* [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 145 additional inputs, on iter 1 have 111 / 256
* * * * [misc]points:  Computing exacts on every 9 of 145 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 145 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 145 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 145 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 85 additional inputs, on iter 2 have 171 / 256
* * * * [misc]points:  Computing exacts on every 5 of 85 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 85 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 85 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 48 additional inputs, on iter 3 have 208 / 256
* * * * [misc]points:  Computing exacts on every 3 of 48 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 48 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 21 additional inputs, on iter 4 have 235 / 256
* * * * [misc]points:  Computing exacts for 21 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 9 additional inputs, on iter 5 have 247 / 256
* * * * [misc]points:  Computing exacts for 9 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 6 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 7 have 253 / 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 8 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
* * * * [misc]points:  Sampling 4 additional inputs, on iter 9 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 257 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (197 enodes)
* * [misc]simplify:  iters left: 1 (476 enodes)
* [exit]simplify:  Simplified to (* (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) (cos re))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (re im) (* (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) (cos re)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (/ 0.5 (exp im)) in (im) around 0
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (exp im)) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (exp im) in im
* [misc]taylor:  Taking 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 0) into 1
* [misc]backup-simplify:  Simplify (/ 0.5 1) into 0.5
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (exp im)) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (exp im) in im
* [misc]taylor:  Taking 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 0) into 1
* [misc]backup-simplify:  Simplify (/ 0.5 1) into 0.5
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 0.5 (/ 1 1)))) into (- 0.5)
* [misc]backup-simplify:  Simplify (- 0.5) into (- 0.5)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 0.5 (/ 1/2 1)) (* (- 0.5) (/ 1 1)))) into 0.25
* [misc]backup-simplify:  Simplify 0.25 into 0.25
* [misc]backup-simplify:  Simplify (+ (* 0.25 (pow im 2)) (+ (* (- 0.5) im) 0.5)) into (- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im))
* [misc]approximate:  Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in (im) around 0
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 im)) into (exp (/ 1 im))
* [misc]backup-simplify:  Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 im)) into (exp (/ 1 im))
* [misc]backup-simplify:  Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im)))
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0.5 (exp (/ 1 (/ 1 im)))) into (/ 0.5 (exp im))
* [misc]approximate:  Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in (im) around 0
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- im))) into (exp (/ -1 im))
* [misc]backup-simplify:  Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- im))) into (exp (/ -1 im))
* [misc]backup-simplify:  Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im)))
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0.5 (exp (/ -1 (/ 1 (- im))))) into (/ 0.5 (exp im))
* * * * [misc]progress:  [ 2 / 2 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) in (im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (exp im)) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (exp im) in im
* [misc]taylor:  Taking 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 0) into 1
* [misc]backup-simplify:  Simplify (/ 0.5 1) into 0.5
* [misc]taylor:  Taking taylor expansion of (* 0.5 (exp im)) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (exp im) in im
* [misc]taylor:  Taking 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 0) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (exp im)) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (exp im) in im
* [misc]taylor:  Taking 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 0) into 1
* [misc]backup-simplify:  Simplify (/ 0.5 1) into 0.5
* [misc]taylor:  Taking taylor expansion of (* 0.5 (exp im)) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (exp im) in im
* [misc]taylor:  Taking 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 0) into 1
* [misc]backup-simplify:  Simplify (* 0.5 1) into 0.5
* [misc]backup-simplify:  Simplify (+ 0.5 0.5) into 1.0
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 0.5 (/ 1 1)))) into (- 0.5)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0.5 1) (* 0 1)) into 0.5
* [misc]backup-simplify:  Simplify (+ (- 0.5) 0.5) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 0.5 (/ 1/2 1)) (* (- 0.5) (/ 1 1)))) into 0.25
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0.5 1/2) (+ (* 0 1) (* 0 1))) into 0.25
* [misc]backup-simplify:  Simplify (+ 0.25 0.25) into 0.5
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 0.5 (/ 1/6 1)) (* (- 0.5) (/ 1/2 1)) (* 0.25 (/ 1 1)))) into (- 0.08333333333333331)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6
* [misc]backup-simplify:  Simplify (+ (* 0.5 1/6) (+ (* 0 1/2) (+ (* 0 1) (* 0 1)))) into 0.08333333333333333
* [misc]backup-simplify:  Simplify (+ (- 0.08333333333333331) 0.08333333333333333) into 1.3877787807814457e-17
* [misc]backup-simplify:  Simplify 1.3877787807814457e-17 into 1.3877787807814457e-17
* [misc]backup-simplify:  Simplify (+ (* 1.3877787807814457e-17 (pow im 3)) (+ (* 0.5 (pow im 2)) 1.0)) into (+ (* 1.3877787807814457e-17 (pow im 3)) (+ (* 0.5 (pow im 2)) 1.0))
* [misc]approximate:  Taking taylor expansion of (+ (/ 0.5 (exp (/ 1 im))) (* 0.5 (exp (/ 1 im)))) in (im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ 0.5 (exp (/ 1 im))) (* 0.5 (exp (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 im)) into (exp (/ 1 im))
* [misc]backup-simplify:  Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 im)) into (exp (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (+ (/ 0.5 (exp (/ 1 im))) (* 0.5 (exp (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 im)) into (exp (/ 1 im))
* [misc]backup-simplify:  Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 im)) into (exp (/ 1 im))
* [misc]backup-simplify:  Simplify (* 0.5 (exp (/ 1 im))) into (* 0.5 (exp (/ 1 im)))
* [misc]backup-simplify:  Simplify (+ (/ 0.5 (exp (/ 1 im))) (* 0.5 (exp (/ 1 im)))) into (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im))))
* [misc]backup-simplify:  Simplify (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im)))) into (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im))))
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (* 0 (exp (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 (/ 1 (exp (/ 1 (/ 1 im))))) (* 0.5 (exp (/ 1 (/ 1 im))))) into (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im))))
* [misc]approximate:  Taking taylor expansion of (+ (/ 0.5 (exp (/ 1 (- im)))) (* 0.5 (exp (/ 1 (- im))))) in (im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ 0.5 (exp (/ 1 (- im)))) (* 0.5 (exp (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- im))) into (exp (/ -1 im))
* [misc]backup-simplify:  Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of (* 0.5 (exp (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- im))) into (exp (/ -1 im))
* [misc]taylor:  Taking taylor expansion of (+ (/ 0.5 (exp (/ 1 (- im)))) (* 0.5 (exp (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (exp (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- im))) into (exp (/ -1 im))
* [misc]backup-simplify:  Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of (* 0.5 (exp (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- im))) into (exp (/ -1 im))
* [misc]backup-simplify:  Simplify (* 0.5 (exp (/ -1 im))) into (* 0.5 (exp (/ -1 im)))
* [misc]backup-simplify:  Simplify (+ (/ 0.5 (exp (/ -1 im))) (* 0.5 (exp (/ -1 im)))) into (+ (* 0.5 (/ 1 (exp (/ -1 im)))) (* 0.5 (exp (/ -1 im))))
* [misc]backup-simplify:  Simplify (+ (* 0.5 (/ 1 (exp (/ -1 im)))) (* 0.5 (exp (/ -1 im)))) into (+ (* 0.5 (/ 1 (exp (/ -1 im)))) (* 0.5 (exp (/ -1 im))))
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (* 0 (exp (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 im)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 (/ 1 (exp (/ -1 (/ 1 (- im)))))) (* 0.5 (exp (/ -1 (/ 1 (- im)))))) into (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 31 ] simplifiying candidate #<alt (λ (re im) (* (+ (pow (/ 0.5 (exp im)) 1) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 2 / 31 ] simplifiying candidate #<alt (λ (re im) (* (+ (exp (log (/ 0.5 (exp im)))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 3 / 31 ] simplifiying candidate #<alt (λ (re im) (* (+ (log (exp (/ 0.5 (exp im)))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 4 / 31 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (* (cbrt (/ 0.5 (exp im))) (cbrt (/ 0.5 (exp im)))) (cbrt (/ 0.5 (exp im)))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 5 / 31 ] simplifiying candidate #<alt (λ (re im) (* (+ (cbrt (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im)))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 6 / 31 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im)))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 7 / 31 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (- 0.5) (- (exp im))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 8 / 31 ] simplifiying candidate #<alt (λ (re im) (* (+ (* 1 (/ 0.5 (exp im))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 9 / 31 ] simplifiying candidate #<alt (λ (re im) (* (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 10 / 31 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ 1 (/ (exp im) 0.5)) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 11 / 31 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (cbrt (exp im))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (cbrt (exp im))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (cbrt (exp im))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (/ (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (cbrt (exp im))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 12 / 31 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (sqrt (exp im))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (exp im))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 13 / 31 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (/ 0.5 1) (exp im)) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (exp im)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (exp im)
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (/ (/ 0.5 1) (exp im)) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 14 / 31 ] simplifiying candidate #<alt (λ (re im) (* (log (* (exp (/ 0.5 (exp im))) (exp (* 0.5 (exp im))))) (cos re)))>
* [enter]simplify:  Simplifying (* (exp (/ 0.5 (exp im))) (exp (* 0.5 (exp im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (exp (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))
* [misc]simplify:  Simplified (2 1 1) to (λ (re im) (* (log (exp (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (cos re)))
* * * * [misc]progress:  [ 15 / 31 ] simplifiying candidate #<alt (λ (re im) (* (pow (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) 1) (cos re)))>
* * * * [misc]progress:  [ 16 / 31 ] simplifiying candidate #<alt (λ (re im) (* (exp (log (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (cos re)))>
* * * * [misc]progress:  [ 17 / 31 ] simplifiying candidate #<alt (λ (re im) (* (log (exp (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (cos re)))>
* * * * [misc]progress:  [ 18 / 31 ] simplifiying candidate #<alt (λ (re im) (* (* (* (cbrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (cbrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (cbrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (cos re)))>
* * * * [misc]progress:  [ 19 / 31 ] simplifiying candidate #<alt (λ (re im) (* (cbrt (* (* (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (cos re)))>
* * * * [misc]progress:  [ 20 / 31 ] simplifiying candidate #<alt (λ (re im) (* (* (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (sqrt (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (cos re)))>
* * * * [misc]progress:  [ 21 / 31 ] simplifiying candidate #<alt (λ (re im) (* (/ (+ (pow (/ 0.5 (exp im)) 3) (pow (* 0.5 (exp im)) 3)) (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* (/ 0.5 (exp im)) (* 0.5 (exp im)))))) (cos re)))>
* * * * [misc]progress:  [ 22 / 31 ] simplifiying candidate #<alt (λ (re im) (* (* 1 (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (cos re)))>
* * * * [misc]progress:  [ 23 / 31 ] simplifiying candidate #<alt (λ (re im) (* (/ (- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* 0.5 (exp im)) (* 0.5 (exp im)))) (- (/ 0.5 (exp im)) (* 0.5 (exp im)))) (cos re)))>
* * * * [misc]progress:  [ 24 / 31 ] simplifiying candidate #<alt (λ (re im) (* (* 0.5 (+ (/ 1 (exp im)) (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (+ (/ 1 (exp im)) (exp im))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (+ (exp (- im)) (exp im))
* [misc]simplify:  Simplified (2 1 2) to (λ (re im) (* (* 0.5 (+ (exp (- im)) (exp im))) (cos re)))
* * * * [misc]progress:  [ 25 / 31 ] simplifiying candidate #<alt (λ (re im) (* (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 26 / 31 ] simplifiying candidate #<alt (λ (re im) (* (+ (- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im)) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (+ (- 0.5 (* 0.5 im)) (* (* 0.25 im) im))
* [misc]simplify:  Simplified (2 1 1) to (λ (re im) (* (+ (+ (- 0.5 (* 0.5 im)) (* (* 0.25 im) im)) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 27 / 31 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ 0.5 (exp im))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (/ 0.5 (exp im))
* [misc]simplify:  Simplified (2 1 1) to (λ (re im) (* (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 28 / 31 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ 0.5 (exp im))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (/ 0.5 (exp im))
* [misc]simplify:  Simplified (2 1 1) to (λ (re im) (* (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 29 / 31 ] simplifiying candidate #<alt (λ (re im) (* (+ (* 1.3877787807814457e-17 (pow im 3)) (+ (* 0.5 (pow im 2)) 1.0)) (cos re)))>
* [enter]simplify:  Simplifying (+ (* 1.3877787807814457e-17 (pow im 3)) (+ (* 0.5 (pow im 2)) 1.0))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (+ 1.0 (* (+ 0.5 (* 1.3877787807814457e-17 im)) (* im im)))
* [misc]simplify:  Simplified (2 1) to (λ (re im) (* (+ 1.0 (* (+ 0.5 (* 1.3877787807814457e-17 im)) (* im im))) (cos re)))
* * * * [misc]progress:  [ 30 / 31 ] simplifiying candidate #<alt (λ (re im) (* (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im)))) (cos re)))>
* [enter]simplify:  Simplifying (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (+ (* 0.5 (exp im)) (/ 0.5 (exp im)))
* [misc]simplify:  Simplified (2 1) to (λ (re im) (* (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 31 / 31 ] simplifiying candidate #<alt (λ (re im) (* (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im)))) (cos re)))>
* [enter]simplify:  Simplifying (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (+ (* 0.5 (exp im)) (/ 0.5 (exp im)))
* [misc]simplify:  Simplified (2 1) to (λ (re im) (* (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) (cos re)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (re im) (* (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 3 ] rewriting at (2 1 1 1)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 3 ] generating series at (2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (/ 0.5 (sqrt (exp im))) in (im) around 0
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (sqrt (exp im))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (exp im)) in im
* [misc]taylor:  Taking taylor expansion of (exp im) in im
* [misc]taylor:  Taking 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 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 0.5 1) into 0.5
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (sqrt (exp im))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (exp im)) in im
* [misc]taylor:  Taking taylor expansion of (exp im) in im
* [misc]taylor:  Taking 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 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 0.5 1) into 0.5
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 0.5 (/ 1/2 1)))) into (- 0.25)
* [misc]backup-simplify:  Simplify (- 0.25) into (- 0.25)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (/ (- 1/2 (pow 1/2 2) (+)) (* 2 1)) into 1/8
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 0.5 (/ 1/8 1)) (* (- 0.25) (/ 1/2 1)))) into 0.0625
* [misc]backup-simplify:  Simplify 0.0625 into 0.0625
* [misc]backup-simplify:  Simplify (+ (* 0.0625 (pow im 2)) (+ (* (- 0.25) im) 0.5)) into (- (+ (* 0.0625 (pow im 2)) 0.5) (* 0.25 im))
* [misc]approximate:  Taking taylor expansion of (/ 0.5 (sqrt (exp (/ 1 im)))) in (im) around 0
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (sqrt (exp (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 im)) into (exp (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (exp (/ 1 im))) into (sqrt (exp (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ 0.5 (sqrt (exp (/ 1 im)))) into (* 0.5 (sqrt (/ 1 (exp (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (sqrt (exp (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 im)) into (exp (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (exp (/ 1 im))) into (sqrt (exp (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ 0.5 (sqrt (exp (/ 1 im)))) into (* 0.5 (sqrt (/ 1 (exp (/ 1 im)))))
* [misc]backup-simplify:  Simplify (* 0.5 (sqrt (/ 1 (exp (/ 1 im))))) into (* 0.5 (sqrt (/ 1 (exp (/ 1 im)))))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ 1 im))))) (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ 1 im))))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ 1 im))))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ 1 im))))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ 1 im))))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ 1 im))))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 0.5 (sqrt (/ 1 (exp (/ 1 (/ 1 im)))))) into (* 0.5 (sqrt (/ 1 (exp im))))
* [misc]approximate:  Taking taylor expansion of (/ 0.5 (sqrt (exp (/ 1 (- im))))) in (im) around 0
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (sqrt (exp (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- im))) into (exp (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (exp (/ -1 im))) into (sqrt (exp (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ 0.5 (sqrt (exp (/ -1 im)))) into (* 0.5 (sqrt (/ 1 (exp (/ -1 im)))))
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (sqrt (exp (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- im))) into (exp (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (exp (/ -1 im))) into (sqrt (exp (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ 0.5 (sqrt (exp (/ -1 im)))) into (* 0.5 (sqrt (/ 1 (exp (/ -1 im)))))
* [misc]backup-simplify:  Simplify (* 0.5 (sqrt (/ 1 (exp (/ -1 im))))) into (* 0.5 (sqrt (/ 1 (exp (/ -1 im)))))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ -1 im))))) (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ -1 im))))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ -1 im))))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ -1 im))))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ -1 im))))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ -1 im))))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 0.5 (sqrt (/ 1 (exp (/ -1 (/ 1 (- im))))))) into (* 0.5 (sqrt (/ 1 (exp im))))
* * * * [misc]progress:  [ 2 / 3 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) in (im) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (sqrt (exp im))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (exp im)) in im
* [misc]taylor:  Taking taylor expansion of (exp im) in im
* [misc]taylor:  Taking 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 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 0.5 1) into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (exp im)) in im
* [misc]taylor:  Taking taylor expansion of (exp im) in im
* [misc]taylor:  Taking 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 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 0.5 1) into 0.5
* [misc]taylor:  Taking taylor expansion of (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (sqrt (exp im))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (exp im)) in im
* [misc]taylor:  Taking taylor expansion of (exp im) in im
* [misc]taylor:  Taking 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 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 0.5 1) into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (exp im)) in im
* [misc]taylor:  Taking taylor expansion of (exp im) in im
* [misc]taylor:  Taking 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 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 0.5 1) into 0.5
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 0.5 (/ 1/2 1)))) into (- 0.25)
* [misc]backup-simplify:  Simplify (- (/ (- 0.25) 1) (+ (* 0.5 (/ 1/2 1)))) into (- 0.5)
* [misc]backup-simplify:  Simplify (- 0.5) into (- 0.5)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (/ (- 1/2 (pow 1/2 2) (+)) (* 2 1)) into 1/8
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 0.5 (/ 1/8 1)) (* (- 0.25) (/ 1/2 1)))) into 0.0625
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (/ (- 1/2 (pow 1/2 2) (+)) (* 2 1)) into 1/8
* [misc]backup-simplify:  Simplify (- (/ 0.0625 1) (+ (* 0.5 (/ 1/8 1)) (* (- 0.5) (/ 1/2 1)))) into 0.25
* [misc]backup-simplify:  Simplify 0.25 into 0.25
* [misc]backup-simplify:  Simplify (+ (* 0.25 (pow im 2)) (+ (* (- 0.5) im) 0.5)) into (- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im))
* [misc]approximate:  Taking taylor expansion of (/ (/ 0.5 (sqrt (exp (/ 1 im)))) (sqrt (exp (/ 1 im)))) in (im) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 0.5 (sqrt (exp (/ 1 im)))) (sqrt (exp (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (sqrt (exp (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 im)) into (exp (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (exp (/ 1 im))) into (sqrt (exp (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ 0.5 (sqrt (exp (/ 1 im)))) into (* 0.5 (sqrt (/ 1 (exp (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 im)) into (exp (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (exp (/ 1 im))) into (sqrt (exp (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (* 0.5 (sqrt (/ 1 (exp (/ 1 im))))) (sqrt (exp (/ 1 im)))) into (/ 0.5 (exp (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 0.5 (sqrt (exp (/ 1 im)))) (sqrt (exp (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (sqrt (exp (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 im)) into (exp (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (exp (/ 1 im))) into (sqrt (exp (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ 0.5 (sqrt (exp (/ 1 im)))) into (* 0.5 (sqrt (/ 1 (exp (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 im)) into (exp (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (exp (/ 1 im))) into (sqrt (exp (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (* 0.5 (sqrt (/ 1 (exp (/ 1 im))))) (sqrt (exp (/ 1 im)))) into (/ 0.5 (exp (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0.5 (exp (/ 1 im))) into (/ 0.5 (exp (/ 1 im)))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ 1 im))))) (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ 1 im))))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ 1 im))))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ 1 im))))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ 1 im))))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ 1 im))))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0.5 (exp (/ 1 (/ 1 im)))) into (/ 0.5 (exp im))
* [misc]approximate:  Taking taylor expansion of (/ (/ 0.5 (sqrt (exp (/ 1 (- im))))) (sqrt (exp (/ 1 (- im))))) in (im) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 0.5 (sqrt (exp (/ 1 (- im))))) (sqrt (exp (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (sqrt (exp (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- im))) into (exp (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (exp (/ -1 im))) into (sqrt (exp (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ 0.5 (sqrt (exp (/ -1 im)))) into (* 0.5 (sqrt (/ 1 (exp (/ -1 im)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- im))) into (exp (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (exp (/ -1 im))) into (sqrt (exp (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (* 0.5 (sqrt (/ 1 (exp (/ -1 im))))) (sqrt (exp (/ -1 im)))) into (/ 0.5 (exp (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 0.5 (sqrt (exp (/ 1 (- im))))) (sqrt (exp (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (sqrt (exp (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- im))) into (exp (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (exp (/ -1 im))) into (sqrt (exp (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ 0.5 (sqrt (exp (/ -1 im)))) into (* 0.5 (sqrt (/ 1 (exp (/ -1 im)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- im))) into (exp (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (exp (/ -1 im))) into (sqrt (exp (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (* 0.5 (sqrt (/ 1 (exp (/ -1 im))))) (sqrt (exp (/ -1 im)))) into (/ 0.5 (exp (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0.5 (exp (/ -1 im))) into (/ 0.5 (exp (/ -1 im)))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ -1 im))))) (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ -1 im))))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ -1 im))))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ -1 im))))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ -1 im))))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ -1 im))))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ 0.5 (exp (/ -1 (/ 1 (- im))))) into (/ 0.5 (exp im))
* * * * [misc]progress:  [ 3 / 3 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im))) in (im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im))) in im
* [misc]taylor:  Taking taylor expansion of (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (sqrt (exp im))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (exp im)) in im
* [misc]taylor:  Taking taylor expansion of (exp im) in im
* [misc]taylor:  Taking 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 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 0.5 1) into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (exp im)) in im
* [misc]taylor:  Taking taylor expansion of (exp im) in im
* [misc]taylor:  Taking 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 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 0.5 1) into 0.5
* [misc]taylor:  Taking taylor expansion of (* 0.5 (exp im)) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (exp im) in im
* [misc]taylor:  Taking 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 0) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im))) in im
* [misc]taylor:  Taking taylor expansion of (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) in im
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (sqrt (exp im))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (exp im)) in im
* [misc]taylor:  Taking taylor expansion of (exp im) in im
* [misc]taylor:  Taking 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 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 0.5 1) into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (exp im)) in im
* [misc]taylor:  Taking taylor expansion of (exp im) in im
* [misc]taylor:  Taking 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 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 0.5 1) into 0.5
* [misc]taylor:  Taking taylor expansion of (* 0.5 (exp im)) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (exp im) in im
* [misc]taylor:  Taking 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 0) into 1
* [misc]backup-simplify:  Simplify (* 0.5 1) into 0.5
* [misc]backup-simplify:  Simplify (+ 0.5 0.5) into 1.0
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 0.5 (/ 1/2 1)))) into (- 0.25)
* [misc]backup-simplify:  Simplify (- (/ (- 0.25) 1) (+ (* 0.5 (/ 1/2 1)))) into (- 0.5)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0.5 1) (* 0 1)) into 0.5
* [misc]backup-simplify:  Simplify (+ (- 0.5) 0.5) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (/ (- 1/2 (pow 1/2 2) (+)) (* 2 1)) into 1/8
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 0.5 (/ 1/8 1)) (* (- 0.25) (/ 1/2 1)))) into 0.0625
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (/ (- 1/2 (pow 1/2 2) (+)) (* 2 1)) into 1/8
* [misc]backup-simplify:  Simplify (- (/ 0.0625 1) (+ (* 0.5 (/ 1/8 1)) (* (- 0.5) (/ 1/2 1)))) into 0.25
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 0.5 1/2) (+ (* 0 1) (* 0 1))) into 0.25
* [misc]backup-simplify:  Simplify (+ 0.25 0.25) into 0.5
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6
* [misc]backup-simplify:  Simplify (/ (- 1/6 (+ (* 2 (* 1/2 1/8)))) (* 2 1)) into 1/48
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 0.5 (/ 1/48 1)) (* (- 0.25) (/ 1/8 1)) (* 0.0625 (/ 1/2 1)))) into (- 0.010416666666666664)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6
* [misc]backup-simplify:  Simplify (/ (- 1/6 (+ (* 2 (* 1/2 1/8)))) (* 2 1)) into 1/48
* [misc]backup-simplify:  Simplify (- (/ (- 0.010416666666666664) 1) (+ (* 0.5 (/ 1/48 1)) (* (- 0.5) (/ 1/8 1)) (* 0.25 (/ 1/2 1)))) into (- 0.08333333333333331)
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6
* [misc]backup-simplify:  Simplify (+ (* 0.5 1/6) (+ (* 0 1/2) (+ (* 0 1) (* 0 1)))) into 0.08333333333333333
* [misc]backup-simplify:  Simplify (+ (- 0.08333333333333331) 0.08333333333333333) into 1.3877787807814457e-17
* [misc]backup-simplify:  Simplify 1.3877787807814457e-17 into 1.3877787807814457e-17
* [misc]backup-simplify:  Simplify (+ (* 1.3877787807814457e-17 (pow im 3)) (+ (* 0.5 (pow im 2)) 1.0)) into (+ (* 1.3877787807814457e-17 (pow im 3)) (+ (* 0.5 (pow im 2)) 1.0))
* [misc]approximate:  Taking taylor expansion of (+ (/ (/ 0.5 (sqrt (exp (/ 1 im)))) (sqrt (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im)))) in (im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 0.5 (sqrt (exp (/ 1 im)))) (sqrt (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (/ (/ 0.5 (sqrt (exp (/ 1 im)))) (sqrt (exp (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (sqrt (exp (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 im)) into (exp (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (exp (/ 1 im))) into (sqrt (exp (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ 0.5 (sqrt (exp (/ 1 im)))) into (* 0.5 (sqrt (/ 1 (exp (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 im)) into (exp (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (exp (/ 1 im))) into (sqrt (exp (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (* 0.5 (sqrt (/ 1 (exp (/ 1 im))))) (sqrt (exp (/ 1 im)))) into (/ 0.5 (exp (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 im)) into (exp (/ 1 im))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 0.5 (sqrt (exp (/ 1 im)))) (sqrt (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (/ (/ 0.5 (sqrt (exp (/ 1 im)))) (sqrt (exp (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (sqrt (exp (/ 1 im)))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 im)) into (exp (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (exp (/ 1 im))) into (sqrt (exp (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ 0.5 (sqrt (exp (/ 1 im)))) into (* 0.5 (sqrt (/ 1 (exp (/ 1 im)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 im)) into (exp (/ 1 im))
* [misc]backup-simplify:  Simplify (sqrt (exp (/ 1 im))) into (sqrt (exp (/ 1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (* 0.5 (sqrt (/ 1 (exp (/ 1 im))))) (sqrt (exp (/ 1 im)))) into (/ 0.5 (exp (/ 1 im)))
* [misc]taylor:  Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 im)) into (exp (/ 1 im))
* [misc]backup-simplify:  Simplify (* 0.5 (exp (/ 1 im))) into (* 0.5 (exp (/ 1 im)))
* [misc]backup-simplify:  Simplify (+ (/ 0.5 (exp (/ 1 im))) (* 0.5 (exp (/ 1 im)))) into (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im))))
* [misc]backup-simplify:  Simplify (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im)))) into (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im))))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ 1 im))))) (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (* 0 (exp (/ 1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ 1 im))))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ 1 im))))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ 1 im))))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ 1 im))))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ 1 im))))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ 1 im)))) (+ (* (/ 0.5 (exp (/ 1 im))) (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))) (* 0 (/ 0 (sqrt (exp (/ 1 im))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 (/ 1 (exp (/ 1 (/ 1 im))))) (* 0.5 (exp (/ 1 (/ 1 im))))) into (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im))))
* [misc]approximate:  Taking taylor expansion of (+ (/ (/ 0.5 (sqrt (exp (/ 1 (- im))))) (sqrt (exp (/ 1 (- im))))) (* 0.5 (exp (/ 1 (- im))))) in (im) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 0.5 (sqrt (exp (/ 1 (- im))))) (sqrt (exp (/ 1 (- im))))) (* 0.5 (exp (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (/ (/ 0.5 (sqrt (exp (/ 1 (- im))))) (sqrt (exp (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (sqrt (exp (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- im))) into (exp (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (exp (/ -1 im))) into (sqrt (exp (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ 0.5 (sqrt (exp (/ -1 im)))) into (* 0.5 (sqrt (/ 1 (exp (/ -1 im)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- im))) into (exp (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (exp (/ -1 im))) into (sqrt (exp (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (* 0.5 (sqrt (/ 1 (exp (/ -1 im))))) (sqrt (exp (/ -1 im)))) into (/ 0.5 (exp (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of (* 0.5 (exp (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- im))) into (exp (/ -1 im))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 0.5 (sqrt (exp (/ 1 (- im))))) (sqrt (exp (/ 1 (- im))))) (* 0.5 (exp (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (/ (/ 0.5 (sqrt (exp (/ 1 (- im))))) (sqrt (exp (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of (/ 0.5 (sqrt (exp (/ 1 (- im))))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- im))) into (exp (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (exp (/ -1 im))) into (sqrt (exp (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ 0.5 (sqrt (exp (/ -1 im)))) into (* 0.5 (sqrt (/ 1 (exp (/ -1 im)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (exp (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- im))) into (exp (/ -1 im))
* [misc]backup-simplify:  Simplify (sqrt (exp (/ -1 im))) into (sqrt (exp (/ -1 im)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (/ (* 0.5 (sqrt (/ 1 (exp (/ -1 im))))) (sqrt (exp (/ -1 im)))) into (/ 0.5 (exp (/ -1 im)))
* [misc]taylor:  Taking taylor expansion of (* 0.5 (exp (/ 1 (- im)))) in im
* [misc]taylor:  Taking taylor expansion of 0.5 in im
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- im))) into (exp (/ -1 im))
* [misc]backup-simplify:  Simplify (* 0.5 (exp (/ -1 im))) into (* 0.5 (exp (/ -1 im)))
* [misc]backup-simplify:  Simplify (+ (/ 0.5 (exp (/ -1 im))) (* 0.5 (exp (/ -1 im)))) into (+ (* 0.5 (/ 1 (exp (/ -1 im)))) (* 0.5 (exp (/ -1 im))))
* [misc]backup-simplify:  Simplify (+ (* 0.5 (/ 1 (exp (/ -1 im)))) (* 0.5 (exp (/ -1 im)))) into (+ (* 0.5 (/ 1 (exp (/ -1 im)))) (* 0.5 (exp (/ -1 im))))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ -1 im))))) (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (* 0 (exp (/ -1 im)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ -1 im))))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ -1 im))))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 im)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ -1 im))))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ -1 im))))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 im)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (* 0.5 (sqrt (/ 1 (exp (/ -1 im))))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 im))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (exp (/ -1 im)))) (+ (* (/ 0.5 (exp (/ -1 im))) (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))) (* 0 (/ 0 (sqrt (exp (/ -1 im))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 (/ 1 (exp (/ -1 (/ 1 (- im)))))) (* 0.5 (exp (/ -1 (/ 1 (- im)))))) into (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (pow (/ 0.5 (sqrt (exp im))) 1) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 2 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (exp (log (/ 0.5 (sqrt (exp im))))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 3 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (log (exp (/ 0.5 (sqrt (exp im))))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 4 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (* (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (cbrt (/ 0.5 (sqrt (exp im))))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 5 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (cbrt (* (* (/ 0.5 (sqrt (exp im))) (/ 0.5 (sqrt (exp im)))) (/ 0.5 (sqrt (exp im))))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 6 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (* (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (/ 0.5 (sqrt (exp im))))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 7 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (/ (- 0.5) (- (sqrt (exp im)))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 8 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (* 1 (/ 0.5 (sqrt (exp im)))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 9 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (* 0.5 (/ 1 (sqrt (exp im)))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 10 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (/ 1 (/ (sqrt (exp im)) 0.5)) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 11 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (/ (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (cbrt (sqrt (exp im)))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (cbrt (sqrt (exp im)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (exp im)))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (re im) (* (+ (/ (/ (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (cbrt (sqrt (exp im)))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 12 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (/ (/ 0.5 (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (sqrt (cbrt (exp im)))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (sqrt (cbrt (exp im)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (exp im)))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (re im) (* (+ (/ (/ (/ 0.5 (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (sqrt (cbrt (exp im)))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 13 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (/ (/ 0.5 (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (exp im)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (exp im)))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (re im) (* (+ (/ (/ (/ 0.5 (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 14 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (/ (/ 0.5 (sqrt 1)) (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (sqrt (exp im))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (exp im))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (re im) (* (+ (/ (/ (/ 0.5 (sqrt 1)) (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 15 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (/ (/ 0.5 (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (exp im)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (exp im)))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (re im) (* (+ (/ (/ (/ 0.5 (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 16 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (/ (/ 0.5 1) (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (sqrt (exp im))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (exp im))
* [misc]simplify:  Simplified (2 1 1 1 2) to (λ (re im) (* (+ (/ (/ (/ 0.5 1) (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 17 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (pow (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) 1) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 18 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (exp (- (log (/ 0.5 (sqrt (exp im)))) (log (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (- (log (/ 0.5 (sqrt (exp im)))) (log (sqrt (exp im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (97 enodes)
* [exit]simplify:  Simplified to (- (log 0.5) (+ (log (sqrt (exp im))) (log (sqrt (exp im)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (exp (- (log 0.5) (+ (log (sqrt (exp im))) (log (sqrt (exp im)))))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 19 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (exp (log (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 20 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (log (exp (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 21 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (cbrt (/ (* (* (/ 0.5 (sqrt (exp im))) (/ 0.5 (sqrt (exp im)))) (/ 0.5 (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ (* (* (/ 0.5 (sqrt (exp im))) (/ 0.5 (sqrt (exp im)))) (/ 0.5 (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (222 enodes)
* * [misc]simplify:  iters left: 2 (455 enodes)
* [exit]simplify:  Simplified to (pow (/ 0.5 (exp im)) 3)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (cbrt (pow (/ 0.5 (exp im)) 3)) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 22 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (* (cbrt (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im)))) (cbrt (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))))) (cbrt (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 23 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (cbrt (* (* (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im)))) (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 24 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (sqrt (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im)))) (sqrt (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 25 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (- (/ 0.5 (sqrt (exp im)))) (- (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 26 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (sqrt (exp im)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (* (* (/ (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (sqrt (exp im))))) (/ (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* [enter]simplify:  Simplifying (/ (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (sqrt (exp im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (sqrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (* (/ (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 27 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (cbrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (sqrt (* (cbrt (exp im)) (cbrt (exp im)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ 0.5 (sqrt (exp im)))) (fabs (cbrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (* (* (/ (cbrt (/ 0.5 (sqrt (exp im)))) (fabs (cbrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (cbrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* [enter]simplify:  Simplifying (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (cbrt (exp im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (cbrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (* (* (/ (cbrt (/ 0.5 (sqrt (exp im)))) (fabs (cbrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (cbrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 28 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (sqrt (sqrt (exp im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (sqrt (sqrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (* (/ (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* [enter]simplify:  Simplifying (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (* (/ (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 29 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (sqrt 1)) (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt 1)) (cbrt (/ 0.5 (sqrt (exp im)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (* (* (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt 1)) (cbrt (/ 0.5 (sqrt (exp im))))) (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))
* [enter]simplify:  Simplifying (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (exp im)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (exp im)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (* (/ (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (sqrt 1)) (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 30 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (sqrt (sqrt (exp im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (sqrt (sqrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (* (/ (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* [enter]simplify:  Simplifying (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (* (/ (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 31 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) 1) (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (* (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))
* [enter]simplify:  Simplifying (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (exp im)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (exp im)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (* (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (/ (cbrt (/ 0.5 (sqrt (exp im)))) (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 32 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ (sqrt (/ 0.5 (sqrt (exp im)))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (sqrt (/ 0.5 (sqrt (exp im)))) (cbrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ 0.5 (sqrt (exp im)))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 0.5 (sqrt (exp im)))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (* (/ (sqrt (/ 0.5 (sqrt (exp im)))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (sqrt (/ 0.5 (sqrt (exp im)))) (cbrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* [enter]simplify:  Simplifying (/ (sqrt (/ 0.5 (sqrt (exp im)))) (cbrt (sqrt (exp im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 0.5 (sqrt (exp im)))) (cbrt (sqrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (* (/ (sqrt (/ 0.5 (sqrt (exp im)))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (sqrt (/ 0.5 (sqrt (exp im)))) (cbrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 33 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (cbrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (* (cbrt (exp im)) (cbrt (exp im)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 0.5 (sqrt (exp im)))) (fabs (cbrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (* (/ (sqrt (/ 0.5 (sqrt (exp im)))) (fabs (cbrt (exp im)))) (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (cbrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* [enter]simplify:  Simplifying (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (cbrt (exp im))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (cbrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (* (/ (sqrt (/ 0.5 (sqrt (exp im)))) (fabs (cbrt (exp im)))) (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (cbrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 34 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (* (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* [enter]simplify:  Simplifying (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (* (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 35 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt 1)) (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt 1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (* (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt 1)) (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))
* [enter]simplify:  Simplifying (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (exp im)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (exp im)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (* (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt 1)) (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 36 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (* (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* [enter]simplify:  Simplifying (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (* (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 37 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ (sqrt (/ 0.5 (sqrt (exp im)))) 1) (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ 0.5 (sqrt (exp im)))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 0.5 (sqrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (* (sqrt (/ 0.5 (sqrt (exp im)))) (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))
* [enter]simplify:  Simplifying (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (exp im)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (exp im)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (* (sqrt (/ 0.5 (sqrt (exp im)))) (/ (sqrt (/ 0.5 (sqrt (exp im)))) (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 38 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ 1 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ 0.5 (sqrt (exp im))) (cbrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (exp im)))) (cbrt (sqrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (* (/ (/ 1 (cbrt (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (exp im))) (cbrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* [enter]simplify:  Simplifying (/ (/ 0.5 (sqrt (exp im))) (cbrt (sqrt (exp im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ (/ 0.5 (sqrt (exp im))) (cbrt (sqrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (* (/ 1 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ 0.5 (sqrt (exp im))) (cbrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 39 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ 1 (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (/ 0.5 (sqrt (exp im))) (sqrt (cbrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (exp im)) (cbrt (exp im)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (* (/ 1 (fabs (cbrt (exp im)))) (/ (/ 0.5 (sqrt (exp im))) (sqrt (cbrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* [enter]simplify:  Simplifying (/ (/ 0.5 (sqrt (exp im))) (sqrt (cbrt (exp im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ 0.5 (sqrt (exp im))) (sqrt (cbrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (* (/ 1 (fabs (cbrt (exp im)))) (/ (/ 0.5 (sqrt (exp im))) (sqrt (cbrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 40 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ 1 (sqrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (exp im))) (sqrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (exp im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (* (/ 1 (sqrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (exp im))) (sqrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* [enter]simplify:  Simplifying (/ (/ 0.5 (sqrt (exp im))) (sqrt (sqrt (exp im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ (/ 0.5 (sqrt (exp im))) (sqrt (sqrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (* (/ 1 (sqrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (exp im))) (sqrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 41 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ 1 (sqrt 1)) (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (* (/ 1 (sqrt 1)) (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))
* [enter]simplify:  Simplifying (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ 0.5 (exp im))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (* (/ 1 (sqrt 1)) (/ 0.5 (exp im))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 42 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ 1 (sqrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (exp im))) (sqrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (exp im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (* (/ 1 (sqrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (exp im))) (sqrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* [enter]simplify:  Simplifying (/ (/ 0.5 (sqrt (exp im))) (sqrt (sqrt (exp im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ (/ 0.5 (sqrt (exp im))) (sqrt (sqrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (* (/ 1 (sqrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (exp im))) (sqrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 43 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ 1 1) (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (* 1 (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))
* [enter]simplify:  Simplifying (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ 0.5 (exp im))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (* 1 (/ 0.5 (exp im))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 44 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ 1 (sqrt (exp im))) (cbrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (/ 0.5 (cbrt (sqrt (exp im)))) (cbrt (sqrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (* (/ (/ 0.5 (cbrt (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (/ 1 (sqrt (exp im))) (cbrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (exp im))) (cbrt (sqrt (exp im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (exp im))) (cbrt (sqrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (* (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ 1 (sqrt (exp im))) (cbrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 45 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ 0.5 (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (/ 1 (sqrt (exp im))) (sqrt (cbrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ 0.5 (sqrt (* (cbrt (exp im)) (cbrt (exp im)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ 0.5 (fabs (cbrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (* (/ 0.5 (fabs (cbrt (exp im)))) (/ (/ 1 (sqrt (exp im))) (sqrt (cbrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (exp im))) (sqrt (cbrt (exp im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (exp im))) (sqrt (cbrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (* (/ 0.5 (fabs (cbrt (exp im)))) (/ (/ 1 (sqrt (exp im))) (sqrt (cbrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 46 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ 0.5 (sqrt (sqrt (exp im)))) (/ (/ 1 (sqrt (exp im))) (sqrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ 0.5 (sqrt (sqrt (exp im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (/ 0.5 (sqrt (sqrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (* (/ 0.5 (sqrt (sqrt (exp im)))) (/ (/ 1 (sqrt (exp im))) (sqrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (exp im))) (sqrt (sqrt (exp im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (exp im))) (sqrt (sqrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (* (/ 0.5 (sqrt (sqrt (exp im)))) (/ (/ 1 (sqrt (exp im))) (sqrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 47 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ 0.5 (sqrt 1)) (/ (/ 1 (sqrt (exp im))) (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ 0.5 (sqrt 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 0.5 (sqrt 1))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (* (/ 0.5 (sqrt 1)) (/ (/ 1 (sqrt (exp im))) (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (exp im))) (sqrt (exp im)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (exp im))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (* (/ 0.5 (sqrt 1)) (/ 1 (exp im))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 48 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ 0.5 (sqrt (sqrt (exp im)))) (/ (/ 1 (sqrt (exp im))) (sqrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ 0.5 (sqrt (sqrt (exp im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (/ 0.5 (sqrt (sqrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (* (/ 0.5 (sqrt (sqrt (exp im)))) (/ (/ 1 (sqrt (exp im))) (sqrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (exp im))) (sqrt (sqrt (exp im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (exp im))) (sqrt (sqrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (* (/ 0.5 (sqrt (sqrt (exp im)))) (/ (/ 1 (sqrt (exp im))) (sqrt (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 49 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ 0.5 1) (/ (/ 1 (sqrt (exp im))) (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ 0.5 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to 0.5
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (* 0.5 (/ (/ 1 (sqrt (exp im))) (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (exp im))) (sqrt (exp im)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (exp im))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 50 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* 1 (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 51 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* (/ 0.5 (sqrt (exp im))) (/ 1 (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 52 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ 1 (/ (sqrt (exp im)) (/ 0.5 (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 53 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (/ (/ 0.5 (sqrt (exp im))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (cbrt (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (cbrt (sqrt (exp im)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (exp im)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (/ (/ (/ 0.5 (sqrt (exp im))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (cbrt (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 54 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (/ (/ 0.5 (sqrt (exp im))) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (sqrt (cbrt (exp im)))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (sqrt (cbrt (exp im)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (exp im)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (/ (/ (/ 0.5 (sqrt (exp im))) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (sqrt (cbrt (exp im)))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 55 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (/ (/ 0.5 (sqrt (exp im))) (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (exp im)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (exp im)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (/ (/ (/ 0.5 (sqrt (exp im))) (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 56 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (/ (/ 0.5 (sqrt (exp im))) (sqrt 1)) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (sqrt (exp im))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (exp im))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (/ (/ (/ 0.5 (sqrt (exp im))) (sqrt 1)) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 57 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (/ (/ 0.5 (sqrt (exp im))) (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (exp im)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (exp im)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (/ (/ (/ 0.5 (sqrt (exp im))) (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 58 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (/ (/ 0.5 (sqrt (exp im))) 1) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (sqrt (exp im))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (exp im))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (re im) (* (+ (/ (/ (/ 0.5 (sqrt (exp im))) 1) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 59 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (/ (sqrt (exp im)) (cbrt (/ 0.5 (sqrt (exp im)))))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (/ (* (cbrt (/ 0.5 (sqrt (exp im)))) (cbrt (/ 0.5 (sqrt (exp im))))) (/ (sqrt (exp im)) (cbrt (/ 0.5 (sqrt (exp im)))))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 60 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (sqrt (/ 0.5 (sqrt (exp im)))) (/ (sqrt (exp im)) (sqrt (/ 0.5 (sqrt (exp im)))))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (sqrt (/ 0.5 (sqrt (exp im))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 0.5 (sqrt (exp im))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (/ (sqrt (/ 0.5 (sqrt (exp im)))) (/ (sqrt (exp im)) (sqrt (/ 0.5 (sqrt (exp im)))))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 61 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ 1 (/ (sqrt (exp im)) (/ 0.5 (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 62 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ 0.5 (/ (sqrt (exp im)) (/ 1 (sqrt (exp im))))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 63 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ 0.5 (* (sqrt (exp im)) (sqrt (exp im)))) (* 0.5 (exp im))) (cos re)))>
* * * * [misc]progress:  [ 64 / 83 ] simplifiying candidate #<alt (λ (re im) (* (log (* (exp (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im)))) (exp (* 0.5 (exp im))))) (cos re)))>
* [enter]simplify:  Simplifying (* (exp (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im)))) (exp (* 0.5 (exp im))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* [exit]simplify:  Simplified to (exp (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))
* [misc]simplify:  Simplified (2 1 1) to (λ (re im) (* (log (exp (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (cos re)))
* * * * [misc]progress:  [ 65 / 83 ] simplifiying candidate #<alt (λ (re im) (* (pow (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im))) 1) (cos re)))>
* * * * [misc]progress:  [ 66 / 83 ] simplifiying candidate #<alt (λ (re im) (* (exp (log (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im))))) (cos re)))>
* * * * [misc]progress:  [ 67 / 83 ] simplifiying candidate #<alt (λ (re im) (* (log (exp (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im))))) (cos re)))>
* * * * [misc]progress:  [ 68 / 83 ] simplifiying candidate #<alt (λ (re im) (* (* (* (cbrt (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im)))) (cbrt (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im))))) (cbrt (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im))))) (cos re)))>
* * * * [misc]progress:  [ 69 / 83 ] simplifiying candidate #<alt (λ (re im) (* (cbrt (* (* (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im))) (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im)))) (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im))))) (cos re)))>
* * * * [misc]progress:  [ 70 / 83 ] simplifiying candidate #<alt (λ (re im) (* (* (sqrt (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im)))) (sqrt (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im))))) (cos re)))>
* * * * [misc]progress:  [ 71 / 83 ] simplifiying candidate #<alt (λ (re im) (* (/ (+ (pow (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) 3) (pow (* 0.5 (exp im)) 3)) (+ (* (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im)))) (- (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im)))))) (cos re)))>
* * * * [misc]progress:  [ 72 / 83 ] simplifiying candidate #<alt (λ (re im) (* (* 1 (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im)))) (cos re)))>
* * * * [misc]progress:  [ 73 / 83 ] simplifiying candidate #<alt (λ (re im) (* (/ (- (* (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im)))) (* (* 0.5 (exp im)) (* 0.5 (exp im)))) (- (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im)))) (cos re)))>
* * * * [misc]progress:  [ 74 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* 0.5 (exp im)) (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im)))) (cos re)))>
* * * * [misc]progress:  [ 75 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (- (+ (* 0.0625 (pow im 2)) 0.5) (* 0.25 im)) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (- (+ (* 0.0625 (pow im 2)) 0.5) (* 0.25 im))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (+ (* (* im im) 0.0625) (- 0.5 (* im 0.25)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (/ (+ (* (* im im) 0.0625) (- 0.5 (* im 0.25))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 76 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (* 0.5 (sqrt (/ 1 (exp im)))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (/ 1 (exp im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (* (sqrt (exp (- im))) 0.5)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (/ (* (sqrt (exp (- im))) 0.5) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 77 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ (* 0.5 (sqrt (/ 1 (exp im)))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (* 0.5 (sqrt (/ 1 (exp im))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (* (sqrt (exp (- im))) 0.5)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (re im) (* (+ (/ (* (sqrt (exp (- im))) 0.5) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 78 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im)) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (+ (- 0.5 (* 0.5 im)) (* (* 0.25 im) im))
* [misc]simplify:  Simplified (2 1 1) to (λ (re im) (* (+ (+ (- 0.5 (* 0.5 im)) (* (* 0.25 im) im)) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 79 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ 0.5 (exp im))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (/ 0.5 (exp im))
* [misc]simplify:  Simplified (2 1 1) to (λ (re im) (* (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 80 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) (cos re)))>
* [enter]simplify:  Simplifying (/ 0.5 (exp im))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (/ 0.5 (exp im))
* [misc]simplify:  Simplified (2 1 1) to (λ (re im) (* (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 81 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* 1.3877787807814457e-17 (pow im 3)) (+ (* 0.5 (pow im 2)) 1.0)) (cos re)))>
* [enter]simplify:  Simplifying (+ (* 1.3877787807814457e-17 (pow im 3)) (+ (* 0.5 (pow im 2)) 1.0))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (+ 1.0 (* (+ 0.5 (* 1.3877787807814457e-17 im)) (* im im)))
* [misc]simplify:  Simplified (2 1) to (λ (re im) (* (+ 1.0 (* (+ 0.5 (* 1.3877787807814457e-17 im)) (* im im))) (cos re)))
* * * * [misc]progress:  [ 82 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im)))) (cos re)))>
* [enter]simplify:  Simplifying (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (+ (* 0.5 (exp im)) (/ 0.5 (exp im)))
* [misc]simplify:  Simplified (2 1) to (λ (re im) (* (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) (cos re)))
* * * * [misc]progress:  [ 83 / 83 ] simplifiying candidate #<alt (λ (re im) (* (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im)))) (cos re)))>
* [enter]simplify:  Simplifying (+ (* 0.5 (exp im)) (* 0.5 (/ 1 (exp im))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (+ (* 0.5 (exp im)) (/ 0.5 (exp im)))
* [misc]simplify:  Simplified (2 1) to (λ (re im) (* (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) (cos re)))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime:  Finding splitpoints for: (#<alt (λ (re im) (* (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))> #<alt (λ (re im) (* (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) (cos re)))>)
* * * [misc]regime-changes:  Trying 3 branch expressions: (im re (cos re))
* * * * [misc]regimes:  Trying to branch on im from (#<alt (λ (re im) (* (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))> #<alt (λ (re im) (* (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) (cos re)))>)
* * * * [misc]regimes:  Trying to branch on re from (#<alt (λ (re im) (* (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))> #<alt (λ (re im) (* (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) (cos re)))>)
* * * * [misc]regimes:  Trying to branch on (cos re) from (#<alt (λ (re im) (* (+ (/ (/ 0.5 (sqrt (exp im))) (sqrt (exp im))) (* 0.5 (exp im))) (cos re)))> #<alt (λ (re im) (* (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) (cos re)))>)
* * * [misc]regime:  Found split indices: #<option (#s(si 1 256))>
* [enter]simplify:  Simplifying (* (+ (/ 0.5 (exp im)) (* 0.5 (exp im))) (cos re))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))
* * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
* * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 3 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 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 4054 additional inputs, on iter 1 have 3946 / 8000
* * * * [misc]points:  Computing exacts on every 253 of 4054 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 126 of 4054 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 63 of 4054 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 4054 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 4054 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 4054 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 4054 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 4054 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 1974 additional inputs, on iter 2 have 6026 / 8000
* * * * [misc]points:  Computing exacts on every 123 of 1974 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 1974 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 1974 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 1974 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 1974 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 1974 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 1974 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 1009 additional inputs, on iter 3 have 6991 / 8000
* * * * [misc]points:  Computing exacts on every 63 of 1009 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 1009 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 1009 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 1009 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 1009 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 1009 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 475 additional inputs, on iter 4 have 7525 / 8000
* * * * [misc]points:  Computing exacts on every 29 of 475 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 14 of 475 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 475 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 475 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 475 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 231 additional inputs, on iter 5 have 7769 / 8000
* * * * [misc]points:  Computing exacts on every 14 of 231 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 231 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 231 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 231 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 120 additional inputs, on iter 6 have 7880 / 8000
* * * * [misc]points:  Computing exacts on every 7 of 120 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 120 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 120 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 54 additional inputs, on iter 7 have 7946 / 8000
* * * * [misc]points:  Computing exacts on every 3 of 54 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts for 54 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 31 additional inputs, on iter 8 have 7969 / 8000
* * * * [misc]points:  Computing exacts for 31 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 18 additional inputs, on iter 9 have 7982 / 8000
* * * * [misc]points:  Computing exacts for 18 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 7 additional inputs, on iter 10 have 7993 / 8000
* * * * [misc]points:  Computing exacts for 7 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 11 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 12 have 7997 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 13 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 8000 points with exact outputs