* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * [misc]progress:  [2/2] Setting up program.
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) (* x x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) (* x x))
* [misc]progress:  [Phase 2 of 3] Improving.
* * [misc]progress:  iteration 1 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-event (λ (x) (/ (- 1 (cos x)) (* x x)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 2 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (- 1 (cos x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (- (- 1/2)) into 1/2
* [misc]backup-simplify:  Simplify (+ 0 1/2) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (- 1/24) into -1/24
* [misc]backup-simplify:  Simplify (+ 0 -1/24) into -1/24
* [misc]backup-simplify:  Simplify -1/24 into -1/24
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 1/720)
* [misc]backup-simplify:  Simplify (- (- 1/720)) into 1/720
* [misc]backup-simplify:  Simplify (+ 0 1/720) into 1/720
* [misc]backup-simplify:  Simplify 1/720 into 1/720
* [misc]backup-simplify:  Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4)))
* [misc]approximate:  Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x)))
* [misc]approximate:  Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x)))
* * * * [misc]progress:  [ 2 / 2 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (- 1 (cos x)) (* x x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (cos x)) (* x x)) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* x x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (- (- 1/2)) into 1/2
* [misc]backup-simplify:  Simplify (+ 0 1/2) into 1/2
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (cos x)) (* x x)) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* x x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 1 -1) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (- (- 1/2)) into 1/2
* [misc]backup-simplify:  Simplify (+ 0 1/2) into 1/2
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (- 1/24) into -1/24
* [misc]backup-simplify:  Simplify (+ 0 -1/24) into -1/24
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24
* [misc]backup-simplify:  Simplify -1/24 into -1/24
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 1/720)
* [misc]backup-simplify:  Simplify (- (- 1/720)) into 1/720
* [misc]backup-simplify:  Simplify (+ 0 1/720) into 1/720
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720
* [misc]backup-simplify:  Simplify 1/720 into 1/720
* [misc]backup-simplify:  Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (cos (/ 1 x))) 1) into (- 1 (cos (/ 1 x)))
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (cos (/ 1 x))) 1) into (- 1 (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (- 1 (cos (/ 1 x))) (pow (/ 1 x) 2)) into (/ (- 1 (cos (/ 1 x))) (pow x 2))
* [misc]approximate:  Taking taylor expansion of (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (cos (/ -1 x))) 1) into (- 1 (cos (/ -1 x)))
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (cos (/ -1 x))) 1) into (- 1 (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (- 1 (cos (/ -1 x))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos (/ -1 x))) (pow x 2))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 38 ] simplifiying candidate #<alt-event (λ (x) (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (* x x)))>
* [enter]simplify:  Simplifying (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (* x x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (/ (+ (- (* (* x x) 1/2) (* (pow x 4) 1/24)) (* 1/720 (pow x 6))) (* x x))
* * * * [misc]progress:  [ 2 / 38 ] simplifiying candidate #<alt-event (λ (x) (/ (- 1 (cos (/ 1 x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (- 1 (cos (/ 1 x))) (* x x))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos (/ 1 x))) (* x x))
* * * * [misc]progress:  [ 3 / 38 ] simplifiying candidate #<alt-event (λ (x) (/ (- 1 (cos (/ -1 x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (- 1 (cos (/ -1 x))) (* x x))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos (/ -1 x))) (* x x))
* * * * [misc]progress:  [ 4 / 38 ] simplifiying candidate #<alt-event (λ (x) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))))>
* [enter]simplify:  Simplifying (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (+ 1/2 (- (* 1/720 (pow x 4)) (* (* x x) 1/24)))
* * * * [misc]progress:  [ 5 / 38 ] simplifiying candidate #<alt-event (λ (x) (/ (- 1 (cos (/ 1 x))) (pow x 2)))>
* [enter]simplify:  Simplifying (/ (- 1 (cos (/ 1 x))) (pow x 2))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos (/ 1 x))) (* x x))
* * * * [misc]progress:  [ 6 / 38 ] simplifiying candidate #<alt-event (λ (x) (/ (- 1 (cos (/ -1 x))) (pow x 2)))>
* [enter]simplify:  Simplifying (/ (- 1 (cos (/ -1 x))) (pow x 2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos (/ -1 x))) (* x x))
* * * * [misc]progress:  [ 7 / 38 ] simplifiying candidate #<alt-delta (λ (x) (/ (pow (- 1 (cos x)) 1) (* x x)))>
* * * * [misc]progress:  [ 8 / 38 ] simplifiying candidate #<alt-delta (λ (x) (/ (exp (log (- 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (log (- 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (log (- 1 (cos x)))
* [exit]simplify:  Simplified to (log (- 1 (cos x)))
* * * * [misc]progress:  [ 9 / 38 ] simplifiying candidate #<alt-delta (λ (x) (/ (log (exp (- 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (exp (- 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (exp (- 1 (cos x)))
* [exit]simplify:  Simplified to (exp (- 1 (cos x)))
* * * * [misc]progress:  [ 10 / 38 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x))))
* [exit]simplify:  Simplified to (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x))))
* [enter]simplify:  Simplifying (cbrt (- 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (cbrt (- 1 (cos x)))
* [exit]simplify:  Simplified to (cbrt (- 1 (cos x)))
* * * * [misc]progress:  [ 11 / 38 ] simplifiying candidate #<alt-delta (λ (x) (/ (cbrt (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (pow (- 1 (cos x)) 3)
* [exit]simplify:  Simplified to (pow (- 1 (cos x)) 3)
* * * * [misc]progress:  [ 12 / 38 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (sqrt (- 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (cos x)))
* [exit]simplify:  Simplified to (sqrt (- 1 (cos x)))
* [enter]simplify:  Simplifying (sqrt (- 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (cos x)))
* [exit]simplify:  Simplified to (sqrt (- 1 (cos x)))
* * * * [misc]progress:  [ 13 / 38 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (- (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (- (pow 1 3) (pow (cos x) 3))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* [exit]simplify:  Simplified to (- 1 (pow (cos x) 3))
* [exit]simplify:  Simplified to (- 1 (pow (cos x) 3))
* [enter]simplify:  Simplifying (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (+ (* (cos x) (cos x)) (+ 1 (cos x)))
* [exit]simplify:  Simplified to (+ (* (cos x) (cos x)) (+ 1 (cos x)))
* * * * [misc]progress:  [ 14 / 38 ] simplifiying candidate #<alt-delta (λ (x) (/ (+ 1 (- (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (- (cos x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (cos x))
* [exit]simplify:  Simplified to (- (cos x))
* * * * [misc]progress:  [ 15 / 38 ] simplifiying candidate #<alt-delta (λ (x) (/ (* 1 (- 1 (cos x))) (* x x)))>
* * * * [misc]progress:  [ 16 / 38 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (- (* 1 1) (* (cos x) (cos x))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (- (* 1 1) (* (cos x) (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* [enter]simplify:  Simplifying (+ 1 (cos x))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (+ 1 (cos x))
* [exit]simplify:  Simplified to (+ 1 (cos x))
* * * * [misc]progress:  [ 17 / 38 ] simplifiying candidate #<alt-delta (λ (x) (pow (/ (- 1 (cos x)) (* x x)) 1))>
* * * * [misc]progress:  [ 18 / 38 ] simplifiying candidate #<alt-delta (λ (x) (exp (- (log (- 1 (cos x))) (log (* x x)))))>
* [enter]simplify:  Simplifying (- (log (- 1 (cos x))) (log (* x x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (- (log (- 1 (cos x))) (log (* x x)))
* [exit]simplify:  Simplified to (- (log (- 1 (cos x))) (log (* x x)))
* * * * [misc]progress:  [ 19 / 38 ] simplifiying candidate #<alt-delta (λ (x) (exp (log (/ (- 1 (cos x)) (* x x)))))>
* [enter]simplify:  Simplifying (log (/ (- 1 (cos x)) (* x x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (log (/ (- 1 (cos x)) (* x x)))
* [exit]simplify:  Simplified to (log (/ (- 1 (cos x)) (* x x)))
* * * * [misc]progress:  [ 20 / 38 ] simplifiying candidate #<alt-delta (λ (x) (log (exp (/ (- 1 (cos x)) (* x x)))))>
* [enter]simplify:  Simplifying (exp (/ (- 1 (cos x)) (* x x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (exp (/ (- 1 (cos x)) (* x x)))
* [exit]simplify:  Simplified to (exp (/ (- 1 (cos x)) (* x x)))
* * * * [misc]progress:  [ 21 / 38 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) (* x x)) (* x x)))))>
* [enter]simplify:  Simplifying (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) (* x x)) (* x x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (184 enodes)
* * [misc]simplify:  iters left: 1 (297 enodes)
* [exit]simplify:  Simplified to (pow (/ (- 1 (cos x)) (* x x)) 3)
* [exit]simplify:  Simplified to (pow (/ (- 1 (cos x)) (* x x)) 3)
* * * * [misc]progress:  [ 22 / 38 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) (cbrt (/ (- 1 (cos x)) (* x x)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x))))
* [exit]simplify:  Simplified to (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x))))
* [enter]simplify:  Simplifying (cbrt (/ (- 1 (cos x)) (* x x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (- 1 (cos x)) (* x x)))
* [exit]simplify:  Simplified to (cbrt (/ (- 1 (cos x)) (* x x)))
* * * * [misc]progress:  [ 23 / 38 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x)))))>
* [enter]simplify:  Simplifying (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (248 enodes)
* [exit]simplify:  Simplified to (pow (/ (- 1 (cos x)) (* x x)) 3)
* [exit]simplify:  Simplified to (pow (/ (- 1 (cos x)) (* x x)) 3)
* * * * [misc]progress:  [ 24 / 38 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (/ (- 1 (cos x)) (* x x))) (sqrt (/ (- 1 (cos x)) (* x x)))))>
* [enter]simplify:  Simplifying (sqrt (/ (- 1 (cos x)) (* x x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (- 1 (cos x)) (* x x)))
* [exit]simplify:  Simplified to (sqrt (/ (- 1 (cos x)) (* x x)))
* [enter]simplify:  Simplifying (sqrt (/ (- 1 (cos x)) (* x x)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (- 1 (cos x)) (* x x)))
* [exit]simplify:  Simplified to (sqrt (/ (- 1 (cos x)) (* x x)))
* * * * [misc]progress:  [ 25 / 38 ] simplifiying candidate #<alt-delta (λ (x) (/ (- (- 1 (cos x))) (- (* x x))))>
* [enter]simplify:  Simplifying (- (- 1 (cos x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (- (- 1 (cos x)))
* [exit]simplify:  Simplified to (- (- 1 (cos x)))
* [enter]simplify:  Simplifying (- (* x x))
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (* (- x) x)
* [exit]simplify:  Simplified to (* (- x) x)
* * * * [misc]progress:  [ 26 / 38 ] simplifiying candidate #<alt-delta (λ (x) (- (/ 1 (* x x)) (/ (cos x) (* x x))))>
* [enter]simplify:  Simplifying (/ 1 (* x x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 x) x)
* [exit]simplify:  Simplified to (/ (/ 1 x) x)
* [enter]simplify:  Simplifying (/ (cos x) (* x x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos x) (* x x))
* [exit]simplify:  Simplified to (/ (cos x) (* x x))
* * * * [misc]progress:  [ 27 / 38 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) x) (/ (cbrt (- 1 (cos x))) x)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) x)
* * [misc]simplify:  iters left: 6 (7 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 (- 1 (cos x))) (/ x (cbrt (- 1 (cos x)))))
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (cos x))) (/ x (cbrt (- 1 (cos x)))))
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (cos x))) x)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (cos x))) x)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (cos x))) x)
* * * * [misc]progress:  [ 28 / 38 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x)))>
* [enter]simplify:  Simplifying (/ (sqrt (- 1 (cos x))) x)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 (cos x))) x)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 (cos x))) x)
* [enter]simplify:  Simplifying (/ (sqrt (- 1 (cos x))) x)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 (cos x))) x)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 (cos x))) x)
* * * * [misc]progress:  [ 29 / 38 ] simplifiying candidate #<alt-delta (λ (x) (* (/ 1 x) (/ (- 1 (cos x)) x)))>
* [enter]simplify:  Simplifying (/ 1 x)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 x)
* [exit]simplify:  Simplified to (/ 1 x)
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) x)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) x)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) x)
* * * * [misc]progress:  [ 30 / 38 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (/ (- 1 (cos x)) (* x x))))>
* * * * [misc]progress:  [ 31 / 38 ] simplifiying candidate #<alt-delta (λ (x) (* (- 1 (cos x)) (/ 1 (* x x))))>
* [enter]simplify:  Simplifying (/ 1 (* x x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 x) x)
* [exit]simplify:  Simplified to (/ (/ 1 x) x)
* * * * [misc]progress:  [ 32 / 38 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (/ (* x x) (- 1 (cos x)))))>
* [enter]simplify:  Simplifying (/ (* x x) (- 1 (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (- 1 (cos x)))
* [exit]simplify:  Simplified to (/ (* x x) (- 1 (cos x)))
* * * * [misc]progress:  [ 33 / 38 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (- 1 (cos x)) x) x))>
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) x)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) x)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) x)
* * * * [misc]progress:  [ 34 / 38 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (/ (* x x) (cbrt (- 1 (cos x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (cbrt (- 1 (cos x))))
* * [misc]simplify:  iters left: 6 (7 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 (/ (* x x) (cbrt (- 1 (cos x))))
* [exit]simplify:  Simplified to (/ (* x x) (cbrt (- 1 (cos x))))
* * * * [misc]progress:  [ 35 / 38 ] simplifiying candidate #<alt-delta (λ (x) (/ (sqrt (- 1 (cos x))) (/ (* x x) (sqrt (- 1 (cos x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (sqrt (- 1 (cos x))))
* * [misc]simplify:  iters left: 6 (7 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 (/ (* x x) (sqrt (- 1 (cos x))))
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (- 1 (cos x))))
* * * * [misc]progress:  [ 36 / 38 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (/ (* x x) (- 1 (cos x)))))>
* [enter]simplify:  Simplifying (/ (* x x) (- 1 (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (- 1 (cos x)))
* [exit]simplify:  Simplified to (/ (* x x) (- 1 (cos x)))
* * * * [misc]progress:  [ 37 / 38 ] simplifiying candidate #<alt-delta (λ (x) (/ (- (pow 1 3) (pow (cos x) 3)) (* (* x x) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x)))))))>
* [enter]simplify:  Simplifying (* (* x x) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (134 enodes)
* * [misc]simplify:  iters left: 1 (162 enodes)
* [exit]simplify:  Simplified to (* (+ (+ 1 (cos x)) (* (cos x) (cos x))) (* x x))
* [exit]simplify:  Simplified to (* (+ (+ 1 (cos x)) (* (cos x) (cos x))) (* x x))
* * * * [misc]progress:  [ 38 / 38 ] simplifiying candidate #<alt-delta (λ (x) (/ (- (* 1 1) (* (cos x) (cos x))) (* (* x x) (+ 1 (cos x)))))>
* [enter]simplify:  Simplifying (* (* x x) (+ 1 (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (+ (* x x) (* (cos x) (* x x)))
* [exit]simplify:  Simplified to (+ (* x x) (* (cos x) (* x x)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin x) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (* x x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin x) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (* x x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ 0 (- 1/2)) into -1/2
* [misc]backup-simplify:  Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24
* [misc]backup-simplify:  Simplify -1/24 into -1/24
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (+ 0 1/24) into 1/24
* [misc]backup-simplify:  Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720
* [misc]backup-simplify:  Simplify 1/720 into 1/720
* [misc]backup-simplify:  Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (pow (/ 1 x) 2)) into (/ (pow (sin (/ 1 x)) 2) (* (+ (cos (/ 1 x)) 1) (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (pow (/ 1 (- x)) 2)) into (/ (pow (sin (/ -1 x)) 2) (* (+ (cos (/ -1 x)) 1) (pow x 2)))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (+ 1 (cos x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ 0 (- 1/2)) into -1/2
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (+ 0 1/24) into 1/24
* [misc]backup-simplify:  Simplify 1/24 into 1/24
* [misc]backup-simplify:  Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 2)) into (- (+ 2 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1)
* [misc]approximate:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1)
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (* (sin x) (sin x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sin x) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sin x) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3
* [misc]backup-simplify:  Simplify -1/3 into -1/3
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45
* [misc]backup-simplify:  Simplify 2/45 into 2/45
* [misc]backup-simplify:  Simplify (+ (* 2/45 (pow x 6)) (+ (* -1/3 (pow x 4)) (* 1 (pow x 2)))) into (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4)))
* [misc]approximate:  Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
* [misc]backup-simplify:  Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2)
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2)
* [misc]approximate:  Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
* [misc]backup-simplify:  Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2)
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2)
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin x) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin x) (sin x)) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ 0 (- 1/2)) into -1/2
* [misc]backup-simplify:  Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24
* [misc]backup-simplify:  Simplify -1/24 into -1/24
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (+ 0 1/24) into 1/24
* [misc]backup-simplify:  Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720
* [misc]backup-simplify:  Simplify 1/720 into 1/720
* [misc]backup-simplify:  Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4)))
* [misc]approximate:  Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2)
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]approximate:  Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]taylor:  Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2)
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 109 ] simplifiying candidate #<alt-event (λ (x) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))))>
* [enter]simplify:  Simplifying (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (+ 1/2 (- (* 1/720 (pow x 4)) (* (* x x) 1/24)))
* * * * [misc]progress:  [ 2 / 109 ] simplifiying candidate #<alt-event (λ (x) (/ (pow (sin (/ 1 x)) 2) (* (+ (cos (/ 1 x)) 1) (pow x 2))))>
* [enter]simplify:  Simplifying (/ (pow (sin (/ 1 x)) 2) (* (+ (cos (/ 1 x)) 1) (pow x 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (sin (/ 1 x)) x) (+ (cos (/ 1 x)) 1)) (/ (sin (/ 1 x)) x))
* * * * [misc]progress:  [ 3 / 109 ] simplifiying candidate #<alt-event (λ (x) (/ (pow (sin (/ -1 x)) 2) (* (+ (cos (/ -1 x)) 1) (pow x 2))))>
* [enter]simplify:  Simplifying (/ (pow (sin (/ -1 x)) 2) (* (+ (cos (/ -1 x)) 1) (pow x 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (sin (/ -1 x)) x) (/ (sin (/ -1 x)) x)) (+ (cos (/ -1 x)) 1))
* * * * [misc]progress:  [ 4 / 109 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (* (sin x) (sin x)) (- (+ 2 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (* (sin x) (sin x)) (- (+ 2 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))) (* x x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) (- (* 1/24 (pow x 4)) (- (* (* x x) 1/2) 2))) (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 5 / 109 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (* (sin x) (sin x)) (+ (cos (/ 1 x)) 1)) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (* (sin x) (sin x)) (+ (cos (/ 1 x)) 1)) (* x x))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (92 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos (/ 1 x)) 1))
* * * * [misc]progress:  [ 6 / 109 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (* (sin x) (sin x)) (+ (cos (/ -1 x)) 1)) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (* (sin x) (sin x)) (+ (cos (/ -1 x)) 1)) (* x x))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (95 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos (/ -1 x)))))
* * * * [misc]progress:  [ 7 / 109 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (+ (* 2/45 (pow x 6)) (- (* x x) (* (pow x 4) 1/3))) (+ (* (* x x) (cos x)) (* x x)))
* * * * [misc]progress:  [ 8 / 109 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (pow (sin (/ 1 x)) 2) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (pow (sin (/ 1 x)) 2) (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (99 enodes)
* [exit]simplify:  Simplified to (* (/ (sin (/ 1 x)) (* x x)) (/ (sin (/ 1 x)) (+ (cos x) 1)))
* * * * [misc]progress:  [ 9 / 109 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (pow (sin (/ -1 x)) 2) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (pow (sin (/ -1 x)) 2) (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (/ (* (sin (/ -1 x)) (sin (/ -1 x))) (+ (* (* x x) (cos x)) (* x x)))
* * * * [misc]progress:  [ 10 / 109 ] simplifiying candidate #<alt-event (λ (x) (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (* x x)))>
* [enter]simplify:  Simplifying (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (* x x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (/ (+ (- (* (* x x) 1/2) (* (pow x 4) 1/24)) (* 1/720 (pow x 6))) (* x x))
* * * * [misc]progress:  [ 11 / 109 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (* x x))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (99 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (sin (/ 1 x)) x) (+ (cos (/ 1 x)) 1)) (/ (sin (/ 1 x)) x))
* * * * [misc]progress:  [ 12 / 109 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (* x x))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (* (/ (sin (/ -1 x)) x) (/ (/ (sin (/ -1 x)) x) (+ (cos (/ -1 x)) 1)))
* * * * [misc]progress:  [ 13 / 109 ] simplifiying candidate #<alt-delta (λ (x) (pow (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) 1))>
* * * * [misc]progress:  [ 14 / 109 ] simplifiying candidate #<alt-delta (λ (x) (exp (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x)))))>
* [enter]simplify:  Simplifying (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (- (* 2 (- (log (sin x)) (log x))) (log (+ 1 (cos x))))
* [exit]simplify:  Simplified to (- (* 2 (- (log (sin x)) (log x))) (log (+ 1 (cos x))))
* * * * [misc]progress:  [ 15 / 109 ] simplifiying candidate #<alt-delta (λ (x) (exp (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x)))))>
* [enter]simplify:  Simplifying (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (- (+ (- (log (sin x)) (log x)) (- (log (sin x)) (log x))) (log (+ 1 (cos x))))
* [exit]simplify:  Simplified to (- (+ (- (log (sin x)) (log x)) (- (log (sin x)) (log x))) (log (+ 1 (cos x))))
* * * * [misc]progress:  [ 16 / 109 ] simplifiying candidate #<alt-delta (λ (x) (exp (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x)))))>
* [enter]simplify:  Simplifying (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ (log x) (log x)))
* [exit]simplify:  Simplified to (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ (log x) (log x)))
* * * * [misc]progress:  [ 17 / 109 ] simplifiying candidate #<alt-delta (λ (x) (exp (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
* [enter]simplify:  Simplifying (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (log (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (log (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x)))))
* * * * [misc]progress:  [ 18 / 109 ] simplifiying candidate #<alt-delta (λ (x) (log (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
* [enter]simplify:  Simplifying (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (150 enodes)
* [exit]simplify:  Simplified to (pow (exp (/ (sin x) (* x x))) (/ (sin x) (+ 1 (cos x))))
* [exit]simplify:  Simplified to (pow (exp (/ (sin x) (* x x))) (/ (sin x) (+ 1 (cos x))))
* * * * [misc]progress:  [ 19 / 109 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (409 enodes)
* [exit]simplify:  Simplified to (* (* (/ (* (sin x) (sin x)) (* (pow x 3) (pow x 3))) (/ (sin x) (+ 1 (cos x)))) (* (/ (sin x) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (* (* (/ (* (sin x) (sin x)) (* (pow x 3) (pow x 3))) (/ (sin x) (+ 1 (cos x)))) (* (/ (sin x) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))))
* * * * [misc]progress:  [ 20 / 109 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (121 enodes)
* * [misc]simplify:  iters left: 3 (386 enodes)
* [exit]simplify:  Simplified to (pow (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) 3)
* [exit]simplify:  Simplified to (pow (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) 3)
* * * * [misc]progress:  [ 21 / 109 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (415 enodes)
* [exit]simplify:  Simplified to (pow (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x)))) 3)
* [exit]simplify:  Simplified to (pow (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x)))) 3)
* * * * [misc]progress:  [ 22 / 109 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (91 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x))))) (cbrt (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x))))))
* [exit]simplify:  Simplified to (* (cbrt (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x))))) (cbrt (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x))))))
* [enter]simplify:  Simplifying (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* * [misc]simplify:  iters left: 1 (146 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x)))
* [exit]simplify:  Simplified to (cbrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x)))
* * * * [misc]progress:  [ 23 / 109 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
* [enter]simplify:  Simplifying (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (206 enodes)
* [exit]simplify:  Simplified to (pow (/ (* (sin x) (sin x)) (+ (* (* x x) (cos x)) (* x x))) 3)
* [exit]simplify:  Simplified to (pow (/ (* (sin x) (sin x)) (+ (* (* x x) (cos x)) (* x x))) 3)
* * * * [misc]progress:  [ 24 / 109 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* * [misc]simplify:  iters left: 1 (146 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x)))
* [exit]simplify:  Simplified to (sqrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x)))
* [enter]simplify:  Simplifying (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* * [misc]simplify:  iters left: 1 (146 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x)))
* [exit]simplify:  Simplified to (sqrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x)))
* * * * [misc]progress:  [ 25 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (- (* x x))))>
* [enter]simplify:  Simplifying (- (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (/ (- (sin x)) (/ (+ 1 (cos x)) (sin x)))
* [exit]simplify:  Simplified to (/ (- (sin x)) (/ (+ 1 (cos x)) (sin x)))
* [enter]simplify:  Simplifying (- (* x x))
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (* (- x) x)
* [exit]simplify:  Simplified to (* (- x) x)
* * * * [misc]progress:  [ 26 / 109 ] simplifiying candidate #<alt-delta (λ (x) (- (/ (/ 1 (+ 1 (cos x))) (* x x)) (/ (/ (* (cos x) (cos x)) (+ 1 (cos x))) (* x x))))>
* [enter]simplify:  Simplifying (/ (/ 1 (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 x) (+ 1 (cos x))) x)
* [exit]simplify:  Simplified to (/ (/ (/ 1 x) (+ 1 (cos x))) x)
* [enter]simplify:  Simplifying (/ (/ (* (cos x) (cos x)) (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (* (/ (cos x) x) (/ (/ (cos x) x) (+ 1 (cos x))))
* [exit]simplify:  Simplified to (* (/ (cos x) x) (/ (/ (cos x) x) (+ 1 (cos x))))
* * * * [misc]progress:  [ 27 / 109 ] simplifiying candidate #<alt-delta (λ (x) (- (/ (/ 1/2 (+ 1 (cos x))) (* x x)) (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x))))>
* [enter]simplify:  Simplifying (/ (/ 1/2 (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (/ 1/2 (+ (* (* x x) (cos x)) (* x x)))
* [exit]simplify:  Simplified to (/ 1/2 (+ (* (* x x) (cos x)) (* x x)))
* [enter]simplify:  Simplifying (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (197 enodes)
* [exit]simplify:  Simplified to (/ (* 1/2 (cos (+ x x))) (+ (* (cos x) (* x x)) (* x x)))
* [exit]simplify:  Simplified to (/ (* 1/2 (cos (+ x x))) (+ (* (cos x) (* x x)) (* x x)))
* * * * [misc]progress:  [ 28 / 109 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x) (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x))
* [exit]simplify:  Simplified to (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x))
* [enter]simplify:  Simplifying (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)
* * [misc]simplify:  iters left: 6 (9 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 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)
* [exit]simplify:  Simplified to (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)
* * * * [misc]progress:  [ 29 / 109 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)
* * [misc]simplify:  iters left: 6 (9 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 (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)
* [exit]simplify:  Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)
* [enter]simplify:  Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)
* * [misc]simplify:  iters left: 6 (9 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 (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)
* [exit]simplify:  Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)
* * * * [misc]progress:  [ 30 / 109 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) x) (/ (/ (sin x) (cbrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) x)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (* (cbrt (+ (cos x) 1)) (cbrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (* (cbrt (+ (cos x) 1)) (cbrt (+ (cos x) 1))))
* [enter]simplify:  Simplifying (/ (/ (sin x) (cbrt (+ 1 (cos x)))) x)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (cbrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (cbrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 31 / 109 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))
* [enter]simplify:  Simplifying (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 32 / 109 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) 1) x) (/ (/ (sin x) (+ 1 (cos x))) x)))>
* [enter]simplify:  Simplifying (/ (/ (sin x) 1) x)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (/ (sin x) x)
* [exit]simplify:  Simplified to (/ (sin x) x)
* [enter]simplify:  Simplifying (/ (/ (sin x) (+ 1 (cos x))) x)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (+ (cos x) 1))
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (+ (cos x) 1))
* * * * [misc]progress:  [ 33 / 109 ] simplifiying candidate #<alt-delta (λ (x) (* (/ 1 x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x)))>
* [enter]simplify:  Simplifying (/ 1 x)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 x)
* [exit]simplify:  Simplified to (/ 1 x)
* [enter]simplify:  Simplifying (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (+ x (* x (cos x))))
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (+ x (* x (cos x))))
* * * * [misc]progress:  [ 34 / 109 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (sin x) (sin x)) x) (/ (/ 1 (+ 1 (cos x))) x)))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin x)) x)
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) x) (sin x))
* [exit]simplify:  Simplified to (* (/ (sin x) x) (sin x))
* [enter]simplify:  Simplifying (/ (/ 1 (+ 1 (cos x))) x)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 x) (+ 1 (cos x)))
* [exit]simplify:  Simplified to (/ (/ 1 x) (+ 1 (cos x)))
* * * * [misc]progress:  [ 35 / 109 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) x) (/ (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) x)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (sin x) (sin x)) x) (+ 1 (pow (cos x) 3)))
* [exit]simplify:  Simplified to (/ (/ (* (sin x) (sin x)) x) (+ 1 (pow (cos x) 3)))
* [enter]simplify:  Simplifying (/ (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) x)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) x)
* [exit]simplify:  Simplified to (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) x)
* * * * [misc]progress:  [ 36 / 109 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) x) (/ (- 1 (cos x)) x)))>
* [enter]simplify:  Simplifying (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) x)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (110 enodes)
* [exit]simplify:  Simplified to (/ 1 x)
* [exit]simplify:  Simplified to (/ 1 x)
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) x)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) x)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) x)
* * * * [misc]progress:  [ 37 / 109 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))))>
* * * * [misc]progress:  [ 38 / 109 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ 1 (* x x))))>
* [enter]simplify:  Simplifying (/ 1 (* x x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 x) x)
* [exit]simplify:  Simplified to (/ (/ 1 x) x)
* * * * [misc]progress:  [ 39 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* [exit]simplify:  Simplified to (* (* (/ x (sin x)) (+ 1 (cos x))) (/ x (sin x)))
* [exit]simplify:  Simplified to (* (* (/ x (sin x)) (+ 1 (cos x))) (/ x (sin x)))
* * * * [misc]progress:  [ 40 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x) x))>
* [enter]simplify:  Simplifying (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (+ x (* x (cos x))))
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (+ x (* x (cos x))))
* * * * [misc]progress:  [ 41 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ (* x x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))))>
* [enter]simplify:  Simplifying (/ (* x x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (/ (* x x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))
* * * * [misc]progress:  [ 42 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))))>
* [enter]simplify:  Simplifying (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))
* * * * [misc]progress:  [ 43 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (* x x) (/ (sin x) (cbrt (+ 1 (cos x)))))))>
* [enter]simplify:  Simplifying (/ (* x x) (/ (sin x) (cbrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (/ (* x x) (sin x)) (cbrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (* (/ (* x x) (sin x)) (cbrt (+ 1 (cos x))))
* * * * [misc]progress:  [ 44 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (* x x) (/ (sin x) (sqrt (+ 1 (cos x)))))))>
* [enter]simplify:  Simplifying (/ (* x x) (/ (sin x) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (* (/ (* x x) (sin x)) (sqrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (* (/ (* x x) (sin x)) (sqrt (+ 1 (cos x))))
* * * * [misc]progress:  [ 45 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (sin x) 1) (/ (* x x) (/ (sin x) (+ 1 (cos x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (/ (sin x) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (110 enodes)
* [exit]simplify:  Simplified to (* (/ (* x x) (sin x)) (+ 1 (cos x)))
* [exit]simplify:  Simplified to (* (/ (* x x) (sin x)) (+ 1 (cos x)))
* * * * [misc]progress:  [ 46 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ 1 (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* [exit]simplify:  Simplified to (* (* (/ x (sin x)) (+ 1 (cos x))) (/ x (sin x)))
* [exit]simplify:  Simplified to (* (* (/ x (sin x)) (+ 1 (cos x))) (/ x (sin x)))
* * * * [misc]progress:  [ 47 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (sin x) (sin x)) (/ (* x x) (/ 1 (+ 1 (cos x))))))>
* [enter]simplify:  Simplifying (/ (* x x) (/ 1 (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (* (/ x (/ 1 x)) (+ (cos x) 1))
* [exit]simplify:  Simplified to (* (/ x (/ 1 x)) (+ (cos x) 1))
* * * * [misc]progress:  [ 48 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) (/ (* x x) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))))>
* [enter]simplify:  Simplifying (/ (* x x) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (+ (* (cos x) (cos x)) (- 1 (cos x))))
* [exit]simplify:  Simplified to (/ (* x x) (+ (* (cos x) (cos x)) (- 1 (cos x))))
* * * * [misc]progress:  [ 49 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (/ (* x x) (- 1 (cos x)))))>
* [enter]simplify:  Simplifying (/ (* x x) (- 1 (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (- 1 (cos x)))
* [exit]simplify:  Simplified to (/ (* x x) (- 1 (cos x)))
* * * * [misc]progress:  [ 50 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (sin x) (sin x)) (* (* x x) (+ 1 (cos x)))))>
* [enter]simplify:  Simplifying (* (* x x) (+ 1 (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (+ (* x x) (* (cos x) (* x x)))
* [exit]simplify:  Simplified to (+ (* x x) (* (cos x) (* x x)))
* * * * [misc]progress:  [ 51 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (pow (+ 1 (cos x)) 1)) (* x x)))>
* * * * [misc]progress:  [ 52 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (exp (log (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (log (+ 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (log (+ 1 (cos x)))
* [exit]simplify:  Simplified to (log (+ 1 (cos x)))
* * * * [misc]progress:  [ 53 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (log (exp (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (exp (+ 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (13 enodes)
* [exit]simplify:  Simplified to (* E (exp (cos x)))
* [exit]simplify:  Simplified to (* E (exp (cos x)))
* * * * [misc]progress:  [ 54 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (* (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))) (cbrt (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))
* [enter]simplify:  Simplifying (cbrt (+ 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (cbrt (+ 1 (cos x)))
* [exit]simplify:  Simplified to (cbrt (+ 1 (cos x)))
* * * * [misc]progress:  [ 55 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (cbrt (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (235 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (pow (+ (cos x) 1) 3)
* [exit]simplify:  Simplified to (pow (+ (cos x) 1) 3)
* * * * [misc]progress:  [ 56 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (* (sqrt (+ 1 (cos x))) (sqrt (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (cos x)))
* [exit]simplify:  Simplified to (sqrt (+ 1 (cos x)))
* [enter]simplify:  Simplifying (sqrt (+ 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (cos x)))
* [exit]simplify:  Simplified to (sqrt (+ 1 (cos x)))
* * * * [misc]progress:  [ 57 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (/ (+ (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))) (* x x)))>
* [enter]simplify:  Simplifying (+ (pow 1 3) (pow (cos x) 3))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (+ 1 (pow (cos x) 3))
* [exit]simplify:  Simplified to (+ 1 (pow (cos x) 3))
* [enter]simplify:  Simplifying (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (+ (- 1 (cos x)) (* (cos x) (cos x)))
* [exit]simplify:  Simplified to (+ (- 1 (cos x)) (* (cos x) (cos x)))
* * * * [misc]progress:  [ 58 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (* 1 (+ 1 (cos x)))) (* x x)))>
* * * * [misc]progress:  [ 59 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (/ (- (* 1 1) (* (cos x) (cos x))) (- 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (- (* 1 1) (* (cos x) (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* [enter]simplify:  Simplifying (- 1 (cos x))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (- 1 (cos x))
* [exit]simplify:  Simplified to (- 1 (cos x))
* * * * [misc]progress:  [ 60 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)))>
* * * * [misc]progress:  [ 61 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (- 1 (* (cos x) (cos x))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (cos x) (cos x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (* (cos x) (cos x))
* [exit]simplify:  Simplified to (* (cos x) (cos x))
* * * * [misc]progress:  [ 62 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* 1/2 (cos (* 2 x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (* 1/2 (cos (+ x x)))
* [exit]simplify:  Simplified to (* 1/2 (cos (+ x x)))
* * * * [misc]progress:  [ 63 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (/ (- (cos (- x x)) (cos (+ x x))) 2) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (- (cos (- x x)) (cos (+ x x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* [exit]simplify:  Simplified to (- 1 (cos (+ x x)))
* [exit]simplify:  Simplified to (- 1 (cos (+ x x)))
* * * * [misc]progress:  [ 64 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (pow (sin x) (+ 1 1)) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to 2
* [exit]simplify:  Simplified to 2
* * * * [misc]progress:  [ 65 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (pow (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (sin x) (sin x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* * * * [misc]progress:  [ 66 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
* * * * [misc]progress:  [ 67 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (pow (sin x) (+ 1 1)) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to 2
* [exit]simplify:  Simplified to 2
* * * * [misc]progress:  [ 68 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (pow (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
* * * * [misc]progress:  [ 69 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (exp (+ (log (sin x)) (log (sin x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (+ (log (sin x)) (log (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (+ (log (sin x)) (log (sin x)))
* [exit]simplify:  Simplified to (+ (log (sin x)) (log (sin x)))
* * * * [misc]progress:  [ 70 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (exp (log (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (log (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (+ (log (sin x)) (log (sin x)))
* [exit]simplify:  Simplified to (+ (log (sin x)) (log (sin x)))
* * * * [misc]progress:  [ 71 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (log (exp (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (exp (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (exp (* (sin x) (sin x)))
* [exit]simplify:  Simplified to (exp (* (sin x) (sin x)))
* * * * [misc]progress:  [ 72 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (cbrt (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x)))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (pow (* (sin x) (sin x)) 3)
* [exit]simplify:  Simplified to (pow (* (sin x) (sin x)) 3)
* * * * [misc]progress:  [ 73 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))) (cbrt (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x))))
* [exit]simplify:  Simplified to (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x))))
* [enter]simplify:  Simplifying (cbrt (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (* (sin x) (sin x)))
* [exit]simplify:  Simplified to (cbrt (* (sin x) (sin x)))
* * * * [misc]progress:  [ 74 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (cbrt (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (* (pow (sin x) 3) (pow (sin x) 3))
* [exit]simplify:  Simplified to (* (pow (sin x) 3) (pow (sin x) 3))
* * * * [misc]progress:  [ 75 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sqrt (* (sin x) (sin x))) (sqrt (* (sin x) (sin x)))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (sqrt (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (fabs (sin x))
* [exit]simplify:  Simplified to (fabs (sin x))
* [enter]simplify:  Simplifying (sqrt (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (fabs (sin x))
* [exit]simplify:  Simplified to (fabs (sin x))
* * * * [misc]progress:  [ 76 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* 1 (* (sin x) (sin x))) (+ 1 (cos x))) (* x x)))>
* * * * [misc]progress:  [ 77 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (* (sin x) (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (sin x))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (sin x) (* (cbrt (sin x)) (cbrt (sin x))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sin x)) (* (cbrt (sin x)) (sin x)))
* [exit]simplify:  Simplified to (* (cbrt (sin x)) (* (cbrt (sin x)) (sin x)))
* * * * [misc]progress:  [ 78 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (* (sin x) (sqrt (sin x))) (sqrt (sin x))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (sin x) (sqrt (sin x)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sin x)) (sin x))
* [exit]simplify:  Simplified to (* (sqrt (sin x)) (sin x))
* * * * [misc]progress:  [ 79 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (* (sin x) 1) (sin x)) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (sin x) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (sin x)
* [exit]simplify:  Simplified to (sin x)
* * * * [misc]progress:  [ 80 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (sin x))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (cbrt (sin x)) (sin x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sin x)) (sin x))
* [exit]simplify:  Simplified to (* (cbrt (sin x)) (sin x))
* * * * [misc]progress:  [ 81 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sqrt (sin x)) (* (sqrt (sin x)) (sin x))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (sqrt (sin x)) (sin x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sin x)) (sin x))
* [exit]simplify:  Simplified to (* (sqrt (sin x)) (sin x))
* * * * [misc]progress:  [ 82 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* 1 (* (sin x) (sin x))) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (* (sin x) (sin x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* * * * [misc]progress:  [ 83 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))>
* * * * [misc]progress:  [ 84 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (pow (/ (* (sin x) (sin x)) (+ 1 (cos x))) 1) (* x x)))>
* * * * [misc]progress:  [ 85 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (exp (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x))))
* [exit]simplify:  Simplified to (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x))))
* * * * [misc]progress:  [ 86 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (exp (- (log (* (sin x) (sin x))) (log (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (- (log (* (sin x) (sin x))) (log (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x))))
* [exit]simplify:  Simplified to (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x))))
* * * * [misc]progress:  [ 87 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (exp (log (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (log (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (log (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* [exit]simplify:  Simplified to (log (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * * * [misc]progress:  [ 88 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (log (exp (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (exp (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* [exit]simplify:  Simplified to (exp (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* [exit]simplify:  Simplified to (exp (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * * * [misc]progress:  [ 89 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (cbrt (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (215 enodes)
* * [misc]simplify:  iters left: 2 (448 enodes)
* [exit]simplify:  Simplified to (/ (pow (* (sin x) (sin x)) 3) (pow (+ 1 (cos x)) 3))
* [exit]simplify:  Simplified to (/ (pow (* (sin x) (sin x)) 3) (pow (+ 1 (cos x)) 3))
* * * * [misc]progress:  [ 90 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (cbrt (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (210 enodes)
* * [misc]simplify:  iters left: 2 (491 enodes)
* [exit]simplify:  Simplified to (pow (/ (* (sin x) (sin x)) (+ 1 (cos x))) 3)
* [exit]simplify:  Simplified to (pow (/ (* (sin x) (sin x)) (+ 1 (cos x))) 3)
* * * * [misc]progress:  [ 91 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 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 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))
* [enter]simplify:  Simplifying (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* [exit]simplify:  Simplified to (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * * * [misc]progress:  [ 92 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (cbrt (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (pow (/ (* (sin x) (sin x)) (+ 1 (cos x))) 3)
* [exit]simplify:  Simplified to (pow (/ (* (sin x) (sin x)) (+ 1 (cos x))) 3)
* * * * [misc]progress:  [ 93 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* [exit]simplify:  Simplified to (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* [enter]simplify:  Simplifying (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* [exit]simplify:  Simplified to (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * * * [misc]progress:  [ 94 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (- (* (sin x) (sin x))) (- (+ 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (- (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (* (sin x) (- (sin x)))
* [exit]simplify:  Simplified to (* (sin x) (- (sin x)))
* [enter]simplify:  Simplifying (- (+ 1 (cos x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (+ 1 (cos x)))
* [exit]simplify:  Simplified to (- (+ 1 (cos x)))
* * * * [misc]progress:  [ 95 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (- (/ 1 (+ 1 (cos x))) (/ (* (cos x) (cos x)) (+ 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (/ 1 (+ 1 (cos x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ 1 (cos x)))
* [exit]simplify:  Simplified to (/ 1 (+ 1 (cos x)))
* [enter]simplify:  Simplifying (/ (* (cos x) (cos x)) (+ 1 (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (/ (* (cos x) (cos x)) (+ 1 (cos x)))
* [exit]simplify:  Simplified to (/ (* (cos x) (cos x)) (+ 1 (cos x)))
* * * * [misc]progress:  [ 96 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (- (/ 1/2 (+ 1 (cos x))) (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (/ 1/2 (+ 1 (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (/ 1/2 (+ (cos x) 1))
* [exit]simplify:  Simplified to (/ 1/2 (+ (cos x) 1))
* [enter]simplify:  Simplifying (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x)))
* * [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 (23 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (* 1/2 (/ (cos (+ x x)) (+ 1 (cos x))))
* [exit]simplify:  Simplified to (* 1/2 (/ (cos (+ x x)) (+ 1 (cos x))))
* * * * [misc]progress:  [ 97 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (/ (sin x) (cbrt (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (/ (sin x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1)))
* [enter]simplify:  Simplifying (/ (sin x) (cbrt (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (cbrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (sin x) (cbrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 98 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (/ (sin x) (sqrt (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (+ (cos x) 1)))
* [enter]simplify:  Simplifying (/ (sin x) (sqrt (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 99 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (/ (sin x) 1) (/ (sin x) (+ 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (/ (sin x) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ (sin x) 1)
* [exit]simplify:  Simplified to (/ (sin x) 1)
* [enter]simplify:  Simplifying (/ (sin x) (+ 1 (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (+ (cos x) 1))
* [exit]simplify:  Simplified to (/ (sin x) (+ (cos x) 1))
* * * * [misc]progress:  [ 100 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (* 1 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* x x)))>
* * * * [misc]progress:  [ 101 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (* (sin x) (sin x)) (/ 1 (+ 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (/ 1 (+ 1 (cos x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ 1 (cos x)))
* [exit]simplify:  Simplified to (/ 1 (+ 1 (cos x)))
* * * * [misc]progress:  [ 102 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ 1 (/ (+ 1 (cos x)) (* (sin x) (sin x)))) (* x x)))>
* [enter]simplify:  Simplifying (/ (+ 1 (cos x)) (* (sin x) (sin x)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ (+ 1 (cos x)) (* (sin x) (sin x)))
* [exit]simplify:  Simplified to (/ (+ 1 (cos x)) (* (sin x) (sin x)))
* * * * [misc]progress:  [ 103 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (cbrt (+ 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (cbrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (* (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (cbrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 104 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) (sqrt (+ 1 (cos x)))) (* x x)))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x))))
* * * * [misc]progress:  [ 105 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (/ (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin x)) 1)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (/ 1 (sin x)))
* [exit]simplify:  Simplified to (/ (sin x) (/ 1 (sin x)))
* * * * [misc]progress:  [ 106 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (sin x) (/ (+ 1 (cos x)) (sin x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (+ 1 (cos x)) (sin x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (/ (+ 1 (cos x)) (sin x))
* [exit]simplify:  Simplified to (/ (+ 1 (cos x)) (sin x))
* * * * [misc]progress:  [ 107 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (+ 1 (pow (cos x) 3)))
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (+ 1 (pow (cos x) 3)))
* * * * [misc]progress:  [ 108 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (- 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* * * * [misc]progress:  [ 109 / 109 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (- (cos (- x x)) (cos (+ x x))) (* (+ 1 (cos x)) 2)) (* x x)))>
* [enter]simplify:  Simplifying (* (+ 1 (cos x)) 2)
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (26 enodes)
* [exit]simplify:  Simplified to (+ 2 (+ (cos x) (cos x)))
* [exit]simplify:  Simplified to (+ 2 (+ (cos x) (cos x)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin x) (sqrt (+ 1 (cos x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqrt 2)) 1) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin x) (sqrt (+ 1 (cos x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqrt 2)) 1) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin x) (sqrt (+ 1 (cos x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqrt 2)) 1) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin x) (sqrt (+ 1 (cos x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqrt 2)) 1) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (* (/ 1 (sqrt 2)) (/ 1 (sqrt 2))) into (/ 1 (pow (sqrt 2) 2))
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2))
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 (sqrt 2)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 (sqrt 2)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 (/ 1 (sqrt 2)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ 0 (- 1/2)) into -1/2
* [misc]backup-simplify:  Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ (- 1/6) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ (/ -1/4 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (/ (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) 1) (+ (* (/ 1 (sqrt 2)) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ 0 (- 1/2)) into -1/2
* [misc]backup-simplify:  Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ (- 1/6) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ (/ -1/4 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (/ (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) 1) (+ (* (/ 1 (sqrt 2)) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2))))) (+ (* 0 0) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ 1 (sqrt 2))))) into (- (* 1/2 (/ 1 (pow (sqrt 2) 4))) (* 1/3 (/ 1 (pow (sqrt 2) 2))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ 1 (pow (sqrt 2) 4))) (* 1/3 (/ 1 (pow (sqrt 2) 2)))) into (- (* 1/2 (/ 1 (pow (sqrt 2) 4))) (* 1/3 (/ 1 (pow (sqrt 2) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/4 (sqrt 2)))))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ (/ -1/4 (sqrt 2)) (sqrt 2))) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 (sqrt 2)) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/4 (sqrt 2)))))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ (/ -1/4 (sqrt 2)) (sqrt 2))) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 (sqrt 2)) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2))))) (+ (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) 0) (* 0 (/ 1 (sqrt 2)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (+ 0 1/24) into 1/24
* [misc]backup-simplify:  Simplify (/ (- 1/24 (pow (/ -1/4 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/24 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 1/120 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ (* 1/2 (/ (- 1/24 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ (/ -1/4 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (+ (* 3/32 (/ 1 (pow (sqrt 2) 5))) (* 1/120 (/ 1 (sqrt 2)))) (* 1/16 (/ 1 (pow (sqrt 2) 3))))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 3/32 (/ 1 (pow (sqrt 2) 5))) (* 1/120 (/ 1 (sqrt 2)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) 1) (+ (* (/ 1 (sqrt 2)) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (+ (* 3/32 (/ 1 (pow (sqrt 2) 5))) (* 1/120 (/ 1 (sqrt 2)))) (* 1/16 (/ 1 (pow (sqrt 2) 3))))
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (+ 0 1/24) into 1/24
* [misc]backup-simplify:  Simplify (/ (- 1/24 (pow (/ -1/4 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/24 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 1/120 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ (* 1/2 (/ (- 1/24 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ (/ -1/4 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (+ (* 3/32 (/ 1 (pow (sqrt 2) 5))) (* 1/120 (/ 1 (sqrt 2)))) (* 1/16 (/ 1 (pow (sqrt 2) 3))))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 3/32 (/ 1 (pow (sqrt 2) 5))) (* 1/120 (/ 1 (sqrt 2)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) 1) (+ (* (/ 1 (sqrt 2)) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (+ (* 3/32 (/ 1 (pow (sqrt 2) 5))) (* 1/120 (/ 1 (sqrt 2)))) (* 1/16 (/ 1 (pow (sqrt 2) 3))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (sqrt 2)) (- (+ (* 3/32 (/ 1 (pow (sqrt 2) 5))) (* 1/120 (/ 1 (sqrt 2)))) (* 1/16 (/ 1 (pow (sqrt 2) 3))))) (+ (* 0 0) (+ (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2))))) (+ (* 0 0) (* (- (+ (* 3/32 (/ 1 (pow (sqrt 2) 5))) (* 1/120 (/ 1 (sqrt 2)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) (/ 1 (sqrt 2))))))) into (- (+ (* 2/45 (/ 1 (pow (sqrt 2) 2))) (* 1/4 (/ 1 (pow (sqrt 2) 6)))) (* 5/24 (/ 1 (pow (sqrt 2) 4))))
* [misc]backup-simplify:  Simplify (- (+ (* 2/45 (/ 1 (pow (sqrt 2) 2))) (* 1/4 (/ 1 (pow (sqrt 2) 6)))) (* 5/24 (/ 1 (pow (sqrt 2) 4)))) into (- (+ (* 2/45 (/ 1 (pow (sqrt 2) 2))) (* 1/4 (/ 1 (pow (sqrt 2) 6)))) (* 5/24 (/ 1 (pow (sqrt 2) 4))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 2/45 (/ 1 (pow (sqrt 2) 2))) (* 1/4 (/ 1 (pow (sqrt 2) 6)))) (* 5/24 (/ 1 (pow (sqrt 2) 4)))) (pow x 4)) (+ (* (- (* 1/2 (/ 1 (pow (sqrt 2) 4))) (* 1/3 (/ 1 (pow (sqrt 2) 2)))) (pow x 2)) (/ 1 (pow (sqrt 2) 2)))) into (- (+ (* 1/2 (/ (pow x 2) (pow (sqrt 2) 4))) (+ (* 2/45 (/ (pow x 4) (pow (sqrt 2) 2))) (+ (* 1/4 (/ (pow x 4) (pow (sqrt 2) 6))) (/ 1 (pow (sqrt 2) 2))))) (+ (* 5/24 (/ (pow x 4) (pow (sqrt 2) 4))) (* 1/3 (/ (pow x 2) (pow (sqrt 2) 2)))))
* [misc]approximate:  Taking taylor expansion of (* (/ (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) (/ 1 x)) (/ (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) (/ 1 x)) (/ (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (cos (/ 1 x)) 1)) into (sqrt (+ (cos (/ 1 x)) 1))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (sin (/ 1 x)) (sqrt (+ (cos (/ 1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) 1) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (cos (/ 1 x)) 1)) into (sqrt (+ (cos (/ 1 x)) 1))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (sin (/ 1 x)) (sqrt (+ (cos (/ 1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) 1) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) (/ 1 x)) (/ (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (cos (/ 1 x)) 1)) into (sqrt (+ (cos (/ 1 x)) 1))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (sin (/ 1 x)) (sqrt (+ (cos (/ 1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) 1) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (cos (/ 1 x)) 1)) into (sqrt (+ (cos (/ 1 x)) 1))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (sin (/ 1 x)) (sqrt (+ (cos (/ 1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) 1) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) 0) (* 0 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (pow (/ 1 x) 2)) into (/ (pow (sin (/ 1 x)) 2) (* (+ (cos (/ 1 x)) 1) (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x))) (/ (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x))) (/ (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (cos (/ -1 x)) 1)) into (sqrt (+ (cos (/ -1 x)) 1))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (sin (/ -1 x)) (sqrt (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (/ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) -1) into (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (cos (/ -1 x)) 1)) into (sqrt (+ (cos (/ -1 x)) 1))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (sin (/ -1 x)) (sqrt (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (/ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) -1) into (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x))) (/ (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (cos (/ -1 x)) 1)) into (sqrt (+ (cos (/ -1 x)) 1))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (sin (/ -1 x)) (sqrt (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (/ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) -1) into (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (cos (/ -1 x)) 1)) into (sqrt (+ (cos (/ -1 x)) 1))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (sin (/ -1 x)) (sqrt (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (/ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) -1) into (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))
* [misc]backup-simplify:  Simplify (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) 0) (* 0 (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) 0) (+ (* 0 0) (* 0 (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (pow (/ 1 (- x)) 2)) into (/ (pow (sin (/ -1 x)) 2) (* (+ (cos (/ -1 x)) 1) (pow x 2)))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin x) (sqrt (+ 1 (cos x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqrt 2)) 1) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin x) (sqrt (+ 1 (cos x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqrt 2)) 1) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 (sqrt 2)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ 0 (- 1/2)) into -1/2
* [misc]backup-simplify:  Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ (- 1/6) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ (/ -1/4 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (/ (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) 1) (+ (* (/ 1 (sqrt 2)) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) into (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/4 (sqrt 2)))))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ (/ -1/4 (sqrt 2)) (sqrt 2))) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 (sqrt 2)) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (+ 0 1/24) into 1/24
* [misc]backup-simplify:  Simplify (/ (- 1/24 (pow (/ -1/4 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/24 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 1/120 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ (* 1/2 (/ (- 1/24 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ (/ -1/4 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (+ (* 3/32 (/ 1 (pow (sqrt 2) 5))) (* 1/120 (/ 1 (sqrt 2)))) (* 1/16 (/ 1 (pow (sqrt 2) 3))))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 3/32 (/ 1 (pow (sqrt 2) 5))) (* 1/120 (/ 1 (sqrt 2)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) 1) (+ (* (/ 1 (sqrt 2)) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (+ (* 3/32 (/ 1 (pow (sqrt 2) 5))) (* 1/120 (/ 1 (sqrt 2)))) (* 1/16 (/ 1 (pow (sqrt 2) 3))))
* [misc]backup-simplify:  Simplify (- (+ (* 3/32 (/ 1 (pow (sqrt 2) 5))) (* 1/120 (/ 1 (sqrt 2)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) into (- (+ (* 3/32 (/ 1 (pow (sqrt 2) 5))) (* 1/120 (/ 1 (sqrt 2)))) (* 1/16 (/ 1 (pow (sqrt 2) 3))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 3/32 (/ 1 (pow (sqrt 2) 5))) (* 1/120 (/ 1 (sqrt 2)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) (pow x 4)) (+ (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (pow x 2)) (/ 1 (sqrt 2)))) into (- (+ (* 1/120 (/ (pow x 4) (sqrt 2))) (+ (/ 1 (sqrt 2)) (+ (* 3/32 (/ (pow x 4) (pow (sqrt 2) 5))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 3)))))) (+ (* 1/16 (/ (pow x 4) (pow (sqrt 2) 3))) (* 1/6 (/ (pow x 2) (sqrt 2)))))
* [misc]approximate:  Taking taylor expansion of (/ (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) (/ 1 x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (cos (/ 1 x)) 1)) into (sqrt (+ (cos (/ 1 x)) 1))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (sin (/ 1 x)) (sqrt (+ (cos (/ 1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) 1) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (cos (/ 1 x)) 1)) into (sqrt (+ (cos (/ 1 x)) 1))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (sin (/ 1 x)) (sqrt (+ (cos (/ 1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) 1) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 1 x)) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (/ (sin (/ 1 x)) x))
* [misc]approximate:  Taking taylor expansion of (/ (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (cos (/ -1 x)) 1)) into (sqrt (+ (cos (/ -1 x)) 1))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (sin (/ -1 x)) (sqrt (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (/ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) -1) into (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (cos (/ -1 x)) 1)) into (sqrt (+ (cos (/ -1 x)) 1))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (sin (/ -1 x)) (sqrt (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (/ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) -1) into (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))
* [misc]backup-simplify:  Simplify (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) into (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 1 (- x))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (/ (sin (/ -1 x)) x))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin x) (sqrt (+ 1 (cos x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqrt 2)) 1) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin x) (sqrt (+ 1 (cos x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqrt 2)) 1) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 (sqrt 2)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ 0 (- 1/2)) into -1/2
* [misc]backup-simplify:  Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ (- 1/6) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ (/ -1/4 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (/ (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) 1) (+ (* (/ 1 (sqrt 2)) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) into (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/4 (sqrt 2)))))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ (/ -1/4 (sqrt 2)) (sqrt 2))) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 (sqrt 2)) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (+ 0 1/24) into 1/24
* [misc]backup-simplify:  Simplify (/ (- 1/24 (pow (/ -1/4 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/24 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 1/120 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ (* 1/2 (/ (- 1/24 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ (/ -1/4 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (+ (* 3/32 (/ 1 (pow (sqrt 2) 5))) (* 1/120 (/ 1 (sqrt 2)))) (* 1/16 (/ 1 (pow (sqrt 2) 3))))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 3/32 (/ 1 (pow (sqrt 2) 5))) (* 1/120 (/ 1 (sqrt 2)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) 1) (+ (* (/ 1 (sqrt 2)) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (+ (* 3/32 (/ 1 (pow (sqrt 2) 5))) (* 1/120 (/ 1 (sqrt 2)))) (* 1/16 (/ 1 (pow (sqrt 2) 3))))
* [misc]backup-simplify:  Simplify (- (+ (* 3/32 (/ 1 (pow (sqrt 2) 5))) (* 1/120 (/ 1 (sqrt 2)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) into (- (+ (* 3/32 (/ 1 (pow (sqrt 2) 5))) (* 1/120 (/ 1 (sqrt 2)))) (* 1/16 (/ 1 (pow (sqrt 2) 3))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 3/32 (/ 1 (pow (sqrt 2) 5))) (* 1/120 (/ 1 (sqrt 2)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) (pow x 4)) (+ (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (pow x 2)) (/ 1 (sqrt 2)))) into (- (+ (* 1/120 (/ (pow x 4) (sqrt 2))) (+ (/ 1 (sqrt 2)) (+ (* 3/32 (/ (pow x 4) (pow (sqrt 2) 5))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 3)))))) (+ (* 1/16 (/ (pow x 4) (pow (sqrt 2) 3))) (* 1/6 (/ (pow x 2) (sqrt 2)))))
* [misc]approximate:  Taking taylor expansion of (/ (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) (/ 1 x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (cos (/ 1 x)) 1)) into (sqrt (+ (cos (/ 1 x)) 1))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (sin (/ 1 x)) (sqrt (+ (cos (/ 1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) 1) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (cos (/ 1 x)) 1)) into (sqrt (+ (cos (/ 1 x)) 1))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (sin (/ 1 x)) (sqrt (+ (cos (/ 1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) 1) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 1 x)) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (/ (sin (/ 1 x)) x))
* [misc]approximate:  Taking taylor expansion of (/ (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (cos (/ -1 x)) 1)) into (sqrt (+ (cos (/ -1 x)) 1))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (sin (/ -1 x)) (sqrt (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (/ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) -1) into (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (cos (/ -1 x)) 1)) into (sqrt (+ (cos (/ -1 x)) 1))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (sin (/ -1 x)) (sqrt (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (/ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) -1) into (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))
* [misc]backup-simplify:  Simplify (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) into (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 1 (- x))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (/ (sin (/ -1 x)) x))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (/ (sin x) (sqrt (+ 1 (cos x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sin x) (sqrt (+ 1 (cos x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]taylor:  Taking taylor expansion of (/ (sin x) (sqrt (+ 1 (cos x)))) in x
* [misc]taylor:  Taking taylor expansion of (sin x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos x))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos x)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 1) into 2
* [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2))
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ 0 (- 1/2)) into -1/2
* [misc]backup-simplify:  Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -1/4 (sqrt 2))
* [misc]backup-simplify:  Simplify (- (/ (- 1/6) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ (/ -1/4 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) into (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2))))
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/4 (sqrt 2)))))) (* 2 (sqrt 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ (/ -1/4 (sqrt 2)) (sqrt 2))) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
* [misc]backup-simplify:  Simplify (+ 0 1/24) into 1/24
* [misc]backup-simplify:  Simplify (/ (- 1/24 (pow (/ -1/4 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/24 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))
* [misc]backup-simplify:  Simplify (- (/ 1/120 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ (* 1/2 (/ (- 1/24 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ (/ -1/4 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (+ (* 3/32 (/ 1 (pow (sqrt 2) 5))) (* 1/120 (/ 1 (sqrt 2)))) (* 1/16 (/ 1 (pow (sqrt 2) 3))))
* [misc]backup-simplify:  Simplify (- (+ (* 3/32 (/ 1 (pow (sqrt 2) 5))) (* 1/120 (/ 1 (sqrt 2)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) into (- (+ (* 3/32 (/ 1 (pow (sqrt 2) 5))) (* 1/120 (/ 1 (sqrt 2)))) (* 1/16 (/ 1 (pow (sqrt 2) 3))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 3/32 (/ 1 (pow (sqrt 2) 5))) (* 1/120 (/ 1 (sqrt 2)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) (pow x 5)) (+ (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (pow x 3)) (* (/ 1 (sqrt 2)) x))) into (- (+ (* 3/32 (/ (pow x 5) (pow (sqrt 2) 5))) (+ (/ x (sqrt 2)) (+ (* 1/120 (/ (pow x 5) (sqrt 2))) (* 1/4 (/ (pow x 3) (pow (sqrt 2) 3)))))) (+ (* 1/6 (/ (pow x 3) (sqrt 2))) (* 1/16 (/ (pow x 5) (pow (sqrt 2) 3)))))
* [misc]approximate:  Taking taylor expansion of (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (cos (/ 1 x)) 1)) into (sqrt (+ (cos (/ 1 x)) 1))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (sin (/ 1 x)) (sqrt (+ (cos (/ 1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [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 (sin (/ 1 x)) into (sin (/ 1 x))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (cos (/ 1 x)) into (cos (/ 1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (cos (/ 1 x)) 1)) into (sqrt (+ (cos (/ 1 x)) 1))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (sin (/ 1 x)) (sqrt (+ (cos (/ 1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ 1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ 1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ 1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x)))
* [misc]approximate:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (cos (/ -1 x)) 1)) into (sqrt (+ (cos (/ -1 x)) 1))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (sin (/ -1 x)) (sqrt (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (sin (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (sin (/ 1 (- x))) into (sin (/ -1 x))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (cos (/ 1 (- x))) into (cos (/ -1 x))
* [misc]backup-simplify:  Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (cos (/ -1 x)) 1)) into (sqrt (+ (cos (/ -1 x)) 1))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (sin (/ -1 x)) (sqrt (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 148 ] simplifiying candidate #<alt-event (λ (x) (- (+ (* 1/2 (/ (pow x 2) (pow (sqrt 2) 4))) (+ (* 2/45 (/ (pow x 4) (pow (sqrt 2) 2))) (+ (* 1/4 (/ (pow x 4) (pow (sqrt 2) 6))) (/ 1 (pow (sqrt 2) 2))))) (+ (* 5/24 (/ (pow x 4) (pow (sqrt 2) 4))) (* 1/3 (/ (pow x 2) (pow (sqrt 2) 2))))))>
* [enter]simplify:  Simplifying (- (+ (* 1/2 (/ (pow x 2) (pow (sqrt 2) 4))) (+ (* 2/45 (/ (pow x 4) (pow (sqrt 2) 2))) (+ (* 1/4 (/ (pow x 4) (pow (sqrt 2) 6))) (/ 1 (pow (sqrt 2) 2))))) (+ (* 5/24 (/ (pow x 4) (pow (sqrt 2) 4))) (* 1/3 (/ (pow x 2) (pow (sqrt 2) 2)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (193 enodes)
* * [misc]simplify:  iters left: 1 (236 enodes)
* [exit]simplify:  Simplified to (- (+ (+ (/ (* (* x x) 1/2) (pow (sqrt 2) 4)) (+ (/ 1 2) (/ (pow x 4) (/ 2 2/45)))) (- (/ (* (pow x 4) 1/4) (pow (sqrt 2) 6)) (/ (* (pow x 4) 5/24) (pow (sqrt 2) 4)))) (* (* 1/3 x) (/ x 2)))
* * * * [misc]progress:  [ 2 / 148 ] simplifiying candidate #<alt-event (λ (x) (/ (pow (sin (/ 1 x)) 2) (* (+ (cos (/ 1 x)) 1) (pow x 2))))>
* [enter]simplify:  Simplifying (/ (pow (sin (/ 1 x)) 2) (* (+ (cos (/ 1 x)) 1) (pow x 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (sin (/ 1 x)) x) (+ (cos (/ 1 x)) 1)) (/ (sin (/ 1 x)) x))
* * * * [misc]progress:  [ 3 / 148 ] simplifiying candidate #<alt-event (λ (x) (/ (pow (sin (/ -1 x)) 2) (* (+ (cos (/ -1 x)) 1) (pow x 2))))>
* [enter]simplify:  Simplifying (/ (pow (sin (/ -1 x)) 2) (* (+ (cos (/ -1 x)) 1) (pow x 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (sin (/ -1 x)) x) (/ (sin (/ -1 x)) x)) (+ (cos (/ -1 x)) 1))
* * * * [misc]progress:  [ 4 / 148 ] simplifiying candidate #<alt-event (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (- (+ (* 1/120 (/ (pow x 4) (sqrt 2))) (+ (/ 1 (sqrt 2)) (+ (* 3/32 (/ (pow x 4) (pow (sqrt 2) 5))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 3)))))) (+ (* 1/16 (/ (pow x 4) (pow (sqrt 2) 3))) (* 1/6 (/ (pow x 2) (sqrt 2)))))))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (- (+ (* 1/120 (/ (pow x 4) (sqrt 2))) (+ (/ 1 (sqrt 2)) (+ (* 3/32 (/ (pow x 4) (pow (sqrt 2) 5))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 3)))))) (+ (* 1/16 (/ (pow x 4) (pow (sqrt 2) 3))) (* 1/6 (/ (pow x 2) (sqrt 2))))))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (75 enodes)
* * [misc]simplify:  iters left: 4 (163 enodes)
* * [misc]simplify:  iters left: 3 (359 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (sin x) x) (sqrt (+ (cos x) 1))) (- (+ (+ (/ (* (pow x 4) 3/32) (pow (sqrt 2) 5)) (* (/ (* x x) (sqrt 2)) (- (/ 1/4 2) 1/6))) (+ (* (/ (pow x 4) (sqrt 2)) 1/120) (/ 1 (sqrt 2)))) (* (/ (pow x 4) 2) (/ 1/16 (sqrt 2)))))
* * * * [misc]progress:  [ 5 / 148 ] simplifiying candidate #<alt-event (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (/ (sin (/ 1 x)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (/ (sin (/ 1 x)) x)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (251 enodes)
* [exit]simplify:  Simplified to (* (* (/ (sin (/ 1 x)) (* x x)) (/ (sin x) (sqrt (+ (cos x) 1)))) (sqrt (/ 1 (+ 1 (cos (/ 1 x))))))
* * * * [misc]progress:  [ 6 / 148 ] simplifiying candidate #<alt-event (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (/ (sin (/ -1 x)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (/ (sin (/ -1 x)) x)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* * [misc]simplify:  iters left: 1 (253 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (* (/ (/ (sin x) x) x) (/ (sin (/ -1 x)) (sqrt (+ (cos x) 1)))))
* * * * [misc]progress:  [ 7 / 148 ] simplifiying candidate #<alt-event (λ (x) (* (- (+ (* 1/120 (/ (pow x 4) (sqrt 2))) (+ (/ 1 (sqrt 2)) (+ (* 3/32 (/ (pow x 4) (pow (sqrt 2) 5))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 3)))))) (+ (* 1/16 (/ (pow x 4) (pow (sqrt 2) 3))) (* 1/6 (/ (pow x 2) (sqrt 2))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (* (- (+ (* 1/120 (/ (pow x 4) (sqrt 2))) (+ (/ 1 (sqrt 2)) (+ (* 3/32 (/ (pow x 4) (pow (sqrt 2) 5))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 3)))))) (+ (* 1/16 (/ (pow x 4) (pow (sqrt 2) 3))) (* 1/6 (/ (pow x 2) (sqrt 2))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (142 enodes)
* * [misc]simplify:  iters left: 3 (247 enodes)
* * [misc]simplify:  iters left: 2 (377 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (sin x) x) (sqrt (+ 1 (cos x)))) (- (+ (+ (* (* 1/4 (/ x 2)) (/ x (sqrt 2))) (/ (* 3/32 (pow x 4)) (pow (sqrt 2) 5))) (+ (/ 1 (sqrt 2)) (* (/ 1/120 (sqrt 2)) (pow x 4)))) (+ (* (* 1/6 x) (/ x (sqrt 2))) (* (/ (pow x 4) 2) (/ 1/16 (sqrt 2))))))
* * * * [misc]progress:  [ 8 / 148 ] simplifiying candidate #<alt-event (λ (x) (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (/ (sin (/ 1 x)) x)) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (/ (sin (/ 1 x)) x)) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (263 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ 1 (+ 1 (cos (/ 1 x))))) (/ (/ (sin (/ 1 x)) (/ (* x x) (sin x))) (sqrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 9 / 148 ] simplifiying candidate #<alt-event (λ (x) (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (/ (sin (/ -1 x)) x)) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (/ (sin (/ -1 x)) x)) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (228 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (sin (/ -1 x)) (/ (* x x) (sin x))) (sqrt (+ (cos x) 1))) (sqrt (/ 1 (+ (cos (/ -1 x)) 1))))
* * * * [misc]progress:  [ 10 / 148 ] simplifiying candidate #<alt-event (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (- (+ (* 3/32 (/ (pow x 5) (pow (sqrt 2) 5))) (+ (/ x (sqrt 2)) (+ (* 1/120 (/ (pow x 5) (sqrt 2))) (* 1/4 (/ (pow x 3) (pow (sqrt 2) 3)))))) (+ (* 1/6 (/ (pow x 3) (sqrt 2))) (* 1/16 (/ (pow x 5) (pow (sqrt 2) 3))))) x)))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (- (+ (* 3/32 (/ (pow x 5) (pow (sqrt 2) 5))) (+ (/ x (sqrt 2)) (+ (* 1/120 (/ (pow x 5) (sqrt 2))) (* 1/4 (/ (pow x 3) (pow (sqrt 2) 3)))))) (+ (* 1/6 (/ (pow x 3) (sqrt 2))) (* 1/16 (/ (pow x 5) (pow (sqrt 2) 3))))) x))
* * [misc]simplify:  iters left: 6 (39 enodes)
* * [misc]simplify:  iters left: 5 (81 enodes)
* * [misc]simplify:  iters left: 4 (166 enodes)
* * [misc]simplify:  iters left: 3 (292 enodes)
* * [misc]simplify:  iters left: 2 (455 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) (sqrt (+ (cos x) 1))) (/ (+ (+ (/ (* 1/120 (pow x 5)) (sqrt 2)) (* (/ (* 1/4 x) (/ 2 x)) (/ x (sqrt 2)))) (- (+ (/ x (sqrt 2)) (/ (* (pow x 5) 3/32) (pow (sqrt 2) 5))) (+ (/ (/ (pow x 5) (/ 2 1/16)) (sqrt 2)) (/ (* 1/6 x) (/ (sqrt 2) (* x x)))))) (* x x)))
* * * * [misc]progress:  [ 11 / 148 ] simplifiying candidate #<alt-event (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) x)))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (197 enodes)
* * [misc]simplify:  iters left: 1 (289 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ 1 (+ 1 (cos (/ 1 x))))) (/ x (sin x))) (* (sqrt (+ (cos x) 1)) (/ x (sin (/ 1 x)))))
* * * * [misc]progress:  [ 12 / 148 ] simplifiying candidate #<alt-event (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) x)))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) x))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* * [misc]simplify:  iters left: 2 (193 enodes)
* * [misc]simplify:  iters left: 1 (277 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (* x x)) (/ (* (sin (/ -1 x)) (sin x)) (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 13 / 148 ] simplifiying candidate #<alt-delta (λ (x) (pow (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (+ 1 1)))>
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to 2
* [exit]simplify:  Simplified to 2
* * * * [misc]progress:  [ 14 / 148 ] simplifiying candidate #<alt-delta (λ (x) (pow (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) 1))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))
* [exit]simplify:  Simplified to (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))
* * * * [misc]progress:  [ 15 / 148 ] simplifiying candidate #<alt-delta (λ (x) (pow (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) 2))>
* * * * [misc]progress:  [ 16 / 148 ] simplifiying candidate #<alt-delta (λ (x) (pow (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (+ 1 1)))>
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to 2
* [exit]simplify:  Simplified to 2
* * * * [misc]progress:  [ 17 / 148 ] simplifiying candidate #<alt-delta (λ (x) (pow (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) 1))>
* * * * [misc]progress:  [ 18 / 148 ] simplifiying candidate #<alt-delta (λ (x) (exp (+ (log (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (log (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))))>
* [enter]simplify:  Simplifying (+ (log (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (log (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))) (log (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))))
* [exit]simplify:  Simplified to (+ (log (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))) (log (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))))
* * * * [misc]progress:  [ 19 / 148 ] simplifiying candidate #<alt-delta (λ (x) (exp (log (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))))>
* [enter]simplify:  Simplifying (log (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (234 enodes)
* [exit]simplify:  Simplified to (log (* (/ (/ (sin x) x) (+ (cos x) 1)) (/ (sin x) x)))
* [exit]simplify:  Simplified to (log (* (/ (/ (sin x) x) (+ (cos x) 1)) (/ (sin x) x)))
* * * * [misc]progress:  [ 20 / 148 ] simplifiying candidate #<alt-delta (λ (x) (log (exp (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))))>
* [enter]simplify:  Simplifying (exp (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (123 enodes)
* [exit]simplify:  Simplified to (exp (* (/ (/ (sin x) x) (+ (cos x) 1)) (/ (sin x) x)))
* [exit]simplify:  Simplified to (exp (* (/ (/ (sin x) x) (+ (cos x) 1)) (/ (sin x) x)))
* * * * [misc]progress:  [ 21 / 148 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (* (* (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (* (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))))>
* [enter]simplify:  Simplifying (* (* (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (* (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (228 enodes)
* * [misc]simplify:  iters left: 1 (454 enodes)
* [exit]simplify:  Simplified to (pow (* (/ (sin x) x) (/ (/ (sin x) x) (+ (cos x) 1))) 3)
* [exit]simplify:  Simplified to (pow (* (/ (sin x) x) (/ (/ (sin x) x) (+ (cos x) 1))) 3)
* * * * [misc]progress:  [ 22 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))) (cbrt (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))) (cbrt (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))) (cbrt (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (/ (/ (sin x) x) (+ (cos x) 1)) (/ (sin x) x))) (cbrt (* (/ (/ (sin x) x) (+ (cos x) 1)) (/ (sin x) x))))
* [exit]simplify:  Simplified to (* (cbrt (* (/ (/ (sin x) x) (+ (cos x) 1)) (/ (sin x) x))) (cbrt (* (/ (/ (sin x) x) (+ (cos x) 1)) (/ (sin x) x))))
* [enter]simplify:  Simplifying (cbrt (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (sin x) x) (/ (/ (sin x) x) (+ (cos x) 1))))
* [exit]simplify:  Simplified to (cbrt (* (/ (sin x) x) (/ (/ (sin x) x) (+ (cos x) 1))))
* * * * [misc]progress:  [ 23 / 148 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (* (* (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))))>
* [enter]simplify:  Simplifying (* (* (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (284 enodes)
* [exit]simplify:  Simplified to (pow (* (/ (sin x) x) (/ (/ (sin x) x) (+ (cos x) 1))) 3)
* [exit]simplify:  Simplified to (pow (* (/ (sin x) x) (/ (/ (sin x) x) (+ (cos x) 1))) 3)
* * * * [misc]progress:  [ 24 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))) (sqrt (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))))>
* [enter]simplify:  Simplifying (sqrt (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (/ (sin x) x) (+ (cos x) 1)) (/ (sin x) x)))
* [exit]simplify:  Simplified to (sqrt (* (/ (/ (sin x) x) (+ (cos x) 1)) (/ (sin x) x)))
* [enter]simplify:  Simplifying (sqrt (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (/ (sin x) x) (+ (cos x) 1)) (/ (sin x) x)))
* [exit]simplify:  Simplified to (sqrt (* (/ (/ (sin x) x) (+ (cos x) 1)) (/ (sin x) x)))
* * * * [misc]progress:  [ 25 / 148 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x))))) (* x x)))>
* [enter]simplify:  Simplifying (* (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (+ (cos x) 1))
* [exit]simplify:  Simplified to (/ (* (sin x) (sin x)) (+ (cos x) 1))
* [enter]simplify:  Simplifying (* x x)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (* x x)
* [exit]simplify:  Simplified to (* x x)
* * * * [misc]progress:  [ 26 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))))>
* * * * [misc]progress:  [ 27 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (* (cbrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (cbrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))) (cbrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (* (cbrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (cbrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (148 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))) (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))) (cbrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))))
* [exit]simplify:  Simplified to (* (* (cbrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))) (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))) (cbrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))))
* * * * [misc]progress:  [ 28 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (sqrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))) (sqrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (sqrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))) (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (* (sqrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))) (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 29 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) 1) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 30 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (sin x) (sqrt (+ 1 (cos x))))) (/ 1 x)))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (sin x) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (/ (+ (cos x) 1) (sin x)))
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (/ (+ (cos x) 1) (sin x)))
* * * * [misc]progress:  [ 31 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (cbrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))) (* (cbrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))) (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (* (cbrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))) (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 32 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (* (sqrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))) (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (* (sqrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))) (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 33 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))
* [exit]simplify:  Simplified to (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))
* * * * [misc]progress:  [ 34 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sin x) (sqrt (+ 1 (cos x)))) (* (/ 1 x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))))>
* [enter]simplify:  Simplifying (* (/ 1 x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (sin x) x) x) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (/ (/ (sin x) x) x) (sqrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 35 / 148 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (sin x) (sqrt (+ 1 (cos x))))) x))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (sin x) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (/ (+ (cos x) 1) (sin x)))
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (/ (+ (cos x) 1) (sin x)))
* * * * [misc]progress:  [ 36 / 148 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) x))>
* [enter]simplify:  Simplifying (* (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) x))
* [exit]simplify:  Simplified to (* (/ (sin x) (+ (cos x) 1)) (/ (sin x) x))
* * * * [misc]progress:  [ 37 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* * * * [misc]progress:  [ 38 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (pow (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) 1)))>
* * * * [misc]progress:  [ 39 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (exp (log (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))))>
* [enter]simplify:  Simplifying (log (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (log (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (log (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 40 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (log (exp (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))))>
* [enter]simplify:  Simplifying (exp (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (exp (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (exp (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 41 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (* (* (cbrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (cbrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))) (cbrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (cbrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))) (cbrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))) (cbrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))))
* [enter]simplify:  Simplifying (cbrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (cbrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 42 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (cbrt (* (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))))>
* [enter]simplify:  Simplifying (* (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (264 enodes)
* [exit]simplify:  Simplified to (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 43 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (* (sqrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (sqrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (sqrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* [enter]simplify:  Simplifying (sqrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (sqrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 44 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (- (/ (sin x) (sqrt (+ 1 (cos x))))) (- x))))>
* [enter]simplify:  Simplifying (- (/ (sin x) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (- (sin x)) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (- (sin x)) (sqrt (+ (cos x) 1)))
* [enter]simplify:  Simplifying (- x)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (- x)
* [exit]simplify:  Simplified to (- x)
* * * * [misc]progress:  [ 45 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (* 1 (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))))>
* * * * [misc]progress:  [ 46 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (* (/ (sin x) (sqrt (+ 1 (cos x)))) (/ 1 x))))>
* [enter]simplify:  Simplifying (/ 1 x)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 x)
* [exit]simplify:  Simplified to (/ 1 x)
* * * * [misc]progress:  [ 47 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ 1 (/ x (/ (sin x) (sqrt (+ 1 (cos x))))))))>
* [enter]simplify:  Simplifying (/ x (/ (sin x) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 48 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (cbrt (/ (sin x) (sqrt (+ 1 (cos x))))) (cbrt (/ (sin x) (sqrt (+ 1 (cos x)))))) (/ x (cbrt (/ (sin x) (sqrt (+ 1 (cos x)))))))))>
* [enter]simplify:  Simplifying (/ x (cbrt (/ (sin x) (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ x (cbrt (/ (sin x) (sqrt (+ (cos x) 1)))))
* [exit]simplify:  Simplified to (/ x (cbrt (/ (sin x) (sqrt (+ (cos x) 1)))))
* * * * [misc]progress:  [ 49 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (sqrt (/ (sin x) (sqrt (+ 1 (cos x))))) (/ x (sqrt (/ (sin x) (sqrt (+ 1 (cos x)))))))))>
* [enter]simplify:  Simplifying (/ x (sqrt (/ (sin x) (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ x (sqrt (/ (sin x) (sqrt (+ (cos x) 1)))))
* [exit]simplify:  Simplified to (/ x (sqrt (/ (sin x) (sqrt (+ (cos x) 1)))))
* * * * [misc]progress:  [ 50 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sqrt (+ 1 (cos x)))) (cbrt (sqrt (+ 1 (cos x)))))) (/ x (/ (cbrt (sin x)) (cbrt (sqrt (+ 1 (cos x)))))))))>
* [enter]simplify:  Simplifying (/ x (/ (cbrt (sin x)) (cbrt (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (cbrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (cbrt (sqrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 51 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))) (/ x (/ (cbrt (sin x)) (sqrt (cbrt (+ 1 (cos x)))))))))>
* [enter]simplify:  Simplifying (/ x (/ (cbrt (sin x)) (sqrt (cbrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (sqrt (cbrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (sqrt (cbrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 52 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sqrt (+ 1 (cos x))))) (/ x (/ (cbrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))))))>
* [enter]simplify:  Simplifying (/ x (/ (cbrt (sin x)) (sqrt (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (sqrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (sqrt (sqrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 53 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt 1)) (/ x (/ (cbrt (sin x)) (sqrt (+ 1 (cos x))))))))>
* [enter]simplify:  Simplifying (/ x (/ (cbrt (sin x)) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (sqrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (sqrt (+ 1 (cos x))))
* * * * [misc]progress:  [ 54 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sqrt (+ 1 (cos x))))) (/ x (/ (cbrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))))))>
* [enter]simplify:  Simplifying (/ x (/ (cbrt (sin x)) (sqrt (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (sqrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (sqrt (sqrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 55 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ x (/ (cbrt (sin x)) (sqrt (+ 1 (cos x))))))))>
* [enter]simplify:  Simplifying (/ x (/ (cbrt (sin x)) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (sqrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (sqrt (+ 1 (cos x))))
* * * * [misc]progress:  [ 56 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sqrt (sin x)) (* (cbrt (sqrt (+ 1 (cos x)))) (cbrt (sqrt (+ 1 (cos x)))))) (/ x (/ (sqrt (sin x)) (cbrt (sqrt (+ 1 (cos x)))))))))>
* [enter]simplify:  Simplifying (/ x (/ (sqrt (sin x)) (cbrt (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (* (/ x (sqrt (sin x))) (cbrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (* (/ x (sqrt (sin x))) (cbrt (sqrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 57 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sqrt (sin x)) (sqrt (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))) (/ x (/ (sqrt (sin x)) (sqrt (cbrt (+ 1 (cos x)))))))))>
* [enter]simplify:  Simplifying (/ x (/ (sqrt (sin x)) (sqrt (cbrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (* (/ x (sqrt (sin x))) (sqrt (cbrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (* (/ x (sqrt (sin x))) (sqrt (cbrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 58 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x))))) (/ x (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))))))>
* [enter]simplify:  Simplifying (/ x (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (* (/ x (sqrt (sin x))) (sqrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (* (/ x (sqrt (sin x))) (sqrt (sqrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 59 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sqrt (sin x)) (sqrt 1)) (/ x (/ (sqrt (sin x)) (sqrt (+ 1 (cos x))))))))>
* [enter]simplify:  Simplifying (/ x (/ (sqrt (sin x)) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* (/ x (sqrt (sin x))) (sqrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (* (/ x (sqrt (sin x))) (sqrt (+ 1 (cos x))))
* * * * [misc]progress:  [ 60 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x))))) (/ x (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))))))>
* [enter]simplify:  Simplifying (/ x (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (* (/ x (sqrt (sin x))) (sqrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (* (/ x (sqrt (sin x))) (sqrt (sqrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 61 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sqrt (sin x)) 1) (/ x (/ (sqrt (sin x)) (sqrt (+ 1 (cos x))))))))>
* [enter]simplify:  Simplifying (/ x (/ (sqrt (sin x)) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* (/ x (sqrt (sin x))) (sqrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (* (/ x (sqrt (sin x))) (sqrt (+ 1 (cos x))))
* * * * [misc]progress:  [ 62 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ 1 (* (cbrt (sqrt (+ 1 (cos x)))) (cbrt (sqrt (+ 1 (cos x)))))) (/ x (/ (sin x) (cbrt (sqrt (+ 1 (cos x)))))))))>
* [enter]simplify:  Simplifying (/ x (/ (sin x) (cbrt (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* (/ x (sin x)) (cbrt (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (* (/ x (sin x)) (cbrt (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 63 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ 1 (sqrt (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))) (/ x (/ (sin x) (sqrt (cbrt (+ 1 (cos x)))))))))>
* [enter]simplify:  Simplifying (/ x (/ (sin x) (sqrt (cbrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (cbrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (cbrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 64 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ 1 (sqrt (sqrt (+ 1 (cos x))))) (/ x (/ (sin x) (sqrt (sqrt (+ 1 (cos x)))))))))>
* [enter]simplify:  Simplifying (/ x (/ (sin x) (sqrt (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 65 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ 1 (sqrt 1)) (/ x (/ (sin x) (sqrt (+ 1 (cos x))))))))>
* [enter]simplify:  Simplifying (/ x (/ (sin x) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 66 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ 1 (sqrt (sqrt (+ 1 (cos x))))) (/ x (/ (sin x) (sqrt (sqrt (+ 1 (cos x)))))))))>
* [enter]simplify:  Simplifying (/ x (/ (sin x) (sqrt (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 67 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ 1 1) (/ x (/ (sin x) (sqrt (+ 1 (cos x))))))))>
* [enter]simplify:  Simplifying (/ x (/ (sin x) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 68 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ 1 (/ x (/ (sin x) (sqrt (+ 1 (cos x))))))))>
* [enter]simplify:  Simplifying (/ x (/ (sin x) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 69 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (sin x) (/ x (/ 1 (sqrt (+ 1 (cos x))))))))>
* [enter]simplify:  Simplifying (/ x (/ 1 (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 (cos x))) (/ 1 x))
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 (cos x))) (/ 1 x))
* * * * [misc]progress:  [ 70 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ (pow 1 3) (pow (cos x) 3)))) (/ x (sqrt (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))))))>
* [enter]simplify:  Simplifying (/ x (sqrt (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (/ x (sqrt (+ (* (cos x) (cos x)) (- 1 (cos x)))))
* [exit]simplify:  Simplified to (/ x (sqrt (+ (* (cos x) (cos x)) (- 1 (cos x)))))
* * * * [misc]progress:  [ 71 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (- (* 1 1) (* (cos x) (cos x))))) (/ x (sqrt (- 1 (cos x)))))))>
* [enter]simplify:  Simplifying (/ x (sqrt (- 1 (cos x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ x (sqrt (- 1 (cos x))))
* [exit]simplify:  Simplified to (/ x (sqrt (- 1 (cos x))))
* * * * [misc]progress:  [ 72 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (sin x) (* x (sqrt (+ 1 (cos x)))))))>
* [enter]simplify:  Simplifying (* x (sqrt (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (* x (sqrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (* x (sqrt (+ 1 (cos x))))
* * * * [misc]progress:  [ 73 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (pow (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) 1) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* * * * [misc]progress:  [ 74 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (exp (log (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (log (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (log (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (log (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 75 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (log (exp (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (exp (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (exp (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (exp (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 76 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (* (* (cbrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (cbrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))) (cbrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (* (cbrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (cbrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))) (cbrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))) (cbrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))))
* [enter]simplify:  Simplifying (cbrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (cbrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 77 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (cbrt (* (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (* (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (264 enodes)
* [exit]simplify:  Simplified to (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (* (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1)) (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 78 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (* (sqrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (sqrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (sqrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* [enter]simplify:  Simplifying (sqrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (sqrt (/ (/ (sin x) x) (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 79 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (- (/ (sin x) (sqrt (+ 1 (cos x))))) (- x)) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (- (/ (sin x) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (- (sin x)) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (- (sin x)) (sqrt (+ (cos x) 1)))
* [enter]simplify:  Simplifying (- x)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (- x)
* [exit]simplify:  Simplified to (- x)
* * * * [misc]progress:  [ 80 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (* 1 (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* * * * [misc]progress:  [ 81 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (* (/ (sin x) (sqrt (+ 1 (cos x)))) (/ 1 x)) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ 1 x)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 x)
* [exit]simplify:  Simplified to (/ 1 x)
* * * * [misc]progress:  [ 82 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ 1 (/ x (/ (sin x) (sqrt (+ 1 (cos x)))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (/ (sin x) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 83 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (cbrt (/ (sin x) (sqrt (+ 1 (cos x))))) (cbrt (/ (sin x) (sqrt (+ 1 (cos x)))))) (/ x (cbrt (/ (sin x) (sqrt (+ 1 (cos x))))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (cbrt (/ (sin x) (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ x (cbrt (/ (sin x) (sqrt (+ (cos x) 1)))))
* [exit]simplify:  Simplified to (/ x (cbrt (/ (sin x) (sqrt (+ (cos x) 1)))))
* * * * [misc]progress:  [ 84 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (/ (sin x) (sqrt (+ 1 (cos x))))) (/ x (sqrt (/ (sin x) (sqrt (+ 1 (cos x))))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (sqrt (/ (sin x) (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ x (sqrt (/ (sin x) (sqrt (+ (cos x) 1)))))
* [exit]simplify:  Simplified to (/ x (sqrt (/ (sin x) (sqrt (+ (cos x) 1)))))
* * * * [misc]progress:  [ 85 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sqrt (+ 1 (cos x)))) (cbrt (sqrt (+ 1 (cos x)))))) (/ x (/ (cbrt (sin x)) (cbrt (sqrt (+ 1 (cos x))))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (/ (cbrt (sin x)) (cbrt (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (cbrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (cbrt (sqrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 86 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))) (/ x (/ (cbrt (sin x)) (sqrt (cbrt (+ 1 (cos x))))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (/ (cbrt (sin x)) (sqrt (cbrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (sqrt (cbrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (sqrt (cbrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 87 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sqrt (+ 1 (cos x))))) (/ x (/ (cbrt (sin x)) (sqrt (sqrt (+ 1 (cos x))))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (/ (cbrt (sin x)) (sqrt (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (sqrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (sqrt (sqrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 88 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt 1)) (/ x (/ (cbrt (sin x)) (sqrt (+ 1 (cos x)))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (/ (cbrt (sin x)) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (sqrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (sqrt (+ 1 (cos x))))
* * * * [misc]progress:  [ 89 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sqrt (+ 1 (cos x))))) (/ x (/ (cbrt (sin x)) (sqrt (sqrt (+ 1 (cos x))))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (/ (cbrt (sin x)) (sqrt (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (sqrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (sqrt (sqrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 90 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ x (/ (cbrt (sin x)) (sqrt (+ 1 (cos x)))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (/ (cbrt (sin x)) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (sqrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (* (/ x (cbrt (sin x))) (sqrt (+ 1 (cos x))))
* * * * [misc]progress:  [ 91 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sqrt (sin x)) (* (cbrt (sqrt (+ 1 (cos x)))) (cbrt (sqrt (+ 1 (cos x)))))) (/ x (/ (sqrt (sin x)) (cbrt (sqrt (+ 1 (cos x))))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (/ (sqrt (sin x)) (cbrt (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (* (/ x (sqrt (sin x))) (cbrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (* (/ x (sqrt (sin x))) (cbrt (sqrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 92 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sqrt (sin x)) (sqrt (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))) (/ x (/ (sqrt (sin x)) (sqrt (cbrt (+ 1 (cos x))))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (/ (sqrt (sin x)) (sqrt (cbrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (* (/ x (sqrt (sin x))) (sqrt (cbrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (* (/ x (sqrt (sin x))) (sqrt (cbrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 93 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x))))) (/ x (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x))))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (* (/ x (sqrt (sin x))) (sqrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (* (/ x (sqrt (sin x))) (sqrt (sqrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 94 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sqrt (sin x)) (sqrt 1)) (/ x (/ (sqrt (sin x)) (sqrt (+ 1 (cos x)))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (/ (sqrt (sin x)) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* (/ x (sqrt (sin x))) (sqrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (* (/ x (sqrt (sin x))) (sqrt (+ 1 (cos x))))
* * * * [misc]progress:  [ 95 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x))))) (/ x (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x))))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (* (/ x (sqrt (sin x))) (sqrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (* (/ x (sqrt (sin x))) (sqrt (sqrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 96 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sqrt (sin x)) 1) (/ x (/ (sqrt (sin x)) (sqrt (+ 1 (cos x)))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (/ (sqrt (sin x)) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* (/ x (sqrt (sin x))) (sqrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (* (/ x (sqrt (sin x))) (sqrt (+ 1 (cos x))))
* * * * [misc]progress:  [ 97 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ 1 (* (cbrt (sqrt (+ 1 (cos x)))) (cbrt (sqrt (+ 1 (cos x)))))) (/ x (/ (sin x) (cbrt (sqrt (+ 1 (cos x))))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (/ (sin x) (cbrt (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* (/ x (sin x)) (cbrt (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (* (/ x (sin x)) (cbrt (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 98 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ 1 (sqrt (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))) (/ x (/ (sin x) (sqrt (cbrt (+ 1 (cos x))))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (/ (sin x) (sqrt (cbrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (cbrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (cbrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 99 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ 1 (sqrt (sqrt (+ 1 (cos x))))) (/ x (/ (sin x) (sqrt (sqrt (+ 1 (cos x))))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (/ (sin x) (sqrt (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 100 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ 1 (sqrt 1)) (/ x (/ (sin x) (sqrt (+ 1 (cos x)))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (/ (sin x) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 101 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ 1 (sqrt (sqrt (+ 1 (cos x))))) (/ x (/ (sin x) (sqrt (sqrt (+ 1 (cos x))))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (/ (sin x) (sqrt (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 102 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ 1 1) (/ x (/ (sin x) (sqrt (+ 1 (cos x)))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (/ (sin x) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 103 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ 1 (/ x (/ (sin x) (sqrt (+ 1 (cos x)))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (/ (sin x) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (22 enodes)
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (* (/ x (sin x)) (sqrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 104 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sin x) (/ x (/ 1 (sqrt (+ 1 (cos x)))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (/ 1 (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (21 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 (cos x))) (/ 1 x))
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 (cos x))) (/ 1 x))
* * * * [misc]progress:  [ 105 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ (pow 1 3) (pow (cos x) 3)))) (/ x (sqrt (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (sqrt (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (/ x (sqrt (+ (* (cos x) (cos x)) (- 1 (cos x)))))
* [exit]simplify:  Simplified to (/ x (sqrt (+ (* (cos x) (cos x)) (- 1 (cos x)))))
* * * * [misc]progress:  [ 106 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (- (* 1 1) (* (cos x) (cos x))))) (/ x (sqrt (- 1 (cos x))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ x (sqrt (- 1 (cos x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ x (sqrt (- 1 (cos x))))
* [exit]simplify:  Simplified to (/ x (sqrt (- 1 (cos x))))
* * * * [misc]progress:  [ 107 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sin x) (* x (sqrt (+ 1 (cos x))))) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (* x (sqrt (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (* x (sqrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (* x (sqrt (+ 1 (cos x))))
* * * * [misc]progress:  [ 108 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (pow (/ (sin x) (sqrt (+ 1 (cos x)))) 1) x)))>
* * * * [misc]progress:  [ 109 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (exp (- (log (sin x)) (log (sqrt (+ 1 (cos x)))))) x)))>
* [enter]simplify:  Simplifying (- (log (sin x)) (log (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (- (log (sin x)) (log (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (- (log (sin x)) (log (sqrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 110 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (exp (log (/ (sin x) (sqrt (+ 1 (cos x)))))) x)))>
* [enter]simplify:  Simplifying (log (/ (sin x) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (log (/ (sin x) (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (log (/ (sin x) (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 111 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (log (exp (/ (sin x) (sqrt (+ 1 (cos x)))))) x)))>
* [enter]simplify:  Simplifying (exp (/ (sin x) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (exp (/ (sin x) (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (exp (/ (sin x) (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 112 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (cbrt (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sqrt (+ 1 (cos x))) (sqrt (+ 1 (cos x)))) (sqrt (+ 1 (cos x)))))) x)))>
* [enter]simplify:  Simplifying (/ (* (* (sin x) (sin x)) (sin x)) (* (* (sqrt (+ 1 (cos x))) (sqrt (+ 1 (cos x)))) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow (sin x) 3) (+ 1 (cos x))) (sqrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (/ (/ (pow (sin x) 3) (+ 1 (cos x))) (sqrt (+ 1 (cos x))))
* * * * [misc]progress:  [ 113 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (* (cbrt (/ (sin x) (sqrt (+ 1 (cos x))))) (cbrt (/ (sin x) (sqrt (+ 1 (cos x)))))) (cbrt (/ (sin x) (sqrt (+ 1 (cos x)))))) x)))>
* [enter]simplify:  Simplifying (* (cbrt (/ (sin x) (sqrt (+ 1 (cos x))))) (cbrt (/ (sin x) (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (sin x) (sqrt (+ (cos x) 1)))) (cbrt (/ (sin x) (sqrt (+ (cos x) 1)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (sin x) (sqrt (+ (cos x) 1)))) (cbrt (/ (sin x) (sqrt (+ (cos x) 1)))))
* [enter]simplify:  Simplifying (cbrt (/ (sin x) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (sin x) (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (cbrt (/ (sin x) (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 114 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (cbrt (* (* (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x))))) (/ (sin x) (sqrt (+ 1 (cos x)))))) x)))>
* [enter]simplify:  Simplifying (* (* (/ (sin x) (sqrt (+ 1 (cos x)))) (/ (sin x) (sqrt (+ 1 (cos x))))) (/ (sin x) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow (sin x) 3) (+ (cos x) 1)) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (/ (pow (sin x) 3) (+ (cos x) 1)) (sqrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 115 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (sqrt (/ (sin x) (sqrt (+ 1 (cos x))))) (sqrt (/ (sin x) (sqrt (+ 1 (cos x)))))) x)))>
* [enter]simplify:  Simplifying (sqrt (/ (sin x) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sin x) (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (sqrt (/ (sin x) (sqrt (+ (cos x) 1))))
* [enter]simplify:  Simplifying (sqrt (/ (sin x) (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sin x) (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (sqrt (/ (sin x) (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 116 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (- (sin x)) (- (sqrt (+ 1 (cos x))))) x)))>
* [enter]simplify:  Simplifying (- (sin x))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (sin x))
* [exit]simplify:  Simplified to (- (sin x))
* [enter]simplify:  Simplifying (- (sqrt (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (- (sqrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (- (sqrt (+ 1 (cos x))))
* * * * [misc]progress:  [ 117 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sqrt (+ 1 (cos x)))) (cbrt (sqrt (+ 1 (cos x)))))) (/ (cbrt (sin x)) (cbrt (sqrt (+ 1 (cos x)))))) x)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sqrt (+ 1 (cos x)))) (cbrt (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sin x)) (cbrt (sqrt (+ 1 (cos x))))) (/ (cbrt (sin x)) (cbrt (sqrt (+ 1 (cos x))))))
* [exit]simplify:  Simplified to (* (/ (cbrt (sin x)) (cbrt (sqrt (+ 1 (cos x))))) (/ (cbrt (sin x)) (cbrt (sqrt (+ 1 (cos x))))))
* [enter]simplify:  Simplifying (/ (cbrt (sin x)) (cbrt (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sin x)) (cbrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (/ (cbrt (sin x)) (cbrt (sqrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 118 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))) (/ (cbrt (sin x)) (sqrt (cbrt (+ 1 (cos x)))))) x)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sin x)) (cbrt (sin x))) (fabs (cbrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (sin x)) (cbrt (sin x))) (fabs (cbrt (+ 1 (cos x)))))
* [enter]simplify:  Simplifying (/ (cbrt (sin x)) (sqrt (cbrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sin x)) (sqrt (cbrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (/ (cbrt (sin x)) (sqrt (cbrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 119 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sqrt (+ 1 (cos x))))) (/ (cbrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))) x)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sqrt (+ 1 (cos x)))))
* [enter]simplify:  Simplifying (/ (cbrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (/ (cbrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 120 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt 1)) (/ (cbrt (sin x)) (sqrt (+ 1 (cos x))))) x)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (7 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 (sin x)) (sqrt 1)) (cbrt (sin x)))
* [exit]simplify:  Simplified to (* (/ (cbrt (sin x)) (sqrt 1)) (cbrt (sin x)))
* [enter]simplify:  Simplifying (/ (cbrt (sin x)) (sqrt (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sin x)) (sqrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (/ (cbrt (sin x)) (sqrt (+ 1 (cos x))))
* * * * [misc]progress:  [ 121 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sqrt (+ 1 (cos x))))) (/ (cbrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))) x)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sqrt (+ 1 (cos x)))))
* [enter]simplify:  Simplifying (/ (cbrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (/ (cbrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 122 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (sqrt (+ 1 (cos x))))) x)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sin x)) (/ (cbrt (sin x)) 1))
* [exit]simplify:  Simplified to (* (cbrt (sin x)) (/ (cbrt (sin x)) 1))
* [enter]simplify:  Simplifying (/ (cbrt (sin x)) (sqrt (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sin x)) (sqrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (/ (cbrt (sin x)) (sqrt (+ 1 (cos x))))
* * * * [misc]progress:  [ 123 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (/ (sqrt (sin x)) (* (cbrt (sqrt (+ 1 (cos x)))) (cbrt (sqrt (+ 1 (cos x)))))) (/ (sqrt (sin x)) (cbrt (sqrt (+ 1 (cos x)))))) x)))>
* [enter]simplify:  Simplifying (/ (sqrt (sin x)) (* (cbrt (sqrt (+ 1 (cos x)))) (cbrt (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sin x)) (cbrt (sqrt (+ 1 (cos x))))) (cbrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (sin x)) (cbrt (sqrt (+ 1 (cos x))))) (cbrt (sqrt (+ 1 (cos x)))))
* [enter]simplify:  Simplifying (/ (sqrt (sin x)) (cbrt (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (cbrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (cbrt (sqrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 124 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (/ (sqrt (sin x)) (sqrt (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))) (/ (sqrt (sin x)) (sqrt (cbrt (+ 1 (cos x)))))) x)))>
* [enter]simplify:  Simplifying (/ (sqrt (sin x)) (sqrt (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (fabs (cbrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (fabs (cbrt (+ 1 (cos x)))))
* [enter]simplify:  Simplifying (/ (sqrt (sin x)) (sqrt (cbrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (sqrt (cbrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (sqrt (cbrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 125 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x))))) (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))) x)))>
* [enter]simplify:  Simplifying (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))
* [enter]simplify:  Simplifying (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 126 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (/ (sqrt (sin x)) (sqrt 1)) (/ (sqrt (sin x)) (sqrt (+ 1 (cos x))))) x)))>
* [enter]simplify:  Simplifying (/ (sqrt (sin x)) (sqrt 1))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (sqrt 1))
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (sqrt 1))
* [enter]simplify:  Simplifying (/ (sqrt (sin x)) (sqrt (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (sqrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (sqrt (+ 1 (cos x))))
* * * * [misc]progress:  [ 127 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x))))) (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))) x)))>
* [enter]simplify:  Simplifying (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))
* [enter]simplify:  Simplifying (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x)))))
* * * * [misc]progress:  [ 128 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (sqrt (+ 1 (cos x))))) x)))>
* [enter]simplify:  Simplifying (/ (sqrt (sin x)) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) 1)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) 1)
* [enter]simplify:  Simplifying (/ (sqrt (sin x)) (sqrt (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (sqrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (sqrt (+ 1 (cos x))))
* * * * [misc]progress:  [ 129 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (/ 1 (* (cbrt (sqrt (+ 1 (cos x)))) (cbrt (sqrt (+ 1 (cos x)))))) (/ (sin x) (cbrt (sqrt (+ 1 (cos x)))))) x)))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (+ 1 (cos x)))) (cbrt (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ 1 (cos x))))) (cbrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ 1 (cos x))))) (cbrt (sqrt (+ 1 (cos x)))))
* [enter]simplify:  Simplifying (/ (sin x) (cbrt (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (cbrt (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (/ (sin x) (cbrt (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 130 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (/ 1 (sqrt (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))) (/ (sin x) (sqrt (cbrt (+ 1 (cos x)))))) x)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ 1 (cos x)))))
* [enter]simplify:  Simplifying (/ (sin x) (sqrt (cbrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (cbrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (cbrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 131 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (/ 1 (sqrt (sqrt (+ 1 (cos x))))) (/ (sin x) (sqrt (sqrt (+ 1 (cos x)))))) x)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ 1 (cos x)))))
* [enter]simplify:  Simplifying (/ (sin x) (sqrt (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 132 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (/ 1 (sqrt 1)) (/ (sin x) (sqrt (+ 1 (cos x))))) x)))>
* [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))
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [enter]simplify:  Simplifying (/ (sin x) (sqrt (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 133 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (/ 1 (sqrt (sqrt (+ 1 (cos x))))) (/ (sin x) (sqrt (sqrt (+ 1 (cos x)))))) x)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ 1 (cos x)))))
* [enter]simplify:  Simplifying (/ (sin x) (sqrt (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 134 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (/ 1 1) (/ (sin x) (sqrt (+ 1 (cos x))))) x)))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (sin x) (sqrt (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (+ (cos x) 1)))
* * * * [misc]progress:  [ 135 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* 1 (/ (sin x) (sqrt (+ 1 (cos x))))) x)))>
* * * * [misc]progress:  [ 136 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (sin x) (/ 1 (sqrt (+ 1 (cos x))))) x)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ 1 (cos x))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ 1 (cos x))))
* * * * [misc]progress:  [ 137 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ 1 (/ (sqrt (+ 1 (cos x))) (sin x))) x)))>
* [enter]simplify:  Simplifying (/ (sqrt (+ 1 (cos x))) (sin x))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 (cos x))) (sin x))
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 (cos x))) (sin x))
* * * * [misc]progress:  [ 138 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (/ (sin x) (* (cbrt (sqrt (+ 1 (cos x)))) (cbrt (sqrt (+ 1 (cos x)))))) (cbrt (sqrt (+ 1 (cos x))))) x)))>
* [enter]simplify:  Simplifying (/ (sin x) (* (cbrt (sqrt (+ 1 (cos x)))) (cbrt (sqrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (* (cbrt (sqrt (+ (cos x) 1))) (cbrt (sqrt (+ (cos x) 1)))))
* [exit]simplify:  Simplified to (/ (sin x) (* (cbrt (sqrt (+ (cos x) 1))) (cbrt (sqrt (+ (cos x) 1)))))
* * * * [misc]progress:  [ 139 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (/ (sin x) (sqrt (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))) (sqrt (cbrt (+ 1 (cos x))))) x)))>
* [enter]simplify:  Simplifying (/ (sin x) (sqrt (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (fabs (cbrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (/ (sin x) (fabs (cbrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 140 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (/ (sin x) (sqrt (sqrt (+ 1 (cos x))))) (sqrt (sqrt (+ 1 (cos x))))) x)))>
* [enter]simplify:  Simplifying (/ (sin x) (sqrt (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 141 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (/ (sin x) (sqrt 1)) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ (sin x) (sqrt 1))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (sqrt 1))
* [exit]simplify:  Simplified to (/ (sin x) (sqrt 1))
* * * * [misc]progress:  [ 142 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (/ (sin x) (sqrt (sqrt (+ 1 (cos x))))) (sqrt (sqrt (+ 1 (cos x))))) x)))>
* [enter]simplify:  Simplifying (/ (sin x) (sqrt (sqrt (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (sqrt (+ (cos x) 1))))
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (sqrt (+ (cos x) 1))))
* * * * [misc]progress:  [ 143 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (/ (sin x) 1) (sqrt (+ 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ (sin x) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ (sin x) 1)
* [exit]simplify:  Simplified to (/ (sin x) 1)
* * * * [misc]progress:  [ 144 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ (sqrt (+ 1 (cos x))) (cbrt (sin x)))) x)))>
* [enter]simplify:  Simplifying (/ (sqrt (+ 1 (cos x))) (cbrt (sin x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 (cos x))) (cbrt (sin x)))
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 (cos x))) (cbrt (sin x)))
* * * * [misc]progress:  [ 145 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sqrt (sin x)) (/ (sqrt (+ 1 (cos x))) (sqrt (sin x)))) x)))>
* [enter]simplify:  Simplifying (/ (sqrt (+ 1 (cos x))) (sqrt (sin x)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 (cos x))) (sqrt (sin x)))
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 (cos x))) (sqrt (sin x)))
* * * * [misc]progress:  [ 146 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ 1 (/ (sqrt (+ 1 (cos x))) (sin x))) x)))>
* [enter]simplify:  Simplifying (/ (sqrt (+ 1 (cos x))) (sin x))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 (cos x))) (sin x))
* [exit]simplify:  Simplified to (/ (sqrt (+ 1 (cos x))) (sin x))
* * * * [misc]progress:  [ 147 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (/ (sin x) (sqrt (+ (pow 1 3) (pow (cos x) 3)))) (sqrt (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))) x)))>
* [enter]simplify:  Simplifying (/ (sin x) (sqrt (+ (pow 1 3) (pow (cos x) 3))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (+ 1 (pow (cos x) 3))))
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (+ 1 (pow (cos x) 3))))
* * * * [misc]progress:  [ 148 / 148 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (* (/ (sin x) (sqrt (- (* 1 1) (* (cos x) (cos x))))) (sqrt (- 1 (cos x)))) x)))>
* [enter]simplify:  Simplifying (/ (sin x) (sqrt (- (* 1 1) (* (cos x) (cos x)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (fabs (sin x)))
* [exit]simplify:  Simplified to (/ (sin x) (fabs (sin x)))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))> #<alt-delta (λ (x) (* (/ (/ (* (sin x) (sin x)) x) (+ 1 (pow (cos x) 3))) (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) x)))> #<alt-delta (λ (x) (cbrt (* (* (/ (* (sin x) (sin x)) (* (pow x 3) (pow x 3))) (/ (sin x) (+ 1 (cos x)))) (* (/ (sin x) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))))))> #<alt-delta (λ (x) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))))> #<alt-delta (λ (x) (/ (log (exp (- 1 (cos x)))) (* x x)))> #<alt-event (λ (x) (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))))> #<alt-delta (λ (x) (- (/ 1 (* x x)) (/ (cos x) (* x x))))> #<alt-delta (λ (x) (* (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))))> #<alt-delta (λ (x) (/ (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (+ 1 (cos x))) (* x x)))> #<alt-delta (λ (x) (/ (/ (* (* (sin x) (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (sin x))) (+ 1 (cos x))) (* x x)))> #<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 x +inf.0)) , with alts (#<alt-delta (λ (x) (* (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)))>)
* [enter]simplify:  Simplifying (sin x)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sin x)
* [exit]simplify:  Simplified to (sin x)
* [enter]simplify:  Simplifying (sin x)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sin x)
* [exit]simplify:  Simplified to (sin x)
* [enter]simplify:  Simplifying (+ (- 1 (cos x)) (* (cos x) (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (+ (- 1 (cos x)) (* (cos x) (cos x)))
* [exit]simplify:  Simplified to (+ (- 1 (cos x)) (* (cos x) (cos x)))
* [enter]simplify:  Simplifying (* (/ (* (sin x) (sin x)) (* (pow x 3) (pow x 3))) (/ (sin x) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (332 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) (+ (cos x) 1)) (* (/ (sin x) (pow x 3)) (/ (sin x) (pow x 3))))
* [exit]simplify:  Simplified to (* (/ (sin x) (+ (cos x) 1)) (* (/ (sin x) (pow x 3)) (/ (sin x) (pow x 3))))
* [enter]simplify:  Simplifying (* (/ (sin x) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (89 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (/ (+ (cos x) 1) (sin x)))
* [exit]simplify:  Simplified to (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (/ (+ (cos x) 1) (sin x)))
* [enter]simplify:  Simplifying (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))
* [enter]simplify:  Simplifying (exp (- 1 (cos x)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (exp (- 1 (cos x)))
* [exit]simplify:  Simplified to (exp (- 1 (cos x)))
* [enter]simplify:  Simplifying (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (+ 1/2 (- (* 1/720 (pow x 4)) (* (* x x) 1/24)))
* [enter]simplify:  Simplifying (/ 1 (* x x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 x) x)
* [exit]simplify:  Simplified to (/ (/ 1 x) x)
* [enter]simplify:  Simplifying (/ (cos x) (* x x))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (/ (cos x) (* x x))
* [exit]simplify:  Simplified to (/ (cos x) (* x x))
* [enter]simplify:  Simplifying (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (91 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x))))) (cbrt (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x))))))
* [exit]simplify:  Simplified to (* (cbrt (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x))))) (cbrt (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x))))))
* [enter]simplify:  Simplifying (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* * [misc]simplify:  iters left: 1 (146 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x)))
* [exit]simplify:  Simplified to (cbrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x)))
* [enter]simplify:  Simplifying (* 1/2 (cos (* 2 x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (* 1/2 (cos (+ x x)))
* [exit]simplify:  Simplified to (* 1/2 (cos (+ x x)))
* [enter]simplify:  Simplifying (* (sin x) (* (cbrt (sin x)) (cbrt (sin x))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sin x)) (* (cbrt (sin x)) (sin x)))
* [exit]simplify:  Simplified to (* (cbrt (sin x)) (* (cbrt (sin x)) (sin x)))
* [enter]simplify:  Simplifying (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))
* [enter]simplify:  Simplifying (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))
* [exit]simplify:  Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1)))