying (sqrt (cos im))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (cos im))
* [exit]simplify:  Simplified to (sqrt (cos im))
* * * * [misc]progress:  [ 34 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (* (sqrt (sqrt (* (exp re) (cos im)))) (sqrt (sqrt (* (exp re) (cos im)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (cos im) (exp re))))
* [exit]simplify:  Simplified to (sqrt (sqrt (* (cos im) (exp re))))
* [enter]simplify:  Simplifying (sqrt (sqrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (cos im) (exp re))))
* [exit]simplify:  Simplified to (sqrt (sqrt (* (cos im) (exp re))))
* * * * [misc]progress:  [ 35 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (* 1 (sqrt (* (exp re) (cos im))))))>
* * * * [misc]progress:  [ 36 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (pow (* (exp re) (cos im)) 1/2) (sqrt (* (exp re) (cos im)))))>
* * * * [misc]progress:  [ 37 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (pow (sqrt (* (exp re) (cos im))) 1) (sqrt (* (exp re) (cos im)))))>
* * * * [misc]progress:  [ 38 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (exp (log (sqrt (* (exp re) (cos im))))) (sqrt (* (exp re) (cos im)))))>
* [enter]simplify:  Simplifying (log (sqrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (log (sqrt (* (cos im) (exp re))))
* [exit]simplify:  Simplified to (log (sqrt (* (cos im) (exp re))))
* * * * [misc]progress:  [ 39 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (log (exp (sqrt (* (exp re) (cos im))))) (sqrt (* (exp re) (cos im)))))>
* [enter]simplify:  Simplifying (exp (sqrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (* (cos im) (exp re))))
* [exit]simplify:  Simplified to (exp (sqrt (* (cos im) (exp re))))
* * * * [misc]progress:  [ 40 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (* (* (cbrt (sqrt (* (exp re) (cos im)))) (cbrt (sqrt (* (exp re) (cos im))))) (cbrt (sqrt (* (exp re) (cos im))))) (sqrt (* (exp re) (cos im)))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (* (exp re) (cos im)))) (cbrt (sqrt (* (exp re) (cos im)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (* (cos im) (exp re)))) (cbrt (sqrt (* (cos im) (exp re)))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (* (cos im) (exp re)))) (cbrt (sqrt (* (cos im) (exp re)))))
* [enter]simplify:  Simplifying (cbrt (sqrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (* (cos im) (exp re))))
* [exit]simplify:  Simplified to (cbrt (sqrt (* (cos im) (exp re))))
* * * * [misc]progress:  [ 41 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (cbrt (* (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))) (sqrt (* (exp re) (cos im))))) (sqrt (* (exp re) (cos im)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))) (sqrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (* (* (cos im) (exp re)) (sqrt (* (cos im) (exp re))))
* [exit]simplify:  Simplified to (* (* (cos im) (exp re)) (sqrt (* (cos im) (exp re))))
* * * * [misc]progress:  [ 42 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (* (sqrt (exp re)) (sqrt (cos im))) (sqrt (* (exp re) (cos im)))))>
* [enter]simplify:  Simplifying (sqrt (exp re))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (exp re))
* [exit]simplify:  Simplified to (sqrt (exp re))
* [enter]simplify:  Simplifying (sqrt (cos im))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (cos im))
* [exit]simplify:  Simplified to (sqrt (cos im))
* * * * [misc]progress:  [ 43 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (* (sqrt (sqrt (* (exp re) (cos im)))) (sqrt (sqrt (* (exp re) (cos im))))) (sqrt (* (exp re) (cos im)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (cos im) (exp re))))
* [exit]simplify:  Simplified to (sqrt (sqrt (* (cos im) (exp re))))
* [enter]simplify:  Simplifying (sqrt (sqrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (cos im) (exp re))))
* [exit]simplify:  Simplified to (sqrt (sqrt (* (cos im) (exp re))))
* * * * [misc]progress:  [ 44 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (* 1 (sqrt (* (exp re) (cos im)))) (sqrt (* (exp re) (cos im)))))>
* * * * [misc]progress:  [ 45 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (pow (* (exp re) (cos im)) 1))))>
* [enter]simplify:  Simplifying (* (exp re) (cos im))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (cos im) (exp re))
* [exit]simplify:  Simplified to (* (cos im) (exp re))
* * * * [misc]progress:  [ 46 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (pow (* (exp re) (cos im)) 1))))>
* * * * [misc]progress:  [ 47 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (exp (+ re (log (cos im)))))))>
* [enter]simplify:  Simplifying (+ re (log (cos im)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (+ re (log (cos im)))
* [exit]simplify:  Simplified to (+ re (log (cos im)))
* * * * [misc]progress:  [ 48 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (exp (log (* (exp re) (cos im)))))))>
* [enter]simplify:  Simplifying (log (* (exp re) (cos im)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (+ re (log (cos im)))
* [exit]simplify:  Simplified to (+ re (log (cos im)))
* * * * [misc]progress:  [ 49 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (log (exp (* (exp re) (cos im)))))))>
* [enter]simplify:  Simplifying (exp (* (exp re) (cos im)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (exp (* (cos im) (exp re)))
* [exit]simplify:  Simplified to (exp (* (cos im) (exp re)))
* * * * [misc]progress:  [ 50 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (cbrt (* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))))))>
* [enter]simplify:  Simplifying (* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (99 enodes)
* [exit]simplify:  Simplified to (pow (* (cos im) (exp re)) 3)
* [exit]simplify:  Simplified to (pow (* (cos im) (exp re)) 3)
* * * * [misc]progress:  [ 51 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (* (* (cbrt (* (exp re) (cos im))) (cbrt (* (exp re) (cos im)))) (cbrt (* (exp re) (cos im)))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (exp re) (cos im))) (cbrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (cos im) (exp re))) (cbrt (* (cos im) (exp re))))
* [exit]simplify:  Simplified to (* (cbrt (* (cos im) (exp re))) (cbrt (* (cos im) (exp re))))
* [enter]simplify:  Simplifying (cbrt (* (exp re) (cos im)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cos im) (exp re)))
* [exit]simplify:  Simplified to (cbrt (* (cos im) (exp re)))
* * * * [misc]progress:  [ 52 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (cbrt (* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im)))))))>
* [enter]simplify:  Simplifying (* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* * [misc]simplify:  iters left: 1 (100 enodes)
* [exit]simplify:  Simplified to (pow (* (cos im) (exp re)) 3)
* [exit]simplify:  Simplified to (pow (* (cos im) (exp re)) 3)
* * * * [misc]progress:  [ 53 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))))))>
* [enter]simplify:  Simplifying (sqrt (* (exp re) (cos im)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (* (cos im) (exp re)))
* [exit]simplify:  Simplified to (sqrt (* (cos im) (exp re)))
* [enter]simplify:  Simplifying (sqrt (* (exp re) (cos im)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (* (cos im) (exp re)))
* [exit]simplify:  Simplified to (sqrt (* (cos im) (exp re)))
* * * * [misc]progress:  [ 54 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (* 1 (* (exp re) (cos im))))))>
* * * * [misc]progress:  [ 55 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (* (* (exp re) (* (cbrt (cos im)) (cbrt (cos im)))) (cbrt (cos im))))))>
* [enter]simplify:  Simplifying (* (exp re) (* (cbrt (cos im)) (cbrt (cos im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (* (* (exp re) (cbrt (cos im))) (cbrt (cos im)))
* [exit]simplify:  Simplified to (* (* (exp re) (cbrt (cos im))) (cbrt (cos im)))
* * * * [misc]progress:  [ 56 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (* (* (exp re) (sqrt (cos im))) (sqrt (cos im))))))>
* [enter]simplify:  Simplifying (* (exp re) (sqrt (cos im)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (* (exp re) (sqrt (cos im)))
* [exit]simplify:  Simplified to (* (exp re) (sqrt (cos im)))
* * * * [misc]progress:  [ 57 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (* (* (exp re) 1) (cos im)))))>
* [enter]simplify:  Simplifying (* (exp re) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (exp re)
* [exit]simplify:  Simplified to (exp re)
* * * * [misc]progress:  [ 58 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (* (* (cbrt (exp re)) (cbrt (exp re))) (* (cbrt (exp re)) (cos im))))))>
* [enter]simplify:  Simplifying (* (cbrt (exp re)) (cos im))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (* (cbrt (exp re)) (cos im))
* [exit]simplify:  Simplified to (* (cbrt (exp re)) (cos im))
* * * * [misc]progress:  [ 59 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im))))))>
* [enter]simplify:  Simplifying (* (sqrt (exp re)) (cos im))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (* (sqrt (exp re)) (cos im))
* [exit]simplify:  Simplified to (* (sqrt (exp re)) (cos im))
* * * * [misc]progress:  [ 60 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (* 1 (* (exp re) (cos im))))))>
* [enter]simplify:  Simplifying (* (exp re) (cos im))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (cos im) (exp re))
* [exit]simplify:  Simplified to (* (cos im) (exp re))
* * * * [misc]progress:  [ 61 / 73 ] simplifiying candidate #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (* (cos im) (exp re)))))>
* * * * [misc]progress:  [ 62 / 73 ] simplifiying candidate #<alt-event (λ (re im) (+ 1 (+ re (* 1/2 (pow re 2)))))>
* [enter]simplify:  Simplifying (+ 1 (+ re (* 1/2 (pow re 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (+ (+ re 1) (* (* 1/2 re) re))
* * * * [misc]progress:  [ 63 / 73 ] simplifiying candidate #<alt-event (λ (re im) (* (exp re) (cos im)))>
* [enter]simplify:  Simplifying (* (exp re) (cos im))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (cos im) (exp re))
* * * * [misc]progress:  [ 64 / 73 ] simplifiying candidate #<alt-event (λ (re im) (* (exp re) (cos im)))>
* [enter]simplify:  Simplifying (* (exp re) (cos im))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (cos im) (exp re))
* * * * [misc]progress:  [ 65 / 73 ] simplifiying candidate #<alt-event (λ (re im) (* (sqrt (* (exp re) (cos im))) (+ 1 (+ (* 1/2 re) (* 1/8 (pow re 2))))))>
* [enter]simplify:  Simplifying (* (sqrt (* (exp re) (cos im))) (+ 1 (+ (* 1/2 re) (* 1/8 (pow re 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (180 enodes)
* * [misc]simplify:  iters left: 2 (332 enodes)
* * [misc]simplify:  iters left: 1 (425 enodes)
* [exit]simplify:  Simplified to (* (+ (* (* re re) 1/8) (+ (* 1/2 re) 1)) (sqrt (* (cos im) (exp re))))
* * * * [misc]progress:  [ 66 / 73 ] simplifiying candidate #<alt-event (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))))>
* [enter]simplify:  Simplifying (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (* (cos im) (exp re))
* * * * [misc]progress:  [ 67 / 73 ] simplifiying candidate #<alt-event (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))))>
* [enter]simplify:  Simplifying (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (* (cos im) (exp re))
* * * * [misc]progress:  [ 68 / 73 ] simplifiying candidate #<alt-event (λ (re im) (* (+ 1 (+ (* 1/2 re) (* 1/8 (pow re 2)))) (sqrt (* (exp re) (cos im)))))>
* [enter]simplify:  Simplifying (* (+ 1 (+ (* 1/2 re) (* 1/8 (pow re 2)))) (sqrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (137 enodes)
* * [misc]simplify:  iters left: 2 (306 enodes)
* * [misc]simplify:  iters left: 1 (491 enodes)
* [exit]simplify:  Simplified to (* (+ (+ 1 (* re 1/2)) (* 1/8 (* re re))) (sqrt (* (cos im) (exp re))))
* * * * [misc]progress:  [ 69 / 73 ] simplifiying candidate #<alt-event (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))))>
* [enter]simplify:  Simplifying (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (* (cos im) (exp re))
* * * * [misc]progress:  [ 70 / 73 ] simplifiying candidate #<alt-event (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))))>
* [enter]simplify:  Simplifying (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (* (cos im) (exp re))
* * * * [misc]progress:  [ 71 / 73 ] simplifiying candidate #<alt-event (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (+ 1 (+ re (* 1/2 (pow re 2)))))))>
* [enter]simplify:  Simplifying (* (sqrt (* (exp re) (cos im))) (sqrt (+ 1 (+ re (* 1/2 (pow re 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* (* re re) 1/2) (+ 1 re))) (sqrt (* (cos im) (exp re))))
* * * * [misc]progress:  [ 72 / 73 ] simplifiying candidate #<alt-event (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))))>
* [enter]simplify:  Simplifying (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (* (cos im) (exp re))
* * * * [misc]progress:  [ 73 / 73 ] simplifiying candidate #<alt-event (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))))>
* [enter]simplify:  Simplifying (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (* (cos im) (exp re))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt-event (λ (re im) (* (exp re) (cos im)))> #<alt-delta (λ (re im) (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 (* (exp re) (cos im)) +nan.0)) , with alts (#<alt-event (λ (re im) (* (exp re) (cos im)))>)
* [enter]simplify:  Simplifying (* (exp re) (cos im))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (* (cos im) (exp re))
* * * * [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:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 62 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 on every 31 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 on every 15 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 on every 7 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 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 1962 additional inputs, on iter 1 have 6038 / 8000
* * * * [misc]points:  Computing exacts on every 122 of 1962 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 61 of 1962 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 30 of 1962 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 15 of 1962 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 1962 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 1962 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 1962 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 498 additional inputs, on iter 2 have 7502 / 8000
* * * * [misc]points:  Computing exacts on every 31 of 498 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 15 of 498 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 498 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 498 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 498 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 128 additional inputs, on iter 3 have 7872 / 8000
* * * * [misc]points:  Computing exacts on every 8 of 128 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 4 of 128 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 2 of 128 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 128 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 21 additional inputs, on iter 4 have 7979 / 8000
* * * * [misc]points:  Computing exacts for 21 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 5 additional inputs, on iter 5 have 7995 / 8000
* * * * [misc]points:  Computing exacts for 5 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 6 have 7999 / 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 8002 points with exact outputs