* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
* * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Setting MPFR precision to 1600
* * * * [misc]points:  Setting MPFR precision to 1856
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 256 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) (* x x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) (* x x))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-event (λ (x) (/ (- 1 (cos x)) (* x x)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 2 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 2 ] rewriting at (2)
* * * [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 (/ 1 x)))) into (- 1 (cos 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 (/ 1 (- x))))) into (- 1 (cos 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 (- (+ (* 1/720 (pow x 4)) 1/2) (* 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 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1 (cos 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 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos x)) (pow x 2))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 39 ] simplifiying candidate #<alt-delta (λ (x) (/ (pow (- 1 (cos x)) 1) (* x x)))>
* * * * [misc]progress:  [ 2 / 39 ] 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 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (log (- 1 (cos x)))
* [exit]simplify:  Simplified to (log (- 1 (cos x)))
* * * * [misc]progress:  [ 3 / 39 ] 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 (12 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (/ E (exp (cos x)))
* [exit]simplify:  Simplified to (/ E (exp (cos x)))
* * * * [misc]progress:  [ 4 / 39 ] 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 (10 enodes)
* * [misc]simplify:  iters left: 4 (11 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 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (- 1 (cos x)))
* [exit]simplify:  Simplified to (cbrt (- 1 (cos x)))
* * * * [misc]progress:  [ 5 / 39 ] 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 (11 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* [exit]simplify:  Simplified to (pow (- 1 (cos x)) 3)
* [exit]simplify:  Simplified to (pow (- 1 (cos x)) 3)
* * * * [misc]progress:  [ 6 / 39 ] 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 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 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 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (cos x)))
* [exit]simplify:  Simplified to (sqrt (- 1 (cos x)))
* * * * [misc]progress:  [ 7 / 39 ] 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 (16 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (25 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 (18 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* [exit]simplify:  Simplified to (+ (+ (cos x) 1) (* (cos x) (cos x)))
* [exit]simplify:  Simplified to (+ (+ (cos x) 1) (* (cos x) (cos x)))
* * * * [misc]progress:  [ 8 / 39 ] 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:  [ 9 / 39 ] simplifiying candidate #<alt-delta (λ (x) (/ (* 1 (- 1 (cos x))) (* x x)))>
* * * * [misc]progress:  [ 10 / 39 ] 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 (10 enodes)
* * [misc]simplify:  iters left: 3 (16 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:  [ 11 / 39 ] 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:  [ 12 / 39 ] simplifiying candidate #<alt-delta (λ (x) (pow (/ (- 1 (cos x)) (* x x)) 1))>
* * * * [misc]progress:  [ 13 / 39 ] 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 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (- (log (- 1 (cos x))) (+ (log x) (log x)))
* [exit]simplify:  Simplified to (- (log (- 1 (cos x))) (+ (log x) (log x)))
* * * * [misc]progress:  [ 14 / 39 ] 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 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (log (/ (- 1 (cos x)) (* x x)))
* [exit]simplify:  Simplified to (log (/ (- 1 (cos x)) (* x x)))
* * * * [misc]progress:  [ 15 / 39 ] 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 (16 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (exp (/ (- 1 (cos x)) (* x x)))
* [exit]simplify:  Simplified to (exp (/ (- 1 (cos x)) (* x x)))
* * * * [misc]progress:  [ 16 / 39 ] 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 (29 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (385 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:  [ 17 / 39 ] 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 (17 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (32 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 (16 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (- 1 (cos x)) (* x x)))
* [exit]simplify:  Simplified to (cbrt (/ (- 1 (cos x)) (* x x)))
* * * * [misc]progress:  [ 18 / 39 ] 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 (24 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (322 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:  [ 19 / 39 ] 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 (16 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (31 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 (16 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (- 1 (cos x)) (* x x)))
* [exit]simplify:  Simplified to (sqrt (/ (- 1 (cos x)) (* x x)))
* * * * [misc]progress:  [ 20 / 39 ] 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 (9 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (- (cos x) 1)
* [exit]simplify:  Simplified to (- (cos x) 1)
* [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:  [ 21 / 39 ] 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:  [ 22 / 39 ] 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 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- 1 (cos x))) (/ (cbrt (- 1 (cos x))) x))
* [exit]simplify:  Simplified to (* (cbrt (- 1 (cos x))) (/ (cbrt (- 1 (cos x))) x))
* [enter]simplify:  Simplifying (/ (cbrt (- 1 (cos x))) x)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (cos x))) x)
* [exit]simplify:  Simplified to (/ (cbrt (- 1 (cos x))) x)
* * * * [misc]progress:  [ 23 / 39 ] 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 (10 enodes)
* * [misc]simplify:  iters left: 4 (11 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 (10 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 (cos x))) x)
* [exit]simplify:  Simplified to (/ (sqrt (- 1 (cos x))) x)
* * * * [misc]progress:  [ 24 / 39 ] 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 (12 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) x)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) x)
* * * * [misc]progress:  [ 25 / 39 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (/ (- 1 (cos x)) (* x x))))>
* * * * [misc]progress:  [ 26 / 39 ] 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:  [ 27 / 39 ] 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 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (- 1 (cos x)))
* [exit]simplify:  Simplified to (/ (* x x) (- 1 (cos x)))
* * * * [misc]progress:  [ 28 / 39 ] 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 (12 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) x)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) x)
* * * * [misc]progress:  [ 29 / 39 ] 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 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (cbrt (- 1 (cos x))))
* [exit]simplify:  Simplified to (/ (* x x) (cbrt (- 1 (cos x))))
* * * * [misc]progress:  [ 30 / 39 ] 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 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (- 1 (cos x))))
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (- 1 (cos x))))
* * * * [misc]progress:  [ 31 / 39 ] 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 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (- 1 (cos x)))
* [exit]simplify:  Simplified to (/ (* x x) (- 1 (cos x)))
* * * * [misc]progress:  [ 32 / 39 ] 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 (29 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (246 enodes)
* * [misc]simplify:  iters left: 2 (338 enodes)
* * [misc]simplify:  iters left: 1 (356 enodes)
* [exit]simplify:  Simplified to (+ (* x x) (* (* (* x x) (cos x)) (+ 1 (cos x))))
* [exit]simplify:  Simplified to (+ (* x x) (* (* (* x x) (cos x)) (+ 1 (cos x))))
* * * * [misc]progress:  [ 33 / 39 ] 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 (18 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (98 enodes)
* [exit]simplify:  Simplified to (+ (* (* x x) (cos x)) (* x x))
* [exit]simplify:  Simplified to (+ (* (* x x) (cos x)) (* x x))
* * * * [misc]progress:  [ 34 / 39 ] 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 (30 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (106 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (210 enodes)
* [exit]simplify:  Simplified to (/ (- (* (* x x) 1/2) (- (* (pow x 4) 1/24) (* (pow x 6) 1/720))) (* x x))
* * * * [misc]progress:  [ 35 / 39 ] simplifiying candidate #<alt-event (λ (x) (/ (- 1 (cos x)) (* x x)))>
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) (* x x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) (* x x))
* * * * [misc]progress:  [ 36 / 39 ] simplifiying candidate #<alt-event (λ (x) (/ (- 1 (cos x)) (* x x)))>
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) (* x x))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) (* x x))
* * * * [misc]progress:  [ 37 / 39 ] simplifiying candidate #<alt-event (λ (x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))>
* [enter]simplify:  Simplifying (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (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 (57 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (- (* (pow x 4) 1/720) (- (* (* x 1/24) x) 1/2))
* * * * [misc]progress:  [ 38 / 39 ] simplifiying candidate #<alt-event (λ (x) (/ (- 1 (cos x)) (pow x 2)))>
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) (pow x 2))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) (* x x))
* * * * [misc]progress:  [ 39 / 39 ] simplifiying candidate #<alt-event (λ (x) (/ (- 1 (cos x)) (pow x 2)))>
* [enter]simplify:  Simplifying (/ (- 1 (cos x)) (pow x 2))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) (* x x))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [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 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:  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 (- (+ (* 1/720 (pow x 4)) 1/2) (* 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 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) (pow (/ 1 x) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1)))
* [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 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) (pow (/ 1 (- x)) 2)) into (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1)))
* * * * [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 (- (+ (* 1/24 (pow x 4)) 2) (* 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 (/ 1 x))) 1) into (+ (cos 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 (/ 1 (- x)))) 1) into (+ (cos 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 (/ 1 x))) 2) into (pow (sin 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 (/ 1 (- x)))) 2) into (pow (sin 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 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ (cos 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 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ (cos x) 1))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 106 ] simplifiying candidate #<alt-delta (λ (x) (pow (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) 1))>
* * * * [misc]progress:  [ 2 / 106 ] 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 (25 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (241 enodes)
* [exit]simplify:  Simplified to (- (- (log (sin x)) (log x)) (- (log (+ (cos x) 1)) (- (log (sin x)) (log x))))
* [exit]simplify:  Simplified to (- (- (log (sin x)) (log x)) (- (log (+ (cos x) 1)) (- (log (sin x)) (log x))))
* * * * [misc]progress:  [ 3 / 106 ] 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 (25 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (106 enodes)
* * [misc]simplify:  iters left: 2 (218 enodes)
* * [misc]simplify:  iters left: 1 (463 enodes)
* [exit]simplify:  Simplified to (+ (- (- (log (sin x)) (log x)) (log (+ (cos x) 1))) (- (log (sin x)) (log x)))
* [exit]simplify:  Simplified to (+ (- (- (log (sin x)) (log x)) (log (+ (cos x) 1))) (- (log (sin x)) (log x)))
* * * * [misc]progress:  [ 4 / 106 ] 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 (23 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (420 enodes)
* [exit]simplify:  Simplified to (- (log (tan (/ x 2))) (- (+ (log x) (log x)) (log (sin x))))
* [exit]simplify:  Simplified to (- (log (tan (/ x 2))) (- (+ (log x) (log x)) (log (sin x))))
* * * * [misc]progress:  [ 5 / 106 ] 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 (22 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (350 enodes)
* [exit]simplify:  Simplified to (log (* (/ (sin x) (* x x)) (tan (/ x 2))))
* [exit]simplify:  Simplified to (log (* (/ (sin x) (* x x)) (tan (/ x 2))))
* * * * [misc]progress:  [ 6 / 106 ] 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 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (208 enodes)
* [exit]simplify:  Simplified to (exp (* (/ (sin x) (* x x)) (tan (/ x 2))))
* [exit]simplify:  Simplified to (exp (* (/ (sin x) (* x x)) (tan (/ x 2))))
* * * * [misc]progress:  [ 7 / 106 ] 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 (54 enodes)
* * [misc]simplify:  iters left: 4 (213 enodes)
* [exit]simplify:  Simplified to (* (/ (* (tan (/ x 2)) (* (sin x) (sin x))) (* (* (* x x) (* x x)) (+ 1 (cos x)))) (/ (* (tan (/ x 2)) (* (sin x) (sin x))) (* x x)))
* [exit]simplify:  Simplified to (* (/ (* (tan (/ x 2)) (* (sin x) (sin x))) (* (* (* x x) (* x x)) (+ 1 (cos x)))) (/ (* (tan (/ x 2)) (* (sin x) (sin x))) (* x x)))
* * * * [misc]progress:  [ 8 / 106 ] 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 (56 enodes)
* * [misc]simplify:  iters left: 4 (211 enodes)
* [exit]simplify:  Simplified to (/ (* (* (tan (/ x 2)) (sin x)) (* (tan (/ x 2)) (sin x))) (/ (* (pow x 3) (pow x 3)) (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (/ (* (* (tan (/ x 2)) (sin x)) (* (tan (/ x 2)) (sin x))) (/ (* (pow x 3) (pow x 3)) (* (tan (/ x 2)) (sin x))))
* * * * [misc]progress:  [ 9 / 106 ] 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 (39 enodes)
* * [misc]simplify:  iters left: 4 (144 enodes)
* [exit]simplify:  Simplified to (pow (/ (tan (/ x 2)) (/ (* x x) (sin x))) 3)
* [exit]simplify:  Simplified to (pow (/ (tan (/ x 2)) (/ (* x x) (sin x))) 3)
* * * * [misc]progress:  [ 10 / 106 ] 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 (20 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (206 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))))
* [exit]simplify:  Simplified to (* (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))))
* [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 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (203 enodes)
* [exit]simplify:  Simplified to (cbrt (* (tan (/ x 2)) (/ (sin x) (* x x))))
* [exit]simplify:  Simplified to (cbrt (* (tan (/ x 2)) (/ (sin x) (* x x))))
* * * * [misc]progress:  [ 11 / 106 ] 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 (27 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* [exit]simplify:  Simplified to (pow (* (/ (sin x) (* x x)) (tan (/ x 2))) 3)
* [exit]simplify:  Simplified to (pow (* (/ (sin x) (* x x)) (tan (/ x 2))) 3)
* * * * [misc]progress:  [ 12 / 106 ] 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 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (203 enodes)
* [exit]simplify:  Simplified to (sqrt (* (tan (/ x 2)) (/ (sin x) (* x x))))
* [exit]simplify:  Simplified to (sqrt (* (tan (/ x 2)) (/ (sin 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 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (203 enodes)
* [exit]simplify:  Simplified to (sqrt (* (tan (/ x 2)) (/ (sin x) (* x x))))
* [exit]simplify:  Simplified to (sqrt (* (tan (/ x 2)) (/ (sin x) (* x x))))
* * * * [misc]progress:  [ 13 / 106 ] 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 (30 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (36 enodes)
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (- (sin x)))
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (- (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:  [ 14 / 106 ] 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 (15 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (/ (/ 1/2 (* x x)) (+ (cos x) 1))
* [exit]simplify:  Simplified to (/ (/ 1/2 (* x x)) (+ (cos x) 1))
* [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 (23 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (/ (* (cos (* x 2)) (/ 1/2 x)) (+ x (* x (cos x))))
* [exit]simplify:  Simplified to (/ (* (cos (* x 2)) (/ 1/2 x)) (+ x (* x (cos x))))
* * * * [misc]progress:  [ 15 / 106 ] 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 (26 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (cbrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (cbrt (* (tan (/ x 2)) (sin 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 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* (sin x) (tan (/ x 2)))) x)
* [exit]simplify:  Simplified to (/ (cbrt (* (sin x) (tan (/ x 2)))) x)
* * * * [misc]progress:  [ 16 / 106 ] 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 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (sin x) (tan (/ x 2)))) x)
* [exit]simplify:  Simplified to (/ (sqrt (* (sin x) (tan (/ x 2)))) 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 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (sin x) (tan (/ x 2)))) x)
* [exit]simplify:  Simplified to (/ (sqrt (* (sin x) (tan (/ x 2)))) x)
* * * * [misc]progress:  [ 17 / 106 ] 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 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (30 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:  [ 18 / 106 ] 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:  [ 19 / 106 ] 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)
* * [misc]simplify:  iters left: 3 (11 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 (15 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) x)
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) x)
* * * * [misc]progress:  [ 20 / 106 ] 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 (15 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (67 enodes)
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) (/ x (sin x)))
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) (/ x (sin x)))
* * * * [misc]progress:  [ 21 / 106 ] 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:  [ 22 / 106 ] 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 (23 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3)))
* [exit]simplify:  Simplified to (/ (/ (sin x) (/ x (sin 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 (20 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (141 enodes)
* [exit]simplify:  Simplified to (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)
* [exit]simplify:  Simplified to (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)
* * * * [misc]progress:  [ 23 / 106 ] 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 (18 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (430 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 (12 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) x)
* [exit]simplify:  Simplified to (/ (- 1 (cos x)) x)
* * * * [misc]progress:  [ 24 / 106 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))))>
* * * * [misc]progress:  [ 25 / 106 ] 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:  [ 26 / 106 ] 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 (18 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (288 enodes)
* [exit]simplify:  Simplified to (/ (/ (* x x) (sin x)) (tan (/ x 2)))
* [exit]simplify:  Simplified to (/ (/ (* x x) (sin x)) (tan (/ x 2)))
* * * * [misc]progress:  [ 27 / 106 ] 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 (15 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (67 enodes)
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) (/ x (sin x)))
* [exit]simplify:  Simplified to (/ (tan (/ x 2)) (/ x (sin x)))
* * * * [misc]progress:  [ 28 / 106 ] 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 (26 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (cbrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (/ (* x x) (cbrt (* (tan (/ x 2)) (sin x))))
* * * * [misc]progress:  [ 29 / 106 ] 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 (26 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (* (tan (/ x 2)) (sin x))))
* [exit]simplify:  Simplified to (/ (* x x) (sqrt (* (tan (/ x 2)) (sin x))))
* * * * [misc]progress:  [ 30 / 106 ] 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 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (53 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:  [ 31 / 106 ] 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 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (53 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:  [ 32 / 106 ] 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 (18 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (148 enodes)
* * [misc]simplify:  iters left: 1 (433 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (tan (/ x 2)))
* [exit]simplify:  Simplified to (/ (* x x) (tan (/ x 2)))
* * * * [misc]progress:  [ 33 / 106 ] 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 (18 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (288 enodes)
* [exit]simplify:  Simplified to (/ (/ (* x x) (sin x)) (tan (/ x 2)))
* [exit]simplify:  Simplified to (/ (/ (* x x) (sin x)) (tan (/ x 2)))
* * * * [misc]progress:  [ 34 / 106 ] 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 (14 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (333 enodes)
* [exit]simplify:  Simplified to (+ (* x x) (* (* x x) (cos x)))
* [exit]simplify:  Simplified to (+ (* x x) (* (* x x) (cos x)))
* * * * [misc]progress:  [ 35 / 106 ] 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 (23 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (+ (- 1 (cos x)) (* (cos x) (cos x))))
* [exit]simplify:  Simplified to (/ (* x x) (+ (- 1 (cos x)) (* (cos x) (cos x))))
* * * * [misc]progress:  [ 36 / 106 ] 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 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (/ (* x x) (- 1 (cos x)))
* [exit]simplify:  Simplified to (/ (* x x) (- 1 (cos x)))
* * * * [misc]progress:  [ 37 / 106 ] 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 (18 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (98 enodes)
* [exit]simplify:  Simplified to (+ (* (* x x) (cos x)) (* x x))
* [exit]simplify:  Simplified to (+ (* (* x x) (cos x)) (* x x))
* * * * [misc]progress:  [ 38 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (pow (+ 1 (cos x)) 1)) (* x x)))>
* * * * [misc]progress:  [ 39 / 106 ] 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:  [ 40 / 106 ] 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:  [ 41 / 106 ] 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:  [ 42 / 106 ] 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 (47 enodes)
* * [misc]simplify:  iters left: 3 (106 enodes)
* * [misc]simplify:  iters left: 2 (298 enodes)
* [exit]simplify:  Simplified to (pow (+ 1 (cos x)) 3)
* [exit]simplify:  Simplified to (pow (+ 1 (cos x)) 3)
* * * * [misc]progress:  [ 43 / 106 ] 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:  [ 44 / 106 ] 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 (+ (pow (cos x) 3) 1)
* [exit]simplify:  Simplified to (+ (pow (cos x) 3) 1)
* [enter]simplify:  Simplifying (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* [exit]simplify:  Simplified to (- (* (cos x) (cos x)) (- (cos x) 1))
* [exit]simplify:  Simplified to (- (* (cos x) (cos x)) (- (cos x) 1))
* * * * [misc]progress:  [ 45 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (* 1 (+ 1 (cos x)))) (* x x)))>
* * * * [misc]progress:  [ 46 / 106 ] 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 (10 enodes)
* * [misc]simplify:  iters left: 3 (16 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 (8 enodes)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (- 1 (cos x))
* [exit]simplify:  Simplified to (- 1 (cos x))
* * * * [misc]progress:  [ 47 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)))>
* * * * [misc]progress:  [ 48 / 106 ] 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 (8 enodes)
* [exit]simplify:  Simplified to (* (cos (* x 2)) 1/2)
* [exit]simplify:  Simplified to (* (cos (* x 2)) 1/2)
* * * * [misc]progress:  [ 49 / 106 ] 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 (12 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (- 1 (cos (+ x x)))
* [exit]simplify:  Simplified to (- 1 (cos (+ x x)))
* * * * [misc]progress:  [ 50 / 106 ] 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 (4 enodes)
* [exit]simplify:  Simplified to (+ 1 1)
* [exit]simplify:  Simplified to (+ 1 1)
* * * * [misc]progress:  [ 51 / 106 ] 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:  [ 52 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
* * * * [misc]progress:  [ 53 / 106 ] 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 (4 enodes)
* [exit]simplify:  Simplified to (+ 1 1)
* [exit]simplify:  Simplified to (+ 1 1)
* * * * [misc]progress:  [ 54 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (pow (* (sin x) (sin x)) 1) (+ 1 (cos x))) (* x x)))>
* * * * [misc]progress:  [ 55 / 106 ] 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)
* [exit]simplify:  Simplified to (+ (log (sin x)) (log (sin x)))
* [exit]simplify:  Simplified to (+ (log (sin x)) (log (sin x)))
* * * * [misc]progress:  [ 56 / 106 ] 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)
* [exit]simplify:  Simplified to (log (* (sin x) (sin x)))
* [exit]simplify:  Simplified to (log (* (sin x) (sin x)))
* * * * [misc]progress:  [ 57 / 106 ] 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:  [ 58 / 106 ] 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 (10 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (33 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:  [ 59 / 106 ] 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:  [ 60 / 106 ] 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 (12 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (43 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:  [ 61 / 106 ] 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:  [ 62 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* 1 (* (sin x) (sin x))) (+ 1 (cos x))) (* x x)))>
* * * * [misc]progress:  [ 63 / 106 ] 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 (8 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:  [ 64 / 106 ] 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:  [ 65 / 106 ] 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)
* * [misc]simplify:  iters left: 1 (9 enodes)
* [exit]simplify:  Simplified to (sin x)
* [exit]simplify:  Simplified to (sin x)
* * * * [misc]progress:  [ 66 / 106 ] 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:  [ 67 / 106 ] 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:  [ 68 / 106 ] 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:  [ 69 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))>
* * * * [misc]progress:  [ 70 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (pow (/ (* (sin x) (sin x)) (+ 1 (cos x))) 1) (* x x)))>
* * * * [misc]progress:  [ 71 / 106 ] 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 (20 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (- (+ (log (sin x)) (log (sin x))) (log (+ (cos x) 1)))
* [exit]simplify:  Simplified to (- (+ (log (sin x)) (log (sin x))) (log (+ (cos x) 1)))
* * * * [misc]progress:  [ 72 / 106 ] 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 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (- (log (* (sin x) (sin x))) (log (+ (cos x) 1)))
* [exit]simplify:  Simplified to (- (log (* (sin x) (sin x))) (log (+ (cos x) 1)))
* * * * [misc]progress:  [ 73 / 106 ] 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 (22 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (44 enodes)
* [exit]simplify:  Simplified to (log (* (sin x) (tan (/ x 2))))
* [exit]simplify:  Simplified to (log (* (sin x) (tan (/ x 2))))
* * * * [misc]progress:  [ 74 / 106 ] 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 (21 enodes)
* [exit]simplify:  Simplified to (exp (* (sin x) (tan (/ x 2))))
* [exit]simplify:  Simplified to (exp (* (sin x) (tan (/ x 2))))
* * * * [misc]progress:  [ 75 / 106 ] 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 (39 enodes)
* * [misc]simplify:  iters left: 4 (122 enodes)
* [exit]simplify:  Simplified to (/ (* (pow (sin x) 3) (pow (sin x) 3)) (pow (+ (cos x) 1) 3))
* [exit]simplify:  Simplified to (/ (* (pow (sin x) 3) (pow (sin x) 3)) (pow (+ (cos x) 1) 3))
* * * * [misc]progress:  [ 76 / 106 ] 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 (41 enodes)
* * [misc]simplify:  iters left: 4 (120 enodes)
* [exit]simplify:  Simplified to (pow (* (tan (/ x 2)) (sin x)) 3)
* [exit]simplify:  Simplified to (pow (* (tan (/ x 2)) (sin x)) 3)
* * * * [misc]progress:  [ 77 / 106 ] 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 (20 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (sin x) (tan (/ x 2)))) (cbrt (* (sin x) (tan (/ x 2)))))
* [exit]simplify:  Simplified to (* (cbrt (* (sin x) (tan (/ x 2)))) (cbrt (* (sin x) (tan (/ x 2)))))
* [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 (19 enodes)
* [exit]simplify:  Simplified to (cbrt (* (sin x) (tan (/ x 2))))
* [exit]simplify:  Simplified to (cbrt (* (sin x) (tan (/ x 2))))
* * * * [misc]progress:  [ 78 / 106 ] 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 (21 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (148 enodes)
* * [misc]simplify:  iters left: 2 (407 enodes)
* [exit]simplify:  Simplified to (pow (* (tan (/ x 2)) (sin x)) 3)
* [exit]simplify:  Simplified to (pow (* (tan (/ x 2)) (sin x)) 3)
* * * * [misc]progress:  [ 79 / 106 ] 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 (19 enodes)
* [exit]simplify:  Simplified to (sqrt (* (sin x) (tan (/ x 2))))
* [exit]simplify:  Simplified to (sqrt (* (sin x) (tan (/ x 2))))
* [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 (19 enodes)
* [exit]simplify:  Simplified to (sqrt (* (sin x) (tan (/ x 2))))
* [exit]simplify:  Simplified to (sqrt (* (sin x) (tan (/ x 2))))
* * * * [misc]progress:  [ 80 / 106 ] 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 (13 enodes)
* * [misc]simplify:  iters left: 2 (14 enodes)
* [exit]simplify:  Simplified to (- (- 1) (cos x))
* [exit]simplify:  Simplified to (- (- 1) (cos x))
* * * * [misc]progress:  [ 81 / 106 ] 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 (+ 1 (cos x)))
* [exit]simplify:  Simplified to (/ 1/2 (+ 1 (cos x)))
* [enter]simplify:  Simplifying (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (/ (cos (* x 2)) (/ (+ (cos x) 1) 1/2))
* [exit]simplify:  Simplified to (/ (cos (* x 2)) (/ (+ (cos x) 1) 1/2))
* * * * [misc]progress:  [ 82 / 106 ] 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:  [ 83 / 106 ] 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:  [ 84 / 106 ] 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)
* * [misc]simplify:  iters left: 1 (8 enodes)
* [exit]simplify:  Simplified to (sin x)
* [exit]simplify:  Simplified to (sin x)
* [enter]simplify:  Simplifying (/ (sin x) (+ 1 (cos x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (tan (/ x 2))
* [exit]simplify:  Simplified to (tan (/ x 2))
* * * * [misc]progress:  [ 85 / 106 ] simplifiying candidate #<alt-delta (λ (x) (/ (* 1 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* x x)))>
* * * * [misc]progress:  [ 86 / 106 ] 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:  [ 87 / 106 ] 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:  [ 88 / 106 ] 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 (27 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:  [ 89 / 106 ] 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:  [ 90 / 106 ] 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 (15 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* * * * [misc]progress:  [ 91 / 106 ] 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:  [ 92 / 106 ] 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:  [ 93 / 106 ] 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 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* * * * [misc]progress:  [ 94 / 106 ] 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 (18 enodes)
* [exit]simplify:  Simplified to (+ 2 (* 2 (cos x)))
* [exit]simplify:  Simplified to (+ 2 (* 2 (cos x)))
* * * * [misc]progress:  [ 95 / 106 ] simplifiying candidate #<alt-event (λ (x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))>
* [enter]simplify:  Simplifying (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (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 (57 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (- (* (pow x 4) 1/720) (- (* (* x 1/24) x) 1/2))
* * * * [misc]progress:  [ 96 / 106 ] simplifiying candidate #<alt-event (λ (x) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))))>
* [enter]simplify:  Simplifying (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (303 enodes)
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 97 / 106 ] simplifiying candidate #<alt-event (λ (x) (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1))))>
* [enter]simplify:  Simplifying (/ (pow (sin x) 2) (* (pow x 2) (+ (cos x) 1)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (303 enodes)
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 98 / 106 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (* (sin x) (sin x)) (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2)))) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (* (sin x) (sin x)) (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (pow x 2)))) (* x x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* * [misc]simplify:  iters left: 2 (412 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (- (* 1/24 (pow x 4)) (* (* 1/2 x) x)) 2))
* * * * [misc]progress:  [ 99 / 106 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (208 enodes)
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 100 / 106 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (208 enodes)
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 101 / 106 ] 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 (36 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (357 enodes)
* [exit]simplify:  Simplified to (/ (+ (- (* x x) (* 1/3 (pow x 4))) (* 2/45 (pow x 6))) (+ (* x x) (* (cos x) (* x x))))
* * * * [misc]progress:  [ 102 / 106 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 103 / 106 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* [exit]simplify:  Simplified to (* (tan (/ x 2)) (/ (sin x) (* x x)))
* * * * [misc]progress:  [ 104 / 106 ] 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 (30 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (106 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (210 enodes)
* [exit]simplify:  Simplified to (/ (- (* (* x x) 1/2) (- (* (pow x 4) 1/24) (* (pow x 6) 1/720))) (* x x))
* * * * [misc]progress:  [ 105 / 106 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) (* x x)) (tan (/ x 2)))
* * * * [misc]progress:  [ 106 / 106 ] simplifiying candidate #<alt-event (λ (x) (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x)))>
* [enter]simplify:  Simplifying (/ (/ (pow (sin x) 2) (+ (cos x) 1)) (* x x))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) (* x x)) (tan (/ x 2)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1 2)
* [misc]approximate:  Taking taylor expansion of (- (cos x) 1) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- (cos x) 1) in x
* [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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (cos x) 1) in x
* [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 in x
* [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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- 1/2) 0) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1/24 0) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- 1/720) 0) 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 (- (* 1/24 (pow x 4)) (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))))
* [misc]approximate:  Taking taylor expansion of (- (cos (/ 1 x)) 1) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- (cos (/ 1 x)) 1) in x
* [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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (cos (/ 1 x)) 1) in x
* [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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 x)) -1) into (- (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (- (cos (/ 1 x)) 1) into (- (cos (/ 1 x)) 1)
* [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 (- (cos (/ 1 (/ 1 x))) 1) into (- (cos x) 1)
* [misc]approximate:  Taking taylor expansion of (- (cos (/ 1 (- x))) 1) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (- (cos (/ 1 (- x))) 1) in x
* [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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (cos (/ 1 (- x))) 1) in x
* [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 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 x)) -1) into (- (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (- (cos (/ -1 x)) 1) into (- (cos (/ -1 x)) 1)
* [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 (- (cos (/ -1 (/ 1 (- x)))) 1) into (- (cos x) 1)
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (sin x) (/ x (sin x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sin x) (/ 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 (/ x (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 (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (sin x) (/ 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 (/ x (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 (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [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 1) (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 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 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 1/6
* [misc]backup-simplify:  Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ 1/6 1)) (* 0 (/ 0 1)))) into -1/3
* [misc]backup-simplify:  Simplify -1/3 into -1/3
* [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 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/6) 1)) (* 1/6 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1/6 1)) (* -1/3 (/ 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 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) (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 7/360
* [misc]backup-simplify:  Simplify (- (/ 1/120 1) (+ (* 1 (/ 7/360 1)) (* 0 (/ 0 1)) (* -1/3 (/ 1/6 1)) (* 0 (/ 0 1)))) into 2/45
* [misc]backup-simplify:  Simplify 2/45 into 2/45
* [misc]backup-simplify:  Simplify (+ (* 2/45 (pow x 5)) (+ (* -1/3 (pow x 3)) (* 1 x))) into (- (+ x (* 2/45 (pow x 5))) (* 1/3 (pow x 3)))
* [misc]approximate:  Taking taylor expansion of (/ (sin (/ 1 x)) (/ (/ 1 x) (sin (/ 1 x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 x)) (/ (/ 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 (/ (/ 1 x) (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]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 (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1 x)) (/ 1 (sin (/ 1 x)))) into (pow (sin (/ 1 x)) 2)
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 x)) (/ (/ 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 (/ (/ 1 x) (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]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 (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1 x)) (/ 1 (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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sin (/ 1 x)))) (+ (* (pow (sin (/ 1 x)) 2) (/ 0 (/ 1 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sin (/ 1 x)))) (+ (* (pow (sin (/ 1 x)) 2) (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sin (/ 1 x)))) (+ (* (pow (sin (/ 1 x)) 2) (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sin (/ 1 x)))) (+ (* (pow (sin (/ 1 x)) 2) (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sin (/ 1 x)))) (+ (* (pow (sin (/ 1 x)) 2) (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sin (/ 1 x)))) (+ (* (pow (sin (/ 1 x)) 2) (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (pow (sin (/ 1 (/ 1 x))) 2) (/ 1 x)) into (/ (pow (sin x) 2) x)
* [misc]approximate:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (/ (/ 1 (- x)) (sin (/ 1 (- x))))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (/ (/ 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 (/ (/ 1 (- x)) (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]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 (/ -1 (sin (/ -1 x))) into (/ -1 (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1 x)) (/ -1 (sin (/ -1 x)))) into (* -1 (pow (sin (/ -1 x)) 2))
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (/ (/ 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 (/ (/ 1 (- x)) (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]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 (/ -1 (sin (/ -1 x))) into (/ -1 (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1 x)) (/ -1 (sin (/ -1 x)))) into (* -1 (pow (sin (/ -1 x)) 2))
* [misc]backup-simplify:  Simplify (* -1 (pow (sin (/ -1 x)) 2)) into (* -1 (pow (sin (/ -1 x)) 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ -1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 (sin (/ -1 x)))) (+ (* (* -1 (pow (sin (/ -1 x)) 2)) (/ 0 (/ -1 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ -1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 (sin (/ -1 x)))) (+ (* (* -1 (pow (sin (/ -1 x)) 2)) (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ -1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 (sin (/ -1 x)))) (+ (* (* -1 (pow (sin (/ -1 x)) 2)) (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ -1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 (sin (/ -1 x)))) (+ (* (* -1 (pow (sin (/ -1 x)) 2)) (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ -1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 (sin (/ -1 x)))) (+ (* (* -1 (pow (sin (/ -1 x)) 2)) (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 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 (sin (/ -1 x))) (+ (* (/ -1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 (sin (/ -1 x)))) (+ (* (* -1 (pow (sin (/ -1 x)) 2)) (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -1 (pow (sin (/ -1 (/ 1 (- x)))) 2)) (/ 1 (- x))) into (/ (pow (sin x) 2) x)
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin x) (/ 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 (/ x (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 (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (cos x) 3)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (cos x) 3) in x
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos x)))) in x
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos x))) in x
* [misc]taylor:  Taking taylor expansion of 3 in x
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos x)) in x
* [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 (log 1) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2
* [misc]backup-simplify:  Simplify (exp 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 (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x) in x
* [misc]taylor:  Taking taylor expansion of (- (* (cos x) (cos x)) (- (cos x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (* (cos x) (cos x)) in x
* [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 (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 (- (cos x) 1) in x
* [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 in x
* [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 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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin x) (/ 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 (/ x (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 (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (cos x) 3)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (cos x) 3) in x
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos x)))) in x
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos x))) in x
* [misc]taylor:  Taking taylor expansion of 3 in x
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos x)) in x
* [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 (log 1) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2
* [misc]backup-simplify:  Simplify (exp 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 (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x) in x
* [misc]taylor:  Taking taylor expansion of (- (* (cos x) (cos x)) (- (cos x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (* (cos x) (cos x)) in x
* [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 (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 (- (cos x) 1) in x
* [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 in x
* [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 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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) 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 1) (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) 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 (+ (* 1/2 0) (* 0 1)) 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 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (+ (* 1 (- 1/2)) (+ (* 0 0) (* (- 1/2) 1))) into -1
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- 1/2) 0) into -1/2
* [misc]backup-simplify:  Simplify (- -1/2) into 1/2
* [misc]backup-simplify:  Simplify (+ -1 1/2) into -1/2
* [misc]backup-simplify:  Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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) (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 1/6
* [misc]backup-simplify:  Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ 1/6 1)) (* 0 (/ 0 1)))) into -1/3
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -3/2 1) 1)))) into -3/2
* [misc]backup-simplify:  Simplify (+ 0 -3/2) into -3/2
* [misc]backup-simplify:  Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -3/2 2)) (* 0 (/ 0 2)))) into 5/24
* [misc]backup-simplify:  Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 5/24 1))) into -1/24
* [misc]backup-simplify:  Simplify -1/24 into -1/24
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 (- 1/2)) (+ (* (- 1/2) 0) (* 0 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) 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 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 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 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/6) 1)) (* 1/6 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1/6 1)) (* -1/3 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1/2)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -3/2 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -3/2 2)) (* 5/24 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 5/24 0) (* 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 (/ (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 1/24) (+ (* 0 0) (+ (* (- 1/2) (- 1/2)) (+ (* 0 0) (* 1/24 1))))) into 1/3
* [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) into 0
* [misc]backup-simplify:  Simplify (+ 1/24 0) into 1/24
* [misc]backup-simplify:  Simplify (- 1/24) into -1/24
* [misc]backup-simplify:  Simplify (+ 1/3 -1/24) into 7/24
* [misc]backup-simplify:  Simplify (- (/ 7/24 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 7/24
* [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) (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 7/360
* [misc]backup-simplify:  Simplify (- (/ 1/120 1) (+ (* 1 (/ 7/360 1)) (* 0 (/ 0 1)) (* -1/3 (/ 1/6 1)) (* 0 (/ 0 1)))) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1/2)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1/2)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/24) 1)) (pow 1 1)))) 24) into -1/12
* [misc]backup-simplify:  Simplify (+ (* 3 -1/12) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0))))) into -1/4
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -3/2 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -3/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 7/8
* [misc]backup-simplify:  Simplify (+ 0 7/8) into 7/8
* [misc]backup-simplify:  Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 7/8 2)) (* 0 (/ 0 2)) (* 5/24 (/ -3/2 2)) (* 0 (/ 0 2)))) into -29/720
* [misc]backup-simplify:  Simplify (+ (* 1/2 7/24) (+ (* 0 0) (+ (* 5/24 -1/2) (+ (* 0 0) (* -29/720 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 (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (/ (sin (/ 1 x)) (/ (/ 1 x) (sin (/ 1 x)))) (+ 1 (pow (cos (/ 1 x)) 3))) (/ (- (* (cos (/ 1 x)) (cos (/ 1 x))) (- (cos (/ 1 x)) 1)) (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (sin (/ 1 x)) (/ (/ 1 x) (sin (/ 1 x)))) (+ 1 (pow (cos (/ 1 x)) 3))) (/ (- (* (cos (/ 1 x)) (cos (/ 1 x))) (- (cos (/ 1 x)) 1)) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin (/ 1 x)) (/ (/ 1 x) (sin (/ 1 x)))) (+ 1 (pow (cos (/ 1 x)) 3))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 x)) (/ (/ 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 (/ (/ 1 x) (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]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 (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1 x)) (/ 1 (sin (/ 1 x)))) into (pow (sin (/ 1 x)) 2)
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (cos (/ 1 x)) 3)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of 3 in x
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 x))) in x
* [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 (log (cos (/ 1 x))) into (log (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ 1 x)))) into (* 3 (log (cos (/ 1 x))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ 1 x))))) into (pow (cos (/ 1 x)) 3)
* [misc]backup-simplify:  Simplify (+ 1 (pow (cos (/ 1 x)) 3)) into (+ (pow (cos (/ 1 x)) 3) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ 1 x)) 2) (+ (pow (cos (/ 1 x)) 3) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (pow (cos (/ 1 x)) 3) 1))
* [misc]taylor:  Taking taylor expansion of (/ (- (* (cos (/ 1 x)) (cos (/ 1 x))) (- (cos (/ 1 x)) 1)) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (- (* (cos (/ 1 x)) (cos (/ 1 x))) (- (cos (/ 1 x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 x)) (cos (/ 1 x))) in x
* [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 (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 (- (cos (/ 1 x)) 1) in x
* [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 in x
* [misc]backup-simplify:  Simplify 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)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 x)) -1) into (- (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (- (- (cos (/ 1 x)) 1)) into (- 1 (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ (pow (cos (/ 1 x)) 2) (- 1 (cos (/ 1 x)))) into (- (+ (pow (cos (/ 1 x)) 2) 1) (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (/ (- (+ (pow (cos (/ 1 x)) 2) 1) (cos (/ 1 x))) 1) into (- (+ (pow (cos (/ 1 x)) 2) 1) (cos (/ 1 x)))
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (sin (/ 1 x)) (/ (/ 1 x) (sin (/ 1 x)))) (+ 1 (pow (cos (/ 1 x)) 3))) (/ (- (* (cos (/ 1 x)) (cos (/ 1 x))) (- (cos (/ 1 x)) 1)) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin (/ 1 x)) (/ (/ 1 x) (sin (/ 1 x)))) (+ 1 (pow (cos (/ 1 x)) 3))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 x)) (/ (/ 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 (/ (/ 1 x) (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]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 (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x)))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1 x)) (/ 1 (sin (/ 1 x)))) into (pow (sin (/ 1 x)) 2)
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (cos (/ 1 x)) 3)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of 3 in x
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 x))) in x
* [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 (log (cos (/ 1 x))) into (log (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ 1 x)))) into (* 3 (log (cos (/ 1 x))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ 1 x))))) into (pow (cos (/ 1 x)) 3)
* [misc]backup-simplify:  Simplify (+ 1 (pow (cos (/ 1 x)) 3)) into (+ (pow (cos (/ 1 x)) 3) 1)
* [misc]backup-simplify:  Simplify (/ (pow (sin (/ 1 x)) 2) (+ (pow (cos (/ 1 x)) 3) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (pow (cos (/ 1 x)) 3) 1))
* [misc]taylor:  Taking taylor expansion of (/ (- (* (cos (/ 1 x)) (cos (/ 1 x))) (- (cos (/ 1 x)) 1)) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (- (* (cos (/ 1 x)) (cos (/ 1 x))) (- (cos (/ 1 x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 x)) (cos (/ 1 x))) in x
* [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 (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 (- (cos (/ 1 x)) 1) in x
* [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 in x
* [misc]backup-simplify:  Simplify 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)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (cos (/ 1 x)) -1) into (- (cos (/ 1 x)) 1)
* [misc]backup-simplify:  Simplify (- (- (cos (/ 1 x)) 1)) into (- 1 (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (+ (pow (cos (/ 1 x)) 2) (- 1 (cos (/ 1 x)))) into (- (+ (pow (cos (/ 1 x)) 2) 1) (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (/ (- (+ (pow (cos (/ 1 x)) 2) 1) (cos (/ 1 x))) 1) into (- (+ (pow (cos (/ 1 x)) 2) 1) (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (* (/ (pow (sin (/ 1 x)) 2) (+ (pow (cos (/ 1 x)) 3) 1)) (- (+ (pow (cos (/ 1 x)) 2) 1) (cos (/ 1 x)))) into (/ (* (pow (sin (/ 1 x)) 2) (- (+ (pow (cos (/ 1 x)) 2) 1) (cos (/ 1 x)))) (+ (pow (cos (/ 1 x)) 3) 1))
* [misc]backup-simplify:  Simplify (/ (* (pow (sin (/ 1 x)) 2) (- (+ (pow (cos (/ 1 x)) 2) 1) (cos (/ 1 x)))) (+ (pow (cos (/ 1 x)) 3) 1)) into (/ (* (pow (sin (/ 1 x)) 2) (- (+ (pow (cos (/ 1 x)) 2) 1) (cos (/ 1 x)))) (+ (pow (cos (/ 1 x)) 3) 1))
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) 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 (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- (+ (pow (cos (/ 1 x)) 2) 1) (cos (/ 1 x))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sin (/ 1 x)))) (+ (* (pow (sin (/ 1 x)) 2) (/ 0 (/ 1 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1 x)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (cos (/ 1 x))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (pow (cos (/ 1 x)) 3) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (pow (cos (/ 1 x)) 3) 1)) (/ 0 (+ (pow (cos (/ 1 x)) 3) 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (pow (cos (/ 1 x)) 3) 1)) 0) (* 0 (- (+ (pow (cos (/ 1 x)) 2) 1) (cos (/ 1 x))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- (+ (pow (cos (/ 1 x)) 2) 1) (cos (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sin (/ 1 x)))) (+ (* (pow (sin (/ 1 x)) 2) (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1 x)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (pow (cos (/ 1 x)) 3) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (pow (cos (/ 1 x)) 3) 1)) (/ 0 (+ (pow (cos (/ 1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ 1 x)) 3) 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (pow (cos (/ 1 x)) 3) 1)) 0) (+ (* 0 0) (* 0 (- (+ (pow (cos (/ 1 x)) 2) 1) (cos (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- (+ (pow (cos (/ 1 x)) 2) 1) (cos (/ 1 x))) (/ 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 (- (/ 0 (sin (/ 1 x))) (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sin (/ 1 x)))) (+ (* (pow (sin (/ 1 x)) 2) (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1 x)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1 x)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1 x)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (pow (cos (/ 1 x)) 3) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (pow (cos (/ 1 x)) 3) 1)) (/ 0 (+ (pow (cos (/ 1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ 1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ 1 x)) 3) 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (pow (cos (/ 1 x)) 3) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (pow (cos (/ 1 x)) 2) 1) (cos (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- (+ (pow (cos (/ 1 x)) 2) 1) (cos (/ 1 x))) (/ 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 (- (/ 0 (sin (/ 1 x))) (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sin (/ 1 x)))) (+ (* (pow (sin (/ 1 x)) 2) (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1 x)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1 x)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1 x)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 x)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 x)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (pow (cos (/ 1 x)) 3) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (pow (cos (/ 1 x)) 3) 1)) (/ 0 (+ (pow (cos (/ 1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ 1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ 1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ 1 x)) 3) 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (pow (cos (/ 1 x)) 3) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (pow (cos (/ 1 x)) 2) 1) (cos (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (- (+ (pow (cos (/ 1 x)) 2) 1) (cos (/ 1 x))) (/ 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 (- (/ 0 (sin (/ 1 x))) (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sin (/ 1 x)))) (+ (* (pow (sin (/ 1 x)) 2) (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1 x)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1 x)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1 x)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 x)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1 x)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 x)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1 x)) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 x))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (pow (cos (/ 1 x)) 3) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (pow (cos (/ 1 x)) 3) 1)) (/ 0 (+ (pow (cos (/ 1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ 1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ 1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ 1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ 1 x)) 3) 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (pow (cos (/ 1 x)) 3) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (pow (cos (/ 1 x)) 2) 1) (cos (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) 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 (- (+ (* 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) (+ (* (- (+ (pow (cos (/ 1 x)) 2) 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 (- (+ (* 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 (sin (/ 1 x))) (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sin (/ 1 x)))) (+ (* (pow (sin (/ 1 x)) 2) (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))) (* 0 (/ 0 (/ 1 (sin (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1 x)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1 x)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1 x)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 x)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1 x)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1 x)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 x)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1 x)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1 x)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1 x)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1 x)) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 x)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 x))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (pow (cos (/ 1 x)) 3) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (pow (cos (/ 1 x)) 3) 1)) (/ 0 (+ (pow (cos (/ 1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ 1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ 1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ 1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ 1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ 1 x)) 3) 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (pow (cos (/ 1 x)) 3) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (pow (cos (/ 1 x)) 2) 1) (cos (/ 1 x)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (* (pow (sin (/ 1 (/ 1 x))) 2) (- (+ (pow (cos (/ 1 (/ 1 x))) 2) 1) (cos (/ 1 (/ 1 x))))) (+ (pow (cos (/ 1 (/ 1 x))) 3) 1)) (pow (/ 1 x) 2)) into (/ (* (pow (sin x) 2) (- (+ (pow (cos x) 2) 1) (cos x))) (* (pow x 2) (+ (pow (cos x) 3) 1)))
* [misc]approximate:  Taking taylor expansion of (* (/ (/ (sin (/ 1 (- x))) (/ (/ 1 (- x)) (sin (/ 1 (- x))))) (+ 1 (pow (cos (/ 1 (- x))) 3))) (/ (- (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (- (cos (/ 1 (- x))) 1)) (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (sin (/ 1 (- x))) (/ (/ 1 (- x)) (sin (/ 1 (- x))))) (+ 1 (pow (cos (/ 1 (- x))) 3))) (/ (- (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (- (cos (/ 1 (- x))) 1)) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin (/ 1 (- x))) (/ (/ 1 (- x)) (sin (/ 1 (- x))))) (+ 1 (pow (cos (/ 1 (- x))) 3))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (/ (/ 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 (/ (/ 1 (- x)) (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]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 (/ -1 (sin (/ -1 x))) into (/ -1 (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1 x)) (/ -1 (sin (/ -1 x)))) into (* -1 (pow (sin (/ -1 x)) 2))
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (cos (/ 1 (- x))) 3)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 (- x))) 3) in x
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of 3 in x
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 (- x)))) in x
* [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 (log (cos (/ -1 x))) into (log (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ -1 x)))) into (* 3 (log (cos (/ -1 x))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ -1 x))))) into (pow (cos (/ -1 x)) 3)
* [misc]backup-simplify:  Simplify (+ 1 (pow (cos (/ -1 x)) 3)) into (+ (pow (cos (/ -1 x)) 3) 1)
* [misc]backup-simplify:  Simplify (/ (* -1 (pow (sin (/ -1 x)) 2)) (+ (pow (cos (/ -1 x)) 3) 1)) into (* -1 (/ (pow (sin (/ -1 x)) 2) (+ (pow (cos (/ -1 x)) 3) 1)))
* [misc]taylor:  Taking taylor expansion of (/ (- (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (- (cos (/ 1 (- x))) 1)) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (- (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (- (cos (/ 1 (- x))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) in x
* [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 (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 (- (cos (/ 1 (- x))) 1) in x
* [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 in x
* [misc]backup-simplify:  Simplify 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)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 x)) -1) into (- (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (- (- (cos (/ -1 x)) 1)) into (- 1 (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (+ (pow (cos (/ -1 x)) 2) (- 1 (cos (/ -1 x)))) into (- (+ 1 (pow (cos (/ -1 x)) 2)) (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ (- (+ 1 (pow (cos (/ -1 x)) 2)) (cos (/ -1 x))) -1) into (* -1 (- (+ 1 (pow (cos (/ -1 x)) 2)) (cos (/ -1 x))))
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (sin (/ 1 (- x))) (/ (/ 1 (- x)) (sin (/ 1 (- x))))) (+ 1 (pow (cos (/ 1 (- x))) 3))) (/ (- (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (- (cos (/ 1 (- x))) 1)) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ (sin (/ 1 (- x))) (/ (/ 1 (- x)) (sin (/ 1 (- x))))) (+ 1 (pow (cos (/ 1 (- x))) 3))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sin (/ 1 (- x))) (/ (/ 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 (/ (/ 1 (- x)) (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]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 (/ -1 (sin (/ -1 x))) into (/ -1 (sin (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1 x)) (/ -1 (sin (/ -1 x)))) into (* -1 (pow (sin (/ -1 x)) 2))
* [misc]taylor:  Taking taylor expansion of (+ 1 (pow (cos (/ 1 (- x))) 3)) in x
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 (- x))) 3) in x
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of 3 in x
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 (- x)))) in x
* [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 (log (cos (/ -1 x))) into (log (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ -1 x)))) into (* 3 (log (cos (/ -1 x))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ -1 x))))) into (pow (cos (/ -1 x)) 3)
* [misc]backup-simplify:  Simplify (+ 1 (pow (cos (/ -1 x)) 3)) into (+ (pow (cos (/ -1 x)) 3) 1)
* [misc]backup-simplify:  Simplify (/ (* -1 (pow (sin (/ -1 x)) 2)) (+ (pow (cos (/ -1 x)) 3) 1)) into (* -1 (/ (pow (sin (/ -1 x)) 2) (+ (pow (cos (/ -1 x)) 3) 1)))
* [misc]taylor:  Taking taylor expansion of (/ (- (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (- (cos (/ 1 (- x))) 1)) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (- (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (- (cos (/ 1 (- x))) 1)) in x
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) in x
* [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 (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 (- (cos (/ 1 (- x))) 1) in x
* [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 in x
* [misc]backup-simplify:  Simplify 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)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (cos (/ -1 x)) -1) into (- (cos (/ -1 x)) 1)
* [misc]backup-simplify:  Simplify (- (- (cos (/ -1 x)) 1)) into (- 1 (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (+ (pow (cos (/ -1 x)) 2) (- 1 (cos (/ -1 x)))) into (- (+ 1 (pow (cos (/ -1 x)) 2)) (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (/ (- (+ 1 (pow (cos (/ -1 x)) 2)) (cos (/ -1 x))) -1) into (* -1 (- (+ 1 (pow (cos (/ -1 x)) 2)) (cos (/ -1 x))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (pow (sin (/ -1 x)) 2) (+ (pow (cos (/ -1 x)) 3) 1))) (* -1 (- (+ 1 (pow (cos (/ -1 x)) 2)) (cos (/ -1 x))))) into (/ (* (- (+ 1 (pow (cos (/ -1 x)) 2)) (cos (/ -1 x))) (pow (sin (/ -1 x)) 2)) (+ (pow (cos (/ -1 x)) 3) 1))
* [misc]backup-simplify:  Simplify (/ (* (- (+ 1 (pow (cos (/ -1 x)) 2)) (cos (/ -1 x))) (pow (sin (/ -1 x)) 2)) (+ (pow (cos (/ -1 x)) 3) 1)) into (/ (* (- (+ 1 (pow (cos (/ -1 x)) 2)) (cos (/ -1 x))) (pow (sin (/ -1 x)) 2)) (+ (pow (cos (/ -1 x)) 3) 1))
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (- (+ 1 (pow (cos (/ -1 x)) 2)) (cos (/ -1 x)))) (/ 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 (- (/ 0 (sin (/ -1 x))) (+ (* (/ -1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 (sin (/ -1 x)))) (+ (* (* -1 (pow (sin (/ -1 x)) 2)) (/ 0 (/ -1 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1 x)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (cos (/ -1 x))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (pow (cos (/ -1 x)) 3) 1)) (+ (* (* -1 (/ (pow (sin (/ -1 x)) 2) (+ (pow (cos (/ -1 x)) 3) 1))) (/ 0 (+ (pow (cos (/ -1 x)) 3) 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ (pow (sin (/ -1 x)) 2) (+ (pow (cos (/ -1 x)) 3) 1))) 0) (* 0 (* -1 (- (+ 1 (pow (cos (/ -1 x)) 2)) (cos (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) 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 (- 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 (- (+ 1 (pow (cos (/ -1 x)) 2)) (cos (/ -1 x)))) (/ 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 (- (/ 0 (sin (/ -1 x))) (+ (* (/ -1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 (sin (/ -1 x)))) (+ (* (* -1 (pow (sin (/ -1 x)) 2)) (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1 x)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (pow (cos (/ -1 x)) 3) 1)) (+ (* (* -1 (/ (pow (sin (/ -1 x)) 2) (+ (pow (cos (/ -1 x)) 3) 1))) (/ 0 (+ (pow (cos (/ -1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 3) 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ (pow (sin (/ -1 x)) 2) (+ (pow (cos (/ -1 x)) 3) 1))) 0) (+ (* 0 0) (* 0 (* -1 (- (+ 1 (pow (cos (/ -1 x)) 2)) (cos (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) 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 (- 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 (- (+ 1 (pow (cos (/ -1 x)) 2)) (cos (/ -1 x)))) (/ 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 (- (/ 0 (sin (/ -1 x))) (+ (* (/ -1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 (sin (/ -1 x)))) (+ (* (* -1 (pow (sin (/ -1 x)) 2)) (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1 x)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1 x)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1 x)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (pow (cos (/ -1 x)) 3) 1)) (+ (* (* -1 (/ (pow (sin (/ -1 x)) 2) (+ (pow (cos (/ -1 x)) 3) 1))) (/ 0 (+ (pow (cos (/ -1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 3) 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ (pow (sin (/ -1 x)) 2) (+ (pow (cos (/ -1 x)) 3) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (- (+ 1 (pow (cos (/ -1 x)) 2)) (cos (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) 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 (- 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 (- (+ 1 (pow (cos (/ -1 x)) 2)) (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 (- 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 (sin (/ -1 x))) (+ (* (/ -1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 (sin (/ -1 x)))) (+ (* (* -1 (pow (sin (/ -1 x)) 2)) (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1 x)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1 x)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1 x)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 x)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 x)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (pow (cos (/ -1 x)) 3) 1)) (+ (* (* -1 (/ (pow (sin (/ -1 x)) 2) (+ (pow (cos (/ -1 x)) 3) 1))) (/ 0 (+ (pow (cos (/ -1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 3) 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ (pow (sin (/ -1 x)) 2) (+ (pow (cos (/ -1 x)) 3) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (- (+ 1 (pow (cos (/ -1 x)) 2)) (cos (/ -1 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) 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 (- 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 (- (+ 1 (pow (cos (/ -1 x)) 2)) (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 (- 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 (sin (/ -1 x))) (+ (* (/ -1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 (sin (/ -1 x)))) (+ (* (* -1 (pow (sin (/ -1 x)) 2)) (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1 x)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1 x)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1 x)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 x)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1 x)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 x)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1 x)) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 x))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (pow (cos (/ -1 x)) 3) 1)) (+ (* (* -1 (/ (pow (sin (/ -1 x)) 2) (+ (pow (cos (/ -1 x)) 3) 1))) (/ 0 (+ (pow (cos (/ -1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 3) 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ (pow (sin (/ -1 x)) 2) (+ (pow (cos (/ -1 x)) 3) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (- (+ 1 (pow (cos (/ -1 x)) 2)) (cos (/ -1 x)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) 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 (- 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 (- (+ 1 (pow (cos (/ -1 x)) 2)) (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) 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 (sin (/ -1 x))) (+ (* (/ -1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 (sin (/ -1 x)))) (+ (* (* -1 (pow (sin (/ -1 x)) 2)) (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))) (* 0 (/ 0 (/ -1 (sin (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1 x)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1 x)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1 x)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 x)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1 x)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1 x)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 x)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1 x)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1 x)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1 x)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1 x)) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 x)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 x))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (pow (cos (/ -1 x)) 3) 1)) (+ (* (* -1 (/ (pow (sin (/ -1 x)) 2) (+ (pow (cos (/ -1 x)) 3) 1))) (/ 0 (+ (pow (cos (/ -1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 3) 1))) (* 0 (/ 0 (+ (pow (cos (/ -1 x)) 3) 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ (pow (sin (/ -1 x)) 2) (+ (pow (cos (/ -1 x)) 3) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (- (+ 1 (pow (cos (/ -1 x)) 2)) (cos (/ -1 x))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (* (- (+ 1 (pow (cos (/ -1 (/ 1 (- x)))) 2)) (cos (/ -1 (/ 1 (- x))))) (pow (sin (/ -1 (/ 1 (- x)))) 2)) (+ (pow (cos (/ -1 (/ 1 (- x)))) 3) 1)) (pow (/ 1 (- x)) 2)) into (/ (* (pow (sin x) 2) (- (+ (pow (cos x) 2) 1) (cos x))) (* (pow x 2) (+ (pow (cos x) 3) 1)))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 2 2)
* [misc]approximate:  Taking taylor expansion of (pow (cos x) 3) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (pow (cos x) 3) in x
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos x)))) in x
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos x))) in x
* [misc]taylor:  Taking taylor expansion of 3 in x
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos x)) in x
* [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 (log 1) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (pow (cos x) 3) in x
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos x)))) in x
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos x))) in x
* [misc]taylor:  Taking taylor expansion of 3 in x
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos x)) in x
* [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 (log 1) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -3/2 1) 1)))) into -3/2
* [misc]backup-simplify:  Simplify -3/2 into -3/2
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1/2)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -3/2 1) 1)) (* (/ (pow 0 1) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1/2)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1/2)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/24) 1)) (pow 1 1)))) 24) into -1/12
* [misc]backup-simplify:  Simplify (+ (* 3 -1/12) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0))))) into -1/4
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -3/2 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -3/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 7/8
* [misc]backup-simplify:  Simplify 7/8 into 7/8
* [misc]backup-simplify:  Simplify (+ (* 7/8 (pow x 4)) (+ (* -3/2 (pow x 2)) 1)) into (- (+ (* 7/8 (pow x 4)) 1) (* 3/2 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (pow (cos (/ 1 x)) 3) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of 3 in x
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 x))) in x
* [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 (log (cos (/ 1 x))) into (log (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ 1 x)))) into (* 3 (log (cos (/ 1 x))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ 1 x))))) into (pow (cos (/ 1 x)) 3)
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 x))))) in x
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 x)))) in x
* [misc]taylor:  Taking taylor expansion of 3 in x
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 x))) in x
* [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 (log (cos (/ 1 x))) into (log (cos (/ 1 x)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ 1 x)))) into (* 3 (log (cos (/ 1 x))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ 1 x))))) into (pow (cos (/ 1 x)) 3)
* [misc]backup-simplify:  Simplify (pow (cos (/ 1 x)) 3) into (pow (cos (/ 1 x)) 3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1 x)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (cos (/ 1 x))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1 x)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ 1 x)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1 x)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1 x)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1 x)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 x))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1 x)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1 x)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1 x)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 x)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 x)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1 x)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1 x)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1 x)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 x)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1 x)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 x)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1 x)) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 x))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1 x)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1 x)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1 x)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 x)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1 x)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1 x)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 x)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1 x)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1 x)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1 x)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1 x)) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 x)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1 x))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (cos (/ 1 (/ 1 x))) 3) into (pow (cos x) 3)
* [misc]approximate:  Taking taylor expansion of (pow (cos (/ 1 (- x))) 3) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 (- x))) 3) in x
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of 3 in x
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 (- x)))) in x
* [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 (log (cos (/ -1 x))) into (log (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ -1 x)))) into (* 3 (log (cos (/ -1 x))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ -1 x))))) into (pow (cos (/ -1 x)) 3)
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1 (- x))) 3) in x
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- x)))))) in x
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1 (- x))))) in x
* [misc]taylor:  Taking taylor expansion of 3 in x
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1 (- x)))) in x
* [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 (log (cos (/ -1 x))) into (log (cos (/ -1 x)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ -1 x)))) into (* 3 (log (cos (/ -1 x))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ -1 x))))) into (pow (cos (/ -1 x)) 3)
* [misc]backup-simplify:  Simplify (pow (cos (/ -1 x)) 3) into (pow (cos (/ -1 x)) 3)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1 x)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (cos (/ -1 x))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1 x)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ -1 x)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1 x)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1 x)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1 x)) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 x))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1 x)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1 x)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1 x)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 x)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 x)) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 x)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1 x)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1 x)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1 x)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 x)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1 x)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 x)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1 x)) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 x))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 x))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1 x)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1 x)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1 x)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 x)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1 x)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1 x)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 x)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1 x)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1 x)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1 x)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1 x)) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 x)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1 x))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (pow (cos (/ -1 (/ 1 (- x)))) 3) into (pow (cos x) 3)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (pow (- (cos x) 1) 1)) x)))>
* * * * [misc]progress:  [ 2 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (exp (log (- (cos x) 1)))) x)))>
* [enter]simplify:  Simplifying (log (- (cos x) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (log (- (cos x) 1))
* [exit]simplify:  Simplified to (log (- (cos x) 1))
* * * * [misc]progress:  [ 3 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (log (exp (- (cos x) 1)))) x)))>
* [enter]simplify:  Simplifying (exp (- (cos x) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (16 enodes)
* * [misc]simplify:  iters left: 1 (18 enodes)
* [exit]simplify:  Simplified to (/ (exp (cos x)) E)
* [exit]simplify:  Simplified to (/ (exp (cos x)) E)
* * * * [misc]progress:  [ 4 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (* (* (cbrt (- (cos x) 1)) (cbrt (- (cos x) 1))) (cbrt (- (cos x) 1)))) x)))>
* [enter]simplify:  Simplifying (* (cbrt (- (cos x) 1)) (cbrt (- (cos x) 1)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- (cos x) 1)) (cbrt (- (cos x) 1)))
* [exit]simplify:  Simplified to (* (cbrt (- (cos x) 1)) (cbrt (- (cos x) 1)))
* [enter]simplify:  Simplifying (cbrt (- (cos x) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (- (cos x) 1))
* [exit]simplify:  Simplified to (cbrt (- (cos x) 1))
* * * * [misc]progress:  [ 5 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (cbrt (* (* (- (cos x) 1) (- (cos x) 1)) (- (cos x) 1)))) x)))>
* [enter]simplify:  Simplifying (* (* (- (cos x) 1) (- (cos x) 1)) (- (cos x) 1))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (242 enodes)
* [exit]simplify:  Simplified to (pow (- (cos x) 1) 3)
* [exit]simplify:  Simplified to (pow (- (cos x) 1) 3)
* * * * [misc]progress:  [ 6 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (* (sqrt (- (cos x) 1)) (sqrt (- (cos x) 1)))) x)))>
* [enter]simplify:  Simplifying (sqrt (- (cos x) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (- (cos x) 1))
* [exit]simplify:  Simplified to (sqrt (- (cos x) 1))
* [enter]simplify:  Simplifying (sqrt (- (cos x) 1))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (- (cos x) 1))
* [exit]simplify:  Simplified to (sqrt (- (cos x) 1))
* * * * [misc]progress:  [ 7 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (/ (- (pow (cos x) 3) (pow 1 3)) (+ (* (cos x) (cos x)) (+ (* 1 1) (* (cos x) 1))))) x)))>
* [enter]simplify:  Simplifying (- (pow (cos x) 3) (pow 1 3))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* [exit]simplify:  Simplified to (- (pow (cos x) 3) 1)
* [exit]simplify:  Simplified to (- (pow (cos x) 3) 1)
* [enter]simplify:  Simplifying (+ (* (cos x) (cos x)) (+ (* 1 1) (* (cos x) 1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (47 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:  [ 8 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (+ (cos x) (- 1))) x)))>
* [enter]simplify:  Simplifying (- 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)
* * * * [misc]progress:  [ 9 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (* 1 (- (cos x) 1))) x)))>
* * * * [misc]progress:  [ 10 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (/ (- (* (cos x) (cos x)) (* 1 1)) (+ (cos x) 1))) x)))>
* [enter]simplify:  Simplifying (- (* (cos x) (cos x)) (* 1 1))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (- (* (sin x) (sin x)))
* [exit]simplify:  Simplified to (- (* (sin x) (sin x)))
* [enter]simplify:  Simplifying (+ (cos x) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (+ (cos x) 1)
* [exit]simplify:  Simplified to (+ (cos x) 1)
* * * * [misc]progress:  [ 11 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (* (+ (sqrt (cos x)) 1) (- (sqrt (cos x)) 1))) x)))>
* [enter]simplify:  Simplifying (+ (sqrt (cos x)) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (+ 1 (sqrt (cos x)))
* [exit]simplify:  Simplified to (+ 1 (sqrt (cos x)))
* [enter]simplify:  Simplifying (- (sqrt (cos x)) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* [exit]simplify:  Simplified to (- (sqrt (cos x)) 1)
* [exit]simplify:  Simplified to (- (sqrt (cos x)) 1)
* * * * [misc]progress:  [ 12 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (+ (cos x) (- 1))) x)))>
* [enter]simplify:  Simplifying (- 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)
* * * * [misc]progress:  [ 13 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (pow (/ (sin x) (/ x (sin x))) 1) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* * * * [misc]progress:  [ 14 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (exp (- (log (sin x)) (log (/ x (sin x))))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (- (log (sin x)) (log (/ x (sin x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (+ (- (log (sin x)) (log x)) (log (sin x)))
* [exit]simplify:  Simplified to (+ (- (log (sin x)) (log x)) (log (sin x)))
* * * * [misc]progress:  [ 15 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (exp (log (/ (sin x) (/ x (sin x))))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (log (/ (sin x) (/ x (sin x))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (log (/ (sin x) (/ x (sin x))))
* [exit]simplify:  Simplified to (log (/ (sin x) (/ x (sin x))))
* * * * [misc]progress:  [ 16 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (log (exp (/ (sin x) (/ x (sin x))))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (exp (/ (sin x) (/ x (sin x))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (exp (/ (sin x) (/ x (sin x))))
* [exit]simplify:  Simplified to (exp (/ (sin x) (/ x (sin x))))
* * * * [misc]progress:  [ 17 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (cbrt (/ (* (* (sin x) (sin x)) (sin x)) (* (* (/ x (sin x)) (/ x (sin x))) (/ x (sin x))))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (/ (* (* (sin x) (sin x)) (sin x)) (* (* (/ x (sin x)) (/ x (sin x))) (/ x (sin x))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (208 enodes)
* * [misc]simplify:  iters left: 2 (419 enodes)
* [exit]simplify:  Simplified to (* (* (* (sin x) (sin x)) (/ (sin x) x)) (/ (* (sin x) (sin x)) (/ (* x x) (sin x))))
* [exit]simplify:  Simplified to (* (* (* (sin x) (sin x)) (/ (sin x) x)) (/ (* (sin x) (sin x)) (/ (* x x) (sin x))))
* * * * [misc]progress:  [ 18 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (* (cbrt (/ (sin x) (/ x (sin x)))) (cbrt (/ (sin x) (/ x (sin x))))) (cbrt (/ (sin x) (/ x (sin x))))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (* (cbrt (/ (sin x) (/ x (sin x)))) (cbrt (/ (sin x) (/ x (sin x)))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (sin x) (/ x (sin x)))) (cbrt (/ (sin x) (/ x (sin x)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (sin x) (/ x (sin x)))) (cbrt (/ (sin x) (/ x (sin x)))))
* [enter]simplify:  Simplifying (cbrt (/ (sin x) (/ x (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) (sin x)) x))
* [exit]simplify:  Simplified to (cbrt (/ (* (sin x) (sin x)) x))
* * * * [misc]progress:  [ 19 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (cbrt (* (* (/ (sin x) (/ x (sin x))) (/ (sin x) (/ x (sin x)))) (/ (sin x) (/ x (sin x))))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (* (* (/ (sin x) (/ x (sin x))) (/ (sin x) (/ x (sin x)))) (/ (sin x) (/ x (sin x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (353 enodes)
* [exit]simplify:  Simplified to (/ (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (/ (* x x) (sin x)) (/ x (sin x))))
* [exit]simplify:  Simplified to (/ (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (/ (* x x) (sin x)) (/ x (sin x))))
* * * * [misc]progress:  [ 20 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (sqrt (/ (sin x) (/ x (sin x)))) (sqrt (/ (sin x) (/ x (sin x))))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (sqrt (/ (sin x) (/ x (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 (sqrt (/ (* (sin x) (sin x)) x))
* [exit]simplify:  Simplified to (sqrt (/ (* (sin x) (sin x)) x))
* [enter]simplify:  Simplifying (sqrt (/ (sin x) (/ x (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 (sqrt (/ (* (sin x) (sin x)) x))
* [exit]simplify:  Simplified to (sqrt (/ (* (sin x) (sin x)) x))
* * * * [misc]progress:  [ 21 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (- (sin x)) (- (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) 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 (- (/ x (sin x)))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (- x) (sin x))
* [exit]simplify:  Simplified to (/ (- x) (sin x))
* * * * [misc]progress:  [ 22 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (/ x (sin x))) (cbrt (/ x (sin x))))) (/ (cbrt (sin x)) (cbrt (/ x (sin x))))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (/ x (sin x))) (cbrt (/ x (sin x)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sin x)) (cbrt (/ x (sin x)))) (/ (cbrt (sin x)) (cbrt (/ x (sin x)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (sin x)) (cbrt (/ x (sin x)))) (/ (cbrt (sin x)) (cbrt (/ x (sin x)))))
* [enter]simplify:  Simplifying (/ (cbrt (sin x)) (cbrt (/ x (sin x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sin x)) (cbrt (/ x (sin x))))
* [exit]simplify:  Simplified to (/ (cbrt (sin x)) (cbrt (/ x (sin x))))
* * * * [misc]progress:  [ 23 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (/ x (sin x)))) (/ (cbrt (sin x)) (sqrt (/ x (sin x))))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (/ x (sin x))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (/ x (sin x))))
* [exit]simplify:  Simplified to (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (/ x (sin x))))
* [enter]simplify:  Simplifying (/ (cbrt (sin x)) (sqrt (/ x (sin x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sin x)) (sqrt (/ x (sin x))))
* [exit]simplify:  Simplified to (/ (cbrt (sin x)) (sqrt (/ x (sin x))))
* * * * [misc]progress:  [ 24 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) 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 (16 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sin x)) (cbrt (sin x)))
* [exit]simplify:  Simplified to (* (cbrt (sin x)) (cbrt (sin x)))
* [enter]simplify:  Simplifying (/ (cbrt (sin x)) (/ x (sin x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sin x)) (/ x (sin x)))
* [exit]simplify:  Simplified to (/ (cbrt (sin x)) (/ x (sin x)))
* * * * [misc]progress:  [ 25 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (/ (* (cbrt (sin x)) (cbrt (sin x))) x) (/ (cbrt (sin x)) (/ 1 (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sin x)) (cbrt (sin x))) x)
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sin x)) (/ x (cbrt (sin x))))
* [exit]simplify:  Simplified to (/ (cbrt (sin x)) (/ x (cbrt (sin x))))
* [enter]simplify:  Simplifying (/ (cbrt (sin x)) (/ 1 (sin x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sin x)) (sin x))
* [exit]simplify:  Simplified to (* (cbrt (sin x)) (sin x))
* * * * [misc]progress:  [ 26 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (/ (sqrt (sin x)) (* (cbrt (/ x (sin x))) (cbrt (/ x (sin x))))) (/ (sqrt (sin x)) (cbrt (/ x (sin x))))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (/ (sqrt (sin x)) (* (cbrt (/ x (sin x))) (cbrt (/ x (sin x)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (* (cbrt (/ x (sin x))) (cbrt (/ x (sin x)))))
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (* (cbrt (/ x (sin x))) (cbrt (/ x (sin x)))))
* [enter]simplify:  Simplifying (/ (sqrt (sin x)) (cbrt (/ x (sin x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (cbrt (/ x (sin x))))
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (cbrt (/ x (sin x))))
* * * * [misc]progress:  [ 27 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (/ (sqrt (sin x)) (sqrt (/ x (sin x)))) (/ (sqrt (sin x)) (sqrt (/ x (sin x))))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (/ (sqrt (sin x)) (sqrt (/ x (sin x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (sqrt (/ x (sin x))))
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (sqrt (/ x (sin x))))
* [enter]simplify:  Simplifying (/ (sqrt (sin x)) (sqrt (/ x (sin x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (sqrt (/ x (sin x))))
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (sqrt (/ x (sin x))))
* * * * [misc]progress:  [ 28 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (/ (sqrt (sin x)) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sin x))
* [exit]simplify:  Simplified to (sqrt (sin x))
* [enter]simplify:  Simplifying (/ (sqrt (sin x)) (/ x (sin x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (/ x (sin x)))
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) (/ x (sin x)))
* * * * [misc]progress:  [ 29 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (/ (sqrt (sin x)) x) (/ (sqrt (sin x)) (/ 1 (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (/ (sqrt (sin x)) x)
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) x)
* [exit]simplify:  Simplified to (/ (sqrt (sin x)) x)
* [enter]simplify:  Simplifying (/ (sqrt (sin x)) (/ 1 (sin x)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sin x)) (sin x))
* [exit]simplify:  Simplified to (* (sqrt (sin x)) (sin x))
* * * * [misc]progress:  [ 30 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (/ 1 (* (cbrt (/ x (sin x))) (cbrt (/ x (sin x))))) (/ (sin x) (cbrt (/ x (sin x))))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (/ x (sin x))) (cbrt (/ x (sin x)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (/ x (sin x)))) (cbrt (/ x (sin x))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (/ x (sin x)))) (cbrt (/ x (sin x))))
* [enter]simplify:  Simplifying (/ (sin x) (cbrt (/ x (sin x))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (cbrt (/ x (sin x))))
* [exit]simplify:  Simplified to (/ (sin x) (cbrt (/ x (sin x))))
* * * * [misc]progress:  [ 31 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (/ 1 (sqrt (/ x (sin x)))) (/ (sin x) (sqrt (/ x (sin x))))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (/ x (sin x))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (/ x (sin x))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (/ x (sin x))))
* [enter]simplify:  Simplifying (/ (sin x) (sqrt (/ x (sin x))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (/ x (sin x))))
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (/ x (sin x))))
* * * * [misc]progress:  [ 32 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (/ 1 1) (/ (sin x) (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) 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) (/ x (sin x)))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (/ x (sin x)))
* [exit]simplify:  Simplified to (/ (sin x) (/ x (sin x)))
* * * * [misc]progress:  [ 33 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (/ 1 x) (/ (sin x) (/ 1 (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (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)
* [enter]simplify:  Simplifying (/ (sin x) (/ 1 (sin x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* [exit]simplify:  Simplified to (* (sin x) (sin x))
* * * * [misc]progress:  [ 34 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* 1 (/ (sin x) (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* * * * [misc]progress:  [ 35 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (sin x) (/ 1 (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (/ 1 (/ x (sin x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* [exit]simplify:  Simplified to (/ (sin x) x)
* [exit]simplify:  Simplified to (/ (sin x) x)
* * * * [misc]progress:  [ 36 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ 1 (/ (/ x (sin x)) (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (/ (/ x (sin x)) (sin x))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (/ x (sin x)) (sin x))
* [exit]simplify:  Simplified to (/ (/ x (sin x)) (sin x))
* * * * [misc]progress:  [ 37 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (/ (sin x) (* (cbrt (/ x (sin x))) (cbrt (/ x (sin x))))) (cbrt (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (/ (sin x) (* (cbrt (/ x (sin x))) (cbrt (/ x (sin x)))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (* (cbrt (/ x (sin x))) (cbrt (/ x (sin x)))))
* [exit]simplify:  Simplified to (/ (sin x) (* (cbrt (/ x (sin x))) (cbrt (/ x (sin x)))))
* * * * [misc]progress:  [ 38 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (/ (sin x) (sqrt (/ x (sin x)))) (sqrt (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (/ (sin x) (sqrt (/ x (sin x))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (/ x (sin x))))
* [exit]simplify:  Simplified to (/ (sin x) (sqrt (/ x (sin x))))
* * * * [misc]progress:  [ 39 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (/ (sin x) 1) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (/ (sin x) 1)
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* * [misc]simplify:  iters left: 1 (8 enodes)
* [exit]simplify:  Simplified to (sin x)
* [exit]simplify:  Simplified to (sin x)
* * * * [misc]progress:  [ 40 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (/ (sin x) x) (/ 1 (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (/ (sin x) x)
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (/ (sin x) x)
* [exit]simplify:  Simplified to (/ (sin x) x)
* * * * [misc]progress:  [ 41 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ (/ x (sin x)) (cbrt (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (/ (/ x (sin x)) (cbrt (sin x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ x (sin x)) (cbrt (sin x)))
* [exit]simplify:  Simplified to (/ (/ x (sin x)) (cbrt (sin x)))
* * * * [misc]progress:  [ 42 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sqrt (sin x)) (/ (/ x (sin x)) (sqrt (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (/ (/ x (sin x)) (sqrt (sin x)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ x (sin x)) (sqrt (sin x)))
* [exit]simplify:  Simplified to (/ (/ x (sin x)) (sqrt (sin x)))
* * * * [misc]progress:  [ 43 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ 1 (/ (/ x (sin x)) (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (/ (/ x (sin x)) (sin x))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to (/ (/ x (sin x)) (sin x))
* [exit]simplify:  Simplified to (/ (/ x (sin x)) (sin x))
* * * * [misc]progress:  [ 44 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (/ (sin x) x) (sin x)) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (/ (sin x) x)
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (/ (sin x) x)
* [exit]simplify:  Simplified to (/ (sin x) x)
* * * * [misc]progress:  [ 45 / 154 ] simplifiying candidate #<alt-delta (λ (x) (pow (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)) 1))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (344 enodes)
* [exit]simplify:  Simplified to (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (+ (* (pow (cos x) 3) (/ x (sin x))) (/ x (sin x))))
* [exit]simplify:  Simplified to (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (+ (* (pow (cos x) 3) (/ x (sin x))) (/ x (sin x))))
* * * * [misc]progress:  [ 46 / 154 ] simplifiying candidate #<alt-delta (λ (x) (pow (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)) 1))>
* * * * [misc]progress:  [ 47 / 154 ] simplifiying candidate #<alt-delta (λ (x) (exp (+ (- (- (log (sin x)) (log (/ x (sin x)))) (log (+ 1 (pow (cos x) 3)))) (log (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))))>
* [enter]simplify:  Simplifying (+ (- (- (log (sin x)) (log (/ x (sin x)))) (log (+ 1 (pow (cos x) 3)))) (log (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (266 enodes)
* [exit]simplify:  Simplified to (- (- (log (+ (* (cos x) (cos x)) (- 1 (cos x)))) (log (/ x (sin x)))) (+ (log (/ x (sin x))) (log (+ 1 (pow (cos x) 3)))))
* [exit]simplify:  Simplified to (- (- (log (+ (* (cos x) (cos x)) (- 1 (cos x)))) (log (/ x (sin x)))) (+ (log (/ x (sin x))) (log (+ 1 (pow (cos x) 3)))))
* * * * [misc]progress:  [ 48 / 154 ] simplifiying candidate #<alt-delta (λ (x) (exp (+ (- (log (/ (sin x) (/ x (sin x)))) (log (+ 1 (pow (cos x) 3)))) (log (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))))>
* [enter]simplify:  Simplifying (+ (- (log (/ (sin x) (/ x (sin x)))) (log (+ 1 (pow (cos x) 3)))) (log (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (219 enodes)
* [exit]simplify:  Simplified to (- (- (log (- (* (cos x) (cos x)) (- (cos x) 1))) (log (/ x (sin x)))) (+ (log (/ x (sin x))) (log (+ 1 (pow (cos x) 3)))))
* [exit]simplify:  Simplified to (- (- (log (- (* (cos x) (cos x)) (- (cos x) 1))) (log (/ x (sin x)))) (+ (log (/ x (sin x))) (log (+ 1 (pow (cos x) 3)))))
* * * * [misc]progress:  [ 49 / 154 ] simplifiying candidate #<alt-delta (λ (x) (exp (+ (log (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3)))) (log (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))))>
* [enter]simplify:  Simplifying (+ (log (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3)))) (log (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (484 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x)) (log (/ (/ (sin x) (/ x (sin x))) (+ (pow (cos x) 3) 1))))
* [exit]simplify:  Simplified to (+ (log (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x)) (log (/ (/ (sin x) (/ x (sin x))) (+ (pow (cos x) 3) 1))))
* * * * [misc]progress:  [ 50 / 154 ] simplifiying candidate #<alt-delta (λ (x) (exp (log (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))))>
* [enter]simplify:  Simplifying (log (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (406 enodes)
* [exit]simplify:  Simplified to (log (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (+ (* (pow (cos x) 3) (/ x (sin x))) (/ x (sin x)))))
* [exit]simplify:  Simplified to (log (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (+ (* (pow (cos x) 3) (/ x (sin x))) (/ x (sin x)))))
* * * * [misc]progress:  [ 51 / 154 ] simplifiying candidate #<alt-delta (λ (x) (log (exp (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))))>
* [enter]simplify:  Simplifying (exp (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (345 enodes)
* [exit]simplify:  Simplified to (exp (/ (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (sin x))) (+ (* (pow (cos x) 3) (/ x (sin x))) (/ x (sin x)))))
* [exit]simplify:  Simplified to (exp (/ (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (sin x))) (+ (* (pow (cos x) 3) (/ x (sin x))) (/ x (sin x)))))
* * * * [misc]progress:  [ 52 / 154 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (* (/ (/ (* (* (sin x) (sin x)) (sin x)) (* (* (/ x (sin x)) (/ x (sin x))) (/ x (sin x)))) (* (* (+ 1 (pow (cos x) 3)) (+ 1 (pow (cos x) 3))) (+ 1 (pow (cos x) 3)))) (* (* (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))))>
* [enter]simplify:  Simplifying (* (/ (/ (* (* (sin x) (sin x)) (sin x)) (* (* (/ x (sin x)) (/ x (sin x))) (/ x (sin x)))) (* (* (+ 1 (pow (cos x) 3)) (+ 1 (pow (cos x) 3))) (+ 1 (pow (cos x) 3)))) (* (* (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (81 enodes)
* * [misc]simplify:  iters left: 4 (331 enodes)
* [exit]simplify:  Simplified to (* (/ (* (/ (* (sin x) (sin x)) (/ x (sin x))) (/ (* (sin x) (sin x)) (/ (* x x) (sin x)))) (pow (+ 1 (pow (cos x) 3)) 3)) (pow (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x) 3))
* [exit]simplify:  Simplified to (* (/ (* (/ (* (sin x) (sin x)) (/ x (sin x))) (/ (* (sin x) (sin x)) (/ (* x x) (sin x)))) (pow (+ 1 (pow (cos x) 3)) 3)) (pow (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x) 3))
* * * * [misc]progress:  [ 53 / 154 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (* (/ (* (* (/ (sin x) (/ x (sin x))) (/ (sin x) (/ x (sin x)))) (/ (sin x) (/ x (sin x)))) (* (* (+ 1 (pow (cos x) 3)) (+ 1 (pow (cos x) 3))) (+ 1 (pow (cos x) 3)))) (* (* (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))))>
* [enter]simplify:  Simplifying (* (/ (* (* (/ (sin x) (/ x (sin x))) (/ (sin x) (/ x (sin x)))) (/ (sin x) (/ x (sin x)))) (* (* (+ 1 (pow (cos x) 3)) (+ 1 (pow (cos x) 3))) (+ 1 (pow (cos x) 3)))) (* (* (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (76 enodes)
* * [misc]simplify:  iters left: 4 (303 enodes)
* [exit]simplify:  Simplified to (* (pow (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) 3) (pow (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x) 3))
* [exit]simplify:  Simplified to (* (pow (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) 3) (pow (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x) 3))
* * * * [misc]progress:  [ 54 / 154 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (* (* (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3)))) (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3)))) (* (* (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))))>
* [enter]simplify:  Simplifying (* (* (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3)))) (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3)))) (* (* (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (205 enodes)
* [exit]simplify:  Simplified to (* (pow (/ (/ (sin x) (/ x (sin x))) (+ (pow (cos x) 3) 1)) 3) (pow (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x) 3))
* [exit]simplify:  Simplified to (* (pow (/ (/ (sin x) (/ x (sin x))) (+ (pow (cos x) 3) 1)) 3) (pow (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x) 3))
* * * * [misc]progress:  [ 55 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))) (cbrt (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))) (cbrt (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))) (cbrt (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (344 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (+ (* (pow (cos x) 3) (/ x (sin x))) (/ x (sin x))))) (cbrt (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (+ (* (pow (cos x) 3) (/ x (sin x))) (/ x (sin x))))))
* [exit]simplify:  Simplified to (* (cbrt (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (+ (* (pow (cos x) 3) (/ x (sin x))) (/ x (sin x))))) (cbrt (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (+ (* (pow (cos x) 3) (/ x (sin x))) (/ x (sin x))))))
* [enter]simplify:  Simplifying (cbrt (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (345 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (+ (/ x (sin x)) (* (pow (cos x) 3) (/ x (sin x))))))
* [exit]simplify:  Simplified to (cbrt (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (+ (/ x (sin x)) (* (pow (cos x) 3) (/ x (sin x))))))
* * * * [misc]progress:  [ 56 / 154 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (* (* (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))))>
* [enter]simplify:  Simplifying (* (* (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (160 enodes)
* [exit]simplify:  Simplified to (pow (* (/ (/ (sin x) (/ x (sin x))) (+ (pow (cos x) 3) 1)) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)) 3)
* [exit]simplify:  Simplified to (pow (* (/ (/ (sin x) (/ x (sin x))) (+ (pow (cos x) 3) 1)) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)) 3)
* * * * [misc]progress:  [ 57 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))) (sqrt (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))))>
* [enter]simplify:  Simplifying (sqrt (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (345 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (+ (/ x (sin x)) (* (pow (cos x) 3) (/ x (sin x))))))
* [exit]simplify:  Simplified to (sqrt (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (+ (/ x (sin x)) (* (pow (cos x) 3) (/ x (sin x))))))
* [enter]simplify:  Simplifying (sqrt (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (345 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (+ (/ x (sin x)) (* (pow (cos x) 3) (/ x (sin x))))))
* [exit]simplify:  Simplified to (sqrt (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (+ (/ x (sin x)) (* (pow (cos x) 3) (/ x (sin x))))))
* * * * [misc]progress:  [ 58 / 154 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (/ (sin x) (/ x (sin x))) (- (* (cos x) (cos x)) (- (cos x) 1))) (* (+ 1 (pow (cos x) 3)) x)))>
* [enter]simplify:  Simplifying (* (/ (sin x) (/ x (sin x))) (- (* (cos x) (cos x)) (- (cos x) 1)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (288 enodes)
* [exit]simplify:  Simplified to (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (* (sin x) (sin x))))
* [exit]simplify:  Simplified to (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (* (sin x) (sin x))))
* [enter]simplify:  Simplifying (* (+ 1 (pow (cos x) 3)) x)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (36 enodes)
* [exit]simplify:  Simplified to (+ (* (* (cos x) x) (* (cos x) (cos x))) x)
* [exit]simplify:  Simplified to (+ (* (* (cos x) x) (* (cos x) (cos x))) x)
* * * * [misc]progress:  [ 59 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* * * * [misc]progress:  [ 60 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (* (cbrt (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)) (cbrt (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))) (cbrt (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (* (cbrt (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)) (cbrt (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (201 enodes)
* * [misc]simplify:  iters left: 2 (476 enodes)
* [exit]simplify:  Simplified to (/ (* (* (sin x) (sin x)) (cbrt (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))) (/ (+ x (* (* (cos x) (cos x)) (* (cos x) x))) (cbrt (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))
* [exit]simplify:  Simplified to (/ (* (* (sin x) (sin x)) (cbrt (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))) (/ (+ x (* (* (cos x) (cos x)) (* (cos x) x))) (cbrt (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))
* * * * [misc]progress:  [ 61 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (sqrt (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))) (sqrt (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (sqrt (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (301 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)) (/ (/ (sin x) (/ x (sin x))) (+ (pow (cos x) 3) 1)))
* [exit]simplify:  Simplified to (* (sqrt (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)) (/ (/ (sin x) (/ x (sin x))) (+ (pow (cos x) 3) 1)))
* * * * [misc]progress:  [ 62 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) 1) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (242 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin x) (/ x (sin x))) (+ (pow (cos x) 3) 1))
* [exit]simplify:  Simplified to (/ (/ (sin x) (/ x (sin x))) (+ (pow (cos x) 3) 1))
* * * * [misc]progress:  [ 63 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (- (* (cos x) (cos x)) (- (cos x) 1))) (/ 1 x)))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (- (* (cos x) (cos x)) (- (cos x) 1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (298 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (sin x) x) (- (* (cos x) (cos x)) (- (cos x) 1))) (/ (+ (pow (cos x) 3) 1) (sin x)))
* [exit]simplify:  Simplified to (/ (* (/ (sin x) x) (- (* (cos x) (cos x)) (- (cos x) 1))) (/ (+ (pow (cos x) 3) 1) (sin x)))
* * * * [misc]progress:  [ 64 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3)))) (cbrt (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))))) (* (cbrt (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (194 enodes)
* * [misc]simplify:  iters left: 2 (433 enodes)
* [exit]simplify:  Simplified to (* (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x) (cbrt (/ (/ (sin x) (/ x (sin x))) (+ (pow (cos x) 3) 1))))
* [exit]simplify:  Simplified to (* (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x) (cbrt (/ (/ (sin x) (/ x (sin x))) (+ (pow (cos x) 3) 1))))
* * * * [misc]progress:  [ 65 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3)))) (* (sqrt (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (194 enodes)
* * [misc]simplify:  iters left: 2 (433 enodes)
* [exit]simplify:  Simplified to (* (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x) (sqrt (/ (/ (sin x) (/ x (sin x))) (+ (pow (cos x) 3) 1))))
* [exit]simplify:  Simplified to (* (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x) (sqrt (/ (/ (sin x) (/ x (sin x))) (+ (pow (cos x) 3) 1))))
* * * * [misc]progress:  [ 66 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (cbrt (/ (sin x) (/ x (sin x)))) (cbrt (/ (sin x) (/ x (sin x))))) (* (cbrt (+ 1 (pow (cos x) 3))) (cbrt (+ 1 (pow (cos x) 3))))) (* (/ (cbrt (/ (sin x) (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (/ (sin x) (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) x) (/ (cbrt (/ (sin x) (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))))
* [exit]simplify:  Simplified to (* (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) x) (/ (cbrt (/ (sin x) (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))))
* * * * [misc]progress:  [ 67 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (cbrt (/ (sin x) (/ x (sin x)))) (cbrt (/ (sin x) (/ x (sin x))))) (sqrt (+ 1 (pow (cos x) 3)))) (* (/ (cbrt (/ (sin x) (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (/ (sin x) (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) x) (/ (cbrt (/ (sin x) (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))))
* [exit]simplify:  Simplified to (* (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) x) (/ (cbrt (/ (sin x) (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))))
* * * * [misc]progress:  [ 68 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (cbrt (/ (sin x) (/ x (sin x)))) (cbrt (/ (sin x) (/ x (sin x))))) 1) (* (/ (cbrt (/ (sin x) (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (/ (sin x) (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (210 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (/ (sin x) (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ x (+ (- 1 (cos x)) (* (cos x) (cos x)))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (/ (sin x) (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ x (+ (- 1 (cos x)) (* (cos x) (cos x)))))
* * * * [misc]progress:  [ 69 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (/ (sin x) (/ x (sin x)))) (* (cbrt (+ 1 (pow (cos x) 3))) (cbrt (+ 1 (pow (cos x) 3))))) (* (/ (sqrt (/ (sin x) (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (/ (sin x) (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) x) (/ (sqrt (/ (sin x) (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))))
* [exit]simplify:  Simplified to (* (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) x) (/ (sqrt (/ (sin x) (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))))
* * * * [misc]progress:  [ 70 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (/ (sin x) (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (* (/ (sqrt (/ (sin x) (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (/ (sin x) (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) x) (/ (sqrt (/ (sin x) (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))))
* [exit]simplify:  Simplified to (* (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) x) (/ (sqrt (/ (sin x) (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))))
* * * * [misc]progress:  [ 71 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (/ (sin x) (/ x (sin x)))) 1) (* (/ (sqrt (/ (sin x) (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (/ (sin x) (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (210 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ (sin x) (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ x (+ (- 1 (cos x)) (* (cos x) (cos x)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ (sin x) (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ x (+ (- 1 (cos x)) (* (cos x) (cos x)))))
* * * * [misc]progress:  [ 72 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (/ x (sin x))) (cbrt (/ x (sin x))))) (* (cbrt (+ 1 (pow (cos x) 3))) (cbrt (+ 1 (pow (cos x) 3))))) (* (/ (/ (cbrt (sin x)) (cbrt (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (sin x)) (cbrt (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (268 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (sin x)) (cbrt (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x))
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (sin x)) (cbrt (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x))
* * * * [misc]progress:  [ 73 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (/ x (sin x))) (cbrt (/ x (sin x))))) (sqrt (+ 1 (pow (cos x) 3)))) (* (/ (/ (cbrt (sin x)) (cbrt (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (sin x)) (cbrt (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (268 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (sin x)) (cbrt (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x))
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (sin x)) (cbrt (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x))
* * * * [misc]progress:  [ 74 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (/ x (sin x))) (cbrt (/ x (sin x))))) 1) (* (/ (/ (cbrt (sin x)) (cbrt (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (sin x)) (cbrt (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (cbrt (sin x)))) (* (cbrt (/ x (sin x))) (+ 1 (pow (cos x) 3))))
* [exit]simplify:  Simplified to (/ (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (cbrt (sin x)))) (* (cbrt (/ x (sin x))) (+ 1 (pow (cos x) 3))))
* * * * [misc]progress:  [ 75 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (/ x (sin x)))) (* (cbrt (+ 1 (pow (cos x) 3))) (cbrt (+ 1 (pow (cos x) 3))))) (* (/ (/ (cbrt (sin x)) (sqrt (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (sin x)) (sqrt (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (268 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (sin x)) (sqrt (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x))
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (sin x)) (sqrt (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x))
* * * * [misc]progress:  [ 76 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (* (/ (/ (cbrt (sin x)) (sqrt (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (sin x)) (sqrt (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (268 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (sin x)) (sqrt (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x))
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (sin x)) (sqrt (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x))
* * * * [misc]progress:  [ 77 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (/ x (sin x)))) 1) (* (/ (/ (cbrt (sin x)) (sqrt (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (sin x)) (sqrt (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (cbrt (sin x)))) (* (sqrt (/ x (sin x))) (+ 1 (pow (cos x) 3))))
* [exit]simplify:  Simplified to (/ (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (cbrt (sin x)))) (* (sqrt (/ x (sin x))) (+ 1 (pow (cos x) 3))))
* * * * [misc]progress:  [ 78 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (* (cbrt (+ 1 (pow (cos x) 3))) (cbrt (+ 1 (pow (cos x) 3))))) (* (/ (/ (cbrt (sin x)) (/ x (sin x))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (sin x)) (/ x (sin x))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (349 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (* (cos x) (cos x)) (- 1 (cos x))) (cbrt (sin x))) (* (* x (/ x (sin x))) (cbrt (+ 1 (pow (cos x) 3)))))
* [exit]simplify:  Simplified to (/ (* (+ (* (cos x) (cos x)) (- 1 (cos x))) (cbrt (sin x))) (* (* x (/ x (sin x))) (cbrt (+ 1 (pow (cos x) 3)))))
* * * * [misc]progress:  [ 79 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (sqrt (+ 1 (pow (cos x) 3)))) (* (/ (/ (cbrt (sin x)) (/ x (sin x))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (sin x)) (/ x (sin x))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (349 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (* (cos x) (cos x)) (- 1 (cos x))) (cbrt (sin x))) (* (* x (/ x (sin x))) (sqrt (+ 1 (pow (cos x) 3)))))
* [exit]simplify:  Simplified to (/ (* (+ (* (cos x) (cos x)) (- 1 (cos x))) (cbrt (sin x))) (* (* x (/ x (sin x))) (sqrt (+ 1 (pow (cos x) 3)))))
* * * * [misc]progress:  [ 80 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) 1) (* (/ (/ (cbrt (sin x)) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (sin x)) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (358 enodes)
* [exit]simplify:  Simplified to (* (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (+ 1 (pow (cos x) 3))) (/ (/ (cbrt (sin x)) (/ x (sin x))) x))
* [exit]simplify:  Simplified to (* (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (+ 1 (pow (cos x) 3))) (/ (/ (cbrt (sin x)) (/ x (sin x))) x))
* * * * [misc]progress:  [ 81 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) x) (* (cbrt (+ 1 (pow (cos x) 3))) (cbrt (+ 1 (pow (cos x) 3))))) (* (/ (/ (cbrt (sin x)) (/ 1 (sin x))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (sin x)) (/ 1 (sin x))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (319 enodes)
* [exit]simplify:  Simplified to (* (* (sin x) (cbrt (sin x))) (/ (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x) (cbrt (+ 1 (pow (cos x) 3)))))
* [exit]simplify:  Simplified to (* (* (sin x) (cbrt (sin x))) (/ (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x) (cbrt (+ 1 (pow (cos x) 3)))))
* * * * [misc]progress:  [ 82 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) x) (sqrt (+ 1 (pow (cos x) 3)))) (* (/ (/ (cbrt (sin x)) (/ 1 (sin x))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (sin x)) (/ 1 (sin x))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (319 enodes)
* [exit]simplify:  Simplified to (* (* (sin x) (cbrt (sin x))) (/ (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x) (sqrt (+ 1 (pow (cos x) 3)))))
* [exit]simplify:  Simplified to (* (* (sin x) (cbrt (sin x))) (/ (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x) (sqrt (+ 1 (pow (cos x) 3)))))
* * * * [misc]progress:  [ 83 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (* (cbrt (sin x)) (cbrt (sin x))) x) 1) (* (/ (/ (cbrt (sin x)) (/ 1 (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (cbrt (sin x)) (/ 1 (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (332 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (sin x) (cbrt (sin x))) (+ 1 (pow (cos x) 3))) (/ x (- (* (cos x) (cos x)) (- (cos x) 1))))
* [exit]simplify:  Simplified to (/ (/ (* (sin x) (cbrt (sin x))) (+ 1 (pow (cos x) 3))) (/ x (- (* (cos x) (cos x)) (- (cos x) 1))))
* * * * [misc]progress:  [ 84 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sqrt (sin x)) (* (cbrt (/ x (sin x))) (cbrt (/ x (sin x))))) (* (cbrt (+ 1 (pow (cos x) 3))) (cbrt (+ 1 (pow (cos x) 3))))) (* (/ (/ (sqrt (sin x)) (cbrt (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (sin x)) (cbrt (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (268 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (sqrt (sin x)) (cbrt (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x))
* [exit]simplify:  Simplified to (* (/ (/ (sqrt (sin x)) (cbrt (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x))
* * * * [misc]progress:  [ 85 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sqrt (sin x)) (* (cbrt (/ x (sin x))) (cbrt (/ x (sin x))))) (sqrt (+ 1 (pow (cos x) 3)))) (* (/ (/ (sqrt (sin x)) (cbrt (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (sin x)) (cbrt (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (268 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (sqrt (sin x)) (cbrt (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x))
* [exit]simplify:  Simplified to (* (/ (/ (sqrt (sin x)) (cbrt (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x))
* * * * [misc]progress:  [ 86 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sqrt (sin x)) (* (cbrt (/ x (sin x))) (cbrt (/ x (sin x))))) 1) (* (/ (/ (sqrt (sin x)) (cbrt (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (sin x)) (cbrt (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (sqrt (sin x)))) (* (cbrt (/ x (sin x))) (+ 1 (pow (cos x) 3))))
* [exit]simplify:  Simplified to (/ (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (sqrt (sin x)))) (* (cbrt (/ x (sin x))) (+ 1 (pow (cos x) 3))))
* * * * [misc]progress:  [ 87 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sqrt (sin x)) (sqrt (/ x (sin x)))) (* (cbrt (+ 1 (pow (cos x) 3))) (cbrt (+ 1 (pow (cos x) 3))))) (* (/ (/ (sqrt (sin x)) (sqrt (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (sin x)) (sqrt (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (268 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (sqrt (sin x)) (sqrt (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x))
* [exit]simplify:  Simplified to (* (/ (/ (sqrt (sin x)) (sqrt (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x))
* * * * [misc]progress:  [ 88 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sqrt (sin x)) (sqrt (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (* (/ (/ (sqrt (sin x)) (sqrt (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (sin x)) (sqrt (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (268 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (sqrt (sin x)) (sqrt (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x))
* [exit]simplify:  Simplified to (* (/ (/ (sqrt (sin x)) (sqrt (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x))
* * * * [misc]progress:  [ 89 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sqrt (sin x)) (sqrt (/ x (sin x)))) 1) (* (/ (/ (sqrt (sin x)) (sqrt (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (sin x)) (sqrt (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (sqrt (sin x)))) (* (sqrt (/ x (sin x))) (+ 1 (pow (cos x) 3))))
* [exit]simplify:  Simplified to (/ (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (sqrt (sin x)))) (* (sqrt (/ x (sin x))) (+ 1 (pow (cos x) 3))))
* * * * [misc]progress:  [ 90 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sqrt (sin x)) 1) (* (cbrt (+ 1 (pow (cos x) 3))) (cbrt (+ 1 (pow (cos x) 3))))) (* (/ (/ (sqrt (sin x)) (/ x (sin x))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (sin x)) (/ x (sin x))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (349 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (* (cos x) (cos x)) (- 1 (cos x))) (sqrt (sin x))) (* (* x (/ x (sin x))) (cbrt (+ 1 (pow (cos x) 3)))))
* [exit]simplify:  Simplified to (/ (* (+ (* (cos x) (cos x)) (- 1 (cos x))) (sqrt (sin x))) (* (* x (/ x (sin x))) (cbrt (+ 1 (pow (cos x) 3)))))
* * * * [misc]progress:  [ 91 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sqrt (sin x)) 1) (sqrt (+ 1 (pow (cos x) 3)))) (* (/ (/ (sqrt (sin x)) (/ x (sin x))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (sin x)) (/ x (sin x))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (349 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (* (cos x) (cos x)) (- 1 (cos x))) (sqrt (sin x))) (* (* x (/ x (sin x))) (sqrt (+ 1 (pow (cos x) 3)))))
* [exit]simplify:  Simplified to (/ (* (+ (* (cos x) (cos x)) (- 1 (cos x))) (sqrt (sin x))) (* (* x (/ x (sin x))) (sqrt (+ 1 (pow (cos x) 3)))))
* * * * [misc]progress:  [ 92 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sqrt (sin x)) 1) 1) (* (/ (/ (sqrt (sin x)) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (sin x)) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (358 enodes)
* [exit]simplify:  Simplified to (* (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (+ 1 (pow (cos x) 3))) (/ (/ (sqrt (sin x)) (/ x (sin x))) x))
* [exit]simplify:  Simplified to (* (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (+ 1 (pow (cos x) 3))) (/ (/ (sqrt (sin x)) (/ x (sin x))) x))
* * * * [misc]progress:  [ 93 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sqrt (sin x)) x) (* (cbrt (+ 1 (pow (cos x) 3))) (cbrt (+ 1 (pow (cos x) 3))))) (* (/ (/ (sqrt (sin x)) (/ 1 (sin x))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (sin x)) (/ 1 (sin x))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (319 enodes)
* [exit]simplify:  Simplified to (* (* (sin x) (sqrt (sin x))) (/ (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x) (cbrt (+ 1 (pow (cos x) 3)))))
* [exit]simplify:  Simplified to (* (* (sin x) (sqrt (sin x))) (/ (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x) (cbrt (+ 1 (pow (cos x) 3)))))
* * * * [misc]progress:  [ 94 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sqrt (sin x)) x) (sqrt (+ 1 (pow (cos x) 3)))) (* (/ (/ (sqrt (sin x)) (/ 1 (sin x))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (sin x)) (/ 1 (sin x))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (319 enodes)
* [exit]simplify:  Simplified to (* (* (sin x) (sqrt (sin x))) (/ (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x) (sqrt (+ 1 (pow (cos x) 3)))))
* [exit]simplify:  Simplified to (* (* (sin x) (sqrt (sin x))) (/ (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x) (sqrt (+ 1 (pow (cos x) 3)))))
* * * * [misc]progress:  [ 95 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sqrt (sin x)) x) 1) (* (/ (/ (sqrt (sin x)) (/ 1 (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sqrt (sin x)) (/ 1 (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (332 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (sin x) (sqrt (sin x))) (+ 1 (pow (cos x) 3))) (/ x (- (* (cos x) (cos x)) (- (cos x) 1))))
* [exit]simplify:  Simplified to (/ (/ (* (sin x) (sqrt (sin x))) (+ 1 (pow (cos x) 3))) (/ x (- (* (cos x) (cos x)) (- (cos x) 1))))
* * * * [misc]progress:  [ 96 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ 1 (* (cbrt (/ x (sin x))) (cbrt (/ x (sin x))))) (* (cbrt (+ 1 (pow (cos x) 3))) (cbrt (+ 1 (pow (cos x) 3))))) (* (/ (/ (sin x) (cbrt (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (cbrt (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (267 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (sin x))) (* (cbrt (+ 1 (pow (cos x) 3))) (cbrt (/ x (sin x)))))
* [exit]simplify:  Simplified to (/ (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (sin x))) (* (cbrt (+ 1 (pow (cos x) 3))) (cbrt (/ x (sin x)))))
* * * * [misc]progress:  [ 97 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ 1 (* (cbrt (/ x (sin x))) (cbrt (/ x (sin x))))) (sqrt (+ 1 (pow (cos x) 3)))) (* (/ (/ (sin x) (cbrt (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (cbrt (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (267 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (sin x))) (* (sqrt (+ 1 (pow (cos x) 3))) (cbrt (/ x (sin x)))))
* [exit]simplify:  Simplified to (/ (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (sin x))) (* (sqrt (+ 1 (pow (cos x) 3))) (cbrt (/ x (sin x)))))
* * * * [misc]progress:  [ 98 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ 1 (* (cbrt (/ x (sin x))) (cbrt (/ x (sin x))))) 1) (* (/ (/ (sin x) (cbrt (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (cbrt (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (276 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (sin x))) (* (+ 1 (pow (cos x) 3)) (cbrt (/ x (sin x)))))
* [exit]simplify:  Simplified to (/ (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (sin x))) (* (+ 1 (pow (cos x) 3)) (cbrt (/ x (sin x)))))
* * * * [misc]progress:  [ 99 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ 1 (sqrt (/ x (sin x)))) (* (cbrt (+ 1 (pow (cos x) 3))) (cbrt (+ 1 (pow (cos x) 3))))) (* (/ (/ (sin x) (sqrt (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (sqrt (/ x (sin x)))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (267 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (sin x))) (* (cbrt (+ 1 (pow (cos x) 3))) (sqrt (/ x (sin x)))))
* [exit]simplify:  Simplified to (/ (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (sin x))) (* (cbrt (+ 1 (pow (cos x) 3))) (sqrt (/ x (sin x)))))
* * * * [misc]progress:  [ 100 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ 1 (sqrt (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (* (/ (/ (sin x) (sqrt (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (sqrt (/ x (sin x)))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (267 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (sin x))) (* (sqrt (+ 1 (pow (cos x) 3))) (sqrt (/ x (sin x)))))
* [exit]simplify:  Simplified to (/ (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (sin x))) (* (sqrt (+ 1 (pow (cos x) 3))) (sqrt (/ x (sin x)))))
* * * * [misc]progress:  [ 101 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ 1 (sqrt (/ x (sin x)))) 1) (* (/ (/ (sin x) (sqrt (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (sqrt (/ x (sin x)))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (276 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (sin x))) (* (+ 1 (pow (cos x) 3)) (sqrt (/ x (sin x)))))
* [exit]simplify:  Simplified to (/ (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (sin x))) (* (+ 1 (pow (cos x) 3)) (sqrt (/ x (sin x)))))
* * * * [misc]progress:  [ 102 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ 1 1) (* (cbrt (+ 1 (pow (cos x) 3))) (cbrt (+ 1 (pow (cos x) 3))))) (* (/ (/ (sin x) (/ x (sin x))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (/ x (sin x))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (337 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) x) (/ (* (/ (sin x) x) (- (* (cos x) (cos x)) (- (cos x) 1))) (cbrt (+ (pow (cos x) 3) 1))))
* [exit]simplify:  Simplified to (* (/ (sin x) x) (/ (* (/ (sin x) x) (- (* (cos x) (cos x)) (- (cos x) 1))) (cbrt (+ (pow (cos x) 3) 1))))
* * * * [misc]progress:  [ 103 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ 1 1) (sqrt (+ 1 (pow (cos x) 3)))) (* (/ (/ (sin x) (/ x (sin x))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (/ x (sin x))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (337 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) x) (/ (* (/ (sin x) x) (- (* (cos x) (cos x)) (- (cos x) 1))) (sqrt (+ (pow (cos x) 3) 1))))
* [exit]simplify:  Simplified to (* (/ (sin x) x) (/ (* (/ (sin x) x) (- (* (cos x) (cos x)) (- (cos x) 1))) (sqrt (+ (pow (cos x) 3) 1))))
* * * * [misc]progress:  [ 104 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ 1 1) 1) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (344 enodes)
* [exit]simplify:  Simplified to (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (+ (* (pow (cos x) 3) (/ x (sin x))) (/ x (sin x))))
* [exit]simplify:  Simplified to (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (+ (* (pow (cos x) 3) (/ x (sin x))) (/ x (sin x))))
* * * * [misc]progress:  [ 105 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ 1 x) (* (cbrt (+ 1 (pow (cos x) 3))) (cbrt (+ 1 (pow (cos x) 3))))) (* (/ (/ (sin x) (/ 1 (sin x))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (/ 1 (sin x))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (326 enodes)
* [exit]simplify:  Simplified to (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (* (sin x) (sin x)))) (cbrt (+ (pow (cos x) 3) 1)))
* [exit]simplify:  Simplified to (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (* (sin x) (sin x)))) (cbrt (+ (pow (cos x) 3) 1)))
* * * * [misc]progress:  [ 106 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ 1 x) (sqrt (+ 1 (pow (cos x) 3)))) (* (/ (/ (sin x) (/ 1 (sin x))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (/ 1 (sin x))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (326 enodes)
* [exit]simplify:  Simplified to (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (* (sin x) (sin x)))) (sqrt (+ (pow (cos x) 3) 1)))
* [exit]simplify:  Simplified to (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (* (sin x) (sin x)))) (sqrt (+ (pow (cos x) 3) 1)))
* * * * [misc]progress:  [ 107 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ 1 x) 1) (* (/ (/ (sin x) (/ 1 (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (/ 1 (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (333 enodes)
* [exit]simplify:  Simplified to (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (/ (+ (pow (cos x) 3) 1) (sin x)))
* [exit]simplify:  Simplified to (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (/ (+ (pow (cos x) 3) 1) (sin x)))
* * * * [misc]progress:  [ 108 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ 1 (* (cbrt (+ 1 (pow (cos x) 3))) (cbrt (+ 1 (pow (cos x) 3))))) (* (/ (/ (sin x) (/ x (sin x))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (/ x (sin x))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (337 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) x) (/ (* (/ (sin x) x) (- (* (cos x) (cos x)) (- (cos x) 1))) (cbrt (+ (pow (cos x) 3) 1))))
* [exit]simplify:  Simplified to (* (/ (sin x) x) (/ (* (/ (sin x) x) (- (* (cos x) (cos x)) (- (cos x) 1))) (cbrt (+ (pow (cos x) 3) 1))))
* * * * [misc]progress:  [ 109 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ 1 (sqrt (+ 1 (pow (cos x) 3)))) (* (/ (/ (sin x) (/ x (sin x))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (/ x (sin x))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (337 enodes)
* [exit]simplify:  Simplified to (* (/ (sin x) x) (/ (* (/ (sin x) x) (- (* (cos x) (cos x)) (- (cos x) 1))) (sqrt (+ (pow (cos x) 3) 1))))
* [exit]simplify:  Simplified to (* (/ (sin x) x) (/ (* (/ (sin x) x) (- (* (cos x) (cos x)) (- (cos x) 1))) (sqrt (+ (pow (cos x) 3) 1))))
* * * * [misc]progress:  [ 110 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ 1 1) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (344 enodes)
* [exit]simplify:  Simplified to (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (+ (* (pow (cos x) 3) (/ x (sin x))) (/ x (sin x))))
* [exit]simplify:  Simplified to (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (+ (* (pow (cos x) 3) (/ x (sin x))) (/ x (sin x))))
* * * * [misc]progress:  [ 111 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sin x) (* (cbrt (+ 1 (pow (cos x) 3))) (cbrt (+ 1 (pow (cos x) 3))))) (* (/ (/ 1 (/ x (sin x))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (/ x (sin x))) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (337 enodes)
* [exit]simplify:  Simplified to (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (* (/ x (sin x)) x)) (cbrt (+ 1 (pow (cos x) 3))))
* [exit]simplify:  Simplified to (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (* (/ x (sin x)) x)) (cbrt (+ 1 (pow (cos x) 3))))
* * * * [misc]progress:  [ 112 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sin x) (sqrt (+ 1 (pow (cos x) 3)))) (* (/ (/ 1 (/ x (sin x))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (/ x (sin x))) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (337 enodes)
* [exit]simplify:  Simplified to (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (* (/ x (sin x)) x)) (sqrt (+ 1 (pow (cos x) 3))))
* [exit]simplify:  Simplified to (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (* (/ x (sin x)) x)) (sqrt (+ 1 (pow (cos x) 3))))
* * * * [misc]progress:  [ 113 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sin x) 1) (* (/ (/ 1 (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ 1 (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (344 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (sin x) x) (+ (- 1 (cos x)) (* (cos x) (cos x)))) (* (+ 1 (pow (cos x) 3)) x))
* [exit]simplify:  Simplified to (/ (* (/ (sin x) x) (+ (- 1 (cos x)) (* (cos x) (cos x)))) (* (+ 1 (pow (cos x) 3)) x))
* * * * [misc]progress:  [ 114 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) x) (* (cbrt (+ 1 (pow (cos x) 3))) (cbrt (+ 1 (pow (cos x) 3))))) (* (/ (sin x) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (sin x) (cbrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (sin x) x) (+ (* (cos x) (cos x)) (- 1 (cos x)))) (cbrt (+ (pow (cos x) 3) 1)))
* [exit]simplify:  Simplified to (/ (* (/ (sin x) x) (+ (* (cos x) (cos x)) (- 1 (cos x)))) (cbrt (+ (pow (cos x) 3) 1)))
* * * * [misc]progress:  [ 115 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) x) (sqrt (+ 1 (pow (cos x) 3)))) (* (/ (sin x) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (sin x) (sqrt (+ 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (sin x) x) (+ (* (cos x) (cos x)) (- 1 (cos x)))) (sqrt (+ (pow (cos x) 3) 1)))
* [exit]simplify:  Simplified to (/ (* (/ (sin x) x) (+ (* (cos x) (cos x)) (- 1 (cos x)))) (sqrt (+ (pow (cos x) 3) 1)))
* * * * [misc]progress:  [ 116 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) x) 1) (* (/ (sin x) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (sin x) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (202 enodes)
* [exit]simplify:  Simplified to (/ (* (sin x) (+ (* (cos x) (cos x)) (- 1 (cos x)))) (* x (+ (pow (cos x) 3) 1)))
* [exit]simplify:  Simplified to (/ (* (sin x) (+ (* (cos x) (cos x)) (- 1 (cos x)))) (* x (+ (pow (cos x) 3) 1)))
* * * * [misc]progress:  [ 117 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (344 enodes)
* [exit]simplify:  Simplified to (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (+ (* (pow (cos x) 3) (/ x (sin x))) (/ x (sin x))))
* [exit]simplify:  Simplified to (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (+ (* (pow (cos x) 3) (/ x (sin x))) (/ x (sin x))))
* * * * [misc]progress:  [ 118 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sin x) (/ x (sin x))) (* (/ 1 (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (/ 1 (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* [exit]simplify:  Simplified to (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (* (+ 1 (pow (cos x) 3)) x))
* [exit]simplify:  Simplified to (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (* (+ 1 (pow (cos x) 3)) x))
* * * * [misc]progress:  [ 119 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ (pow 1 3) (pow (pow (cos x) 3) 3))) (* (+ (* 1 1) (- (* (pow (cos x) 3) (pow (cos x) 3)) (* 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (+ (* 1 1) (- (* (pow (cos x) 3) (pow (cos x) 3)) (* 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (123 enodes)
* * [misc]simplify:  iters left: 3 (453 enodes)
* [exit]simplify:  Simplified to (* (+ (- 1 (pow (cos x) 3)) (* (pow (cos x) 3) (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* [exit]simplify:  Simplified to (* (+ (- 1 (pow (cos x) 3)) (* (pow (cos x) 3) (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * * * [misc]progress:  [ 120 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (- (* 1 1) (* (pow (cos x) 3) (pow (cos x) 3)))) (* (- 1 (pow (cos x) 3)) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))))>
* [enter]simplify:  Simplifying (* (- 1 (pow (cos x) 3)) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (204 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) x) (- 1 (pow (cos x) 3)))
* [exit]simplify:  Simplified to (* (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) x) (- 1 (pow (cos x) 3)))
* * * * [misc]progress:  [ 121 / 154 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (- (* (cos x) (cos x)) (- (cos x) 1))) x))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (- (* (cos x) (cos x)) (- (cos x) 1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (298 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (sin x) x) (- (* (cos x) (cos x)) (- (cos x) 1))) (/ (+ (pow (cos x) 3) 1) (sin x)))
* [exit]simplify:  Simplified to (/ (* (/ (sin x) x) (- (* (cos x) (cos x)) (- (cos x) 1))) (/ (+ (pow (cos x) 3) 1) (sin x)))
* * * * [misc]progress:  [ 122 / 154 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (/ (sin x) (/ x (sin x))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)) (+ 1 (pow (cos x) 3))))>
* [enter]simplify:  Simplifying (* (/ (sin x) (/ x (sin x))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (250 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) (* (/ x (sin x)) (/ x (sin x))))
* [exit]simplify:  Simplified to (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) (* (/ x (sin x)) (/ x (sin x))))
* * * * [misc]progress:  [ 123 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x) (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3)))))>
* * * * [misc]progress:  [ 124 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (exp (* (log (cos x)) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (* (log (cos x)) 3)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (* (log (cos x)) 3)
* [exit]simplify:  Simplified to (* (log (cos x)) 3)
* * * * [misc]progress:  [ 125 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (exp (* (log (cos x)) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (* (log (cos x)) 3)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to (* (log (cos x)) 3)
* [exit]simplify:  Simplified to (* (log (cos x)) 3)
* * * * [misc]progress:  [ 126 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) (* 1 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (* 1 3)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to 3
* [exit]simplify:  Simplified to 3
* * * * [misc]progress:  [ 127 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (* (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (pow (cbrt (cos x)) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (pow (* (cbrt (cos x)) (cbrt (cos x))) 3)
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (* (cos x) (cos x))
* [exit]simplify:  Simplified to (* (cos x) (cos x))
* [enter]simplify:  Simplifying (pow (cbrt (cos x)) 3)
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (cos x)
* [exit]simplify:  Simplified to (cos x)
* * * * [misc]progress:  [ 128 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (* (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (pow (sqrt (cos x)) 3)
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cos x)) (cos x))
* [exit]simplify:  Simplified to (* (sqrt (cos x)) (cos x))
* [enter]simplify:  Simplifying (pow (sqrt (cos x)) 3)
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cos x)) (cos x))
* [exit]simplify:  Simplified to (* (sqrt (cos x)) (cos x))
* * * * [misc]progress:  [ 129 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (* (pow 1 3) (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (pow 1 3)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (pow (cos x) 3)
* * [misc]simplify:  iters left: 2 (4 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to (pow (cos x) 3)
* [exit]simplify:  Simplified to (pow (cos x) 3)
* * * * [misc]progress:  [ 130 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (* (* (cos x) (cos x)) (cos x)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) 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:  [ 131 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (pow (cos x) 3) 1))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* * * * [misc]progress:  [ 132 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (exp (log (pow (cos x) 3))))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (log (pow (cos x) 3))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (10 enodes)
* * [misc]simplify:  iters left: 1 (14 enodes)
* [exit]simplify:  Simplified to (* 3 (log (cos x)))
* [exit]simplify:  Simplified to (* 3 (log (cos x)))
* * * * [misc]progress:  [ 133 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (log (exp (pow (cos x) 3))))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (exp (pow (cos x) 3))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (exp (pow (cos x) 3))
* [exit]simplify:  Simplified to (exp (pow (cos x) 3))
* * * * [misc]progress:  [ 134 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (* (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))) (cbrt (pow (cos x) 3))))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3)))
* * [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 (* (cos x) (cos x))
* [exit]simplify:  Simplified to (* (cos x) (cos x))
* [enter]simplify:  Simplifying (cbrt (pow (cos x) 3))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* * [misc]simplify:  iters left: 1 (12 enodes)
* [exit]simplify:  Simplified to (cos x)
* [exit]simplify:  Simplified to (cos x)
* * * * [misc]progress:  [ 135 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (cbrt (* (* (pow (cos x) 3) (pow (cos x) 3)) (pow (cos x) 3))))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (* (* (pow (cos x) 3) (pow (cos x) 3)) (pow (cos x) 3))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (pow (pow (cos x) 3) 3)
* [exit]simplify:  Simplified to (pow (pow (cos x) 3) 3)
* * * * [misc]progress:  [ 136 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (* (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (pow (cbrt (cos x)) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (pow (* (cbrt (cos x)) (cbrt (cos x))) 3)
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (* (cos x) (cos x))
* [exit]simplify:  Simplified to (* (cos x) (cos x))
* [enter]simplify:  Simplifying (pow (cbrt (cos x)) 3)
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (cos x)
* [exit]simplify:  Simplified to (cos x)
* * * * [misc]progress:  [ 137 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (* (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (pow (sqrt (cos x)) 3)
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cos x)) (cos x))
* [exit]simplify:  Simplified to (* (sqrt (cos x)) (cos x))
* [enter]simplify:  Simplifying (pow (sqrt (cos x)) 3)
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cos x)) (cos x))
* [exit]simplify:  Simplified to (* (sqrt (cos x)) (cos x))
* * * * [misc]progress:  [ 138 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (* (pow 1 3) (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (pow 1 3)
* * [misc]simplify:  iters left: 1 (3 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (pow (cos x) 3)
* * [misc]simplify:  iters left: 2 (4 enodes)
* * [misc]simplify:  iters left: 1 (7 enodes)
* [exit]simplify:  Simplified to (pow (cos x) 3)
* [exit]simplify:  Simplified to (pow (cos x) 3)
* * * * [misc]progress:  [ 139 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (* (cos x) (* (cos x) (cos x))))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) 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:  [ 140 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (* (* (cos x) (cos x)) (cos x)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* * * * [misc]progress:  [ 141 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (* (sqrt (pow (cos x) 3)) (sqrt (pow (cos x) 3))))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (sqrt (pow (cos x) 3))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (pow (cos x) 3))
* [exit]simplify:  Simplified to (sqrt (pow (cos x) 3))
* [enter]simplify:  Simplifying (sqrt (pow (cos x) 3))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (pow (cos x) 3))
* [exit]simplify:  Simplified to (sqrt (pow (cos x) 3))
* * * * [misc]progress:  [ 142 / 154 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (* 1 (pow (cos x) 3)))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* * * * [misc]progress:  [ 143 / 154 ] simplifiying candidate #<alt-event (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (* 1/24 (pow x 4)) (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))))) x)))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (* 1/24 (pow x 4)) (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))))) x))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (134 enodes)
* * [misc]simplify:  iters left: 3 (496 enodes)
* [exit]simplify:  Simplified to (/ (/ (- (+ (* (pow x 6) 1/720) (* (cos x) (cos x))) (- (* 1/24 (pow x 4)) (* 1/2 (* x x)))) (+ (/ x (sin x)) (* (/ x (sin x)) (pow (cos x) 3)))) (/ x (sin x)))
* * * * [misc]progress:  [ 144 / 154 ] simplifiying candidate #<alt-event (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (344 enodes)
* [exit]simplify:  Simplified to (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (+ (* (pow (cos x) 3) (/ x (sin x))) (/ x (sin x))))
* * * * [misc]progress:  [ 145 / 154 ] simplifiying candidate #<alt-event (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (344 enodes)
* [exit]simplify:  Simplified to (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (+ (* (pow (cos x) 3) (/ x (sin x))) (/ x (sin x))))
* * * * [misc]progress:  [ 146 / 154 ] simplifiying candidate #<alt-event (λ (x) (* (/ (- (+ x (* 2/45 (pow x 5))) (* 1/3 (pow x 3))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (* (/ (- (+ x (* 2/45 (pow x 5))) (* 1/3 (pow x 3))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (119 enodes)
* * [misc]simplify:  iters left: 3 (323 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (* (pow x 5) 2/45) (- x (* (* x x) (* x 1/3)))) (+ (pow (cos x) 3) 1)) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * * * [misc]progress:  [ 147 / 154 ] simplifiying candidate #<alt-event (λ (x) (* (/ (/ (pow (sin x) 2) x) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (* (/ (/ (pow (sin x) 2) x) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (344 enodes)
* [exit]simplify:  Simplified to (/ (* (* (/ (sin x) x) (sin x)) (+ (- 1 (cos x)) (* (cos x) (cos x)))) (+ (* (* (cos x) (cos x)) (* (cos x) x)) x))
* * * * [misc]progress:  [ 148 / 154 ] simplifiying candidate #<alt-event (λ (x) (* (/ (/ (pow (sin x) 2) x) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (* (/ (/ (pow (sin x) 2) x) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (344 enodes)
* [exit]simplify:  Simplified to (/ (* (* (/ (sin x) x) (sin x)) (+ (- 1 (cos x)) (* (cos x) (cos x)))) (+ (* (* (cos x) (cos x)) (* (cos x) x)) x))
* * * * [misc]progress:  [ 149 / 154 ] simplifiying candidate #<alt-event (λ (x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))>
* [enter]simplify:  Simplifying (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (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 (57 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (- (* (pow x 4) 1/720) (- (* (* x 1/24) x) 1/2))
* * * * [misc]progress:  [ 150 / 154 ] simplifiying candidate #<alt-event (λ (x) (/ (* (pow (sin x) 2) (- (+ (pow (cos x) 2) 1) (cos x))) (* (pow x 2) (+ (pow (cos x) 3) 1))))>
* [enter]simplify:  Simplifying (/ (* (pow (sin x) 2) (- (+ (pow (cos x) 2) 1) (cos x))) (* (pow x 2) (+ (pow (cos x) 3) 1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (468 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (sin x) (/ x (sin x))) (+ (* (cos x) (cos x)) (- 1 (cos x)))) (+ (* (* (cos x) (cos x)) (* (cos x) x)) x))
* * * * [misc]progress:  [ 151 / 154 ] simplifiying candidate #<alt-event (λ (x) (/ (* (pow (sin x) 2) (- (+ (pow (cos x) 2) 1) (cos x))) (* (pow x 2) (+ (pow (cos x) 3) 1))))>
* [enter]simplify:  Simplifying (/ (* (pow (sin x) 2) (- (+ (pow (cos x) 2) 1) (cos x))) (* (pow x 2) (+ (pow (cos x) 3) 1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (468 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (sin x) (/ x (sin x))) (+ (* (cos x) (cos x)) (- 1 (cos x)))) (+ (* (* (cos x) (cos x)) (* (cos x) x)) x))
* * * * [misc]progress:  [ 152 / 154 ] simplifiying candidate #<alt-event (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (- (+ (* 7/8 (pow x 4)) 1) (* 3/2 (pow x 2))))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (- (+ (* 7/8 (pow x 4)) 1) (* 3/2 (pow x 2))))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (139 enodes)
* * [misc]simplify:  iters left: 3 (457 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (/ x (sin x))) (/ x (sin x))) (- (+ (* (pow x 4) 7/8) (+ 1 1)) (* (* x x) 3/2)))
* * * * [misc]progress:  [ 153 / 154 ] simplifiying candidate #<alt-event (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (344 enodes)
* [exit]simplify:  Simplified to (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (+ (* (pow (cos x) 3) (/ x (sin x))) (/ x (sin x))))
* * * * [misc]progress:  [ 154 / 154 ] simplifiying candidate #<alt-event (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>
* [enter]simplify:  Simplifying (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (344 enodes)
* [exit]simplify:  Simplified to (/ (/ (- (* (cos x) (cos x)) (- (cos x) 1)) (/ x (sin x))) (+ (* (pow (cos x) 3) (/ x (sin x))) (/ x (sin x))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (* (sin x) (tan (/ x 2)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin x) (tan (/ x 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin x) (tan (/ x 2))) 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 (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (* 0 1/2) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin x) (tan (/ x 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin x) (tan (/ x 2))) 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 (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (* 0 1/2) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/24 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* (- 1/6) 1/2)))) into -1/24
* [misc]backup-simplify:  Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2))
* [misc]backup-simplify:  Simplify (/ -1/48 (sqrt 1/2)) into (/ -1/48 (sqrt 1/2))
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
* [misc]backup-simplify:  Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/240
* [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 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* (- 1/6) 0) (* 0 1/2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 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 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/240 (/ 0 1)))) 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 (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* (- 1/6) 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720
* [misc]backup-simplify:  Simplify (/ (- 1/720 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))
* [misc]backup-simplify:  Simplify (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (pow x 5)) (+ (* (/ -1/48 (sqrt 1/2)) (pow x 3)) (* (sqrt 1/2) x))) into (- (+ (* x (sqrt 1/2)) (* 1/1440 (/ (pow x 5) (sqrt 1/2)))) (+ (* 1/4608 (/ (pow x 5) (pow (sqrt 1/2) 3))) (* 1/48 (/ (pow x 3) (sqrt 1/2)))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2))) 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 (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2))) 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 (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x))))) into (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2))) 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 (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2))) 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 (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x)))))) into (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (* (sin x) (tan (/ x 2)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin x) (tan (/ x 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin x) (tan (/ x 2))) 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 (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (* 0 1/2) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin x) (tan (/ x 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin x) (tan (/ x 2))) 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 (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (* 0 1/2) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/24 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* (- 1/6) 1/2)))) into -1/24
* [misc]backup-simplify:  Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2))
* [misc]backup-simplify:  Simplify (/ -1/48 (sqrt 1/2)) into (/ -1/48 (sqrt 1/2))
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
* [misc]backup-simplify:  Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/240
* [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 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* (- 1/6) 0) (* 0 1/2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 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 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/240 (/ 0 1)))) 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 (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* (- 1/6) 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720
* [misc]backup-simplify:  Simplify (/ (- 1/720 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))
* [misc]backup-simplify:  Simplify (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (pow x 5)) (+ (* (/ -1/48 (sqrt 1/2)) (pow x 3)) (* (sqrt 1/2) x))) into (- (+ (* x (sqrt 1/2)) (* 1/1440 (/ (pow x 5) (sqrt 1/2)))) (+ (* 1/4608 (/ (pow x 5) (pow (sqrt 1/2) 3))) (* 1/48 (/ (pow x 3) (sqrt 1/2)))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2))) 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 (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2))) 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 (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x))))) into (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2))) 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 (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2))) 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 (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x)))))) into (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (sin x) (tan (/ x 2)))) x) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin x) (tan (/ x 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin x) (tan (/ x 2))) 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 (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (* 0 1/2) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
* [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 (/ (sqrt 1/2) 1) into (sqrt 1/2)
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (sin x) (tan (/ x 2)))) x) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin x) (tan (/ x 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin x) (tan (/ x 2))) 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 (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (* 0 1/2) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
* [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 (/ (sqrt 1/2) 1) into (sqrt 1/2)
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (sin x) (tan (/ x 2)))) x) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin x) (tan (/ x 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin x) (tan (/ x 2))) 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 (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (* 0 1/2) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
* [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 (/ (sqrt 1/2) 1) into (sqrt 1/2)
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (sin x) (tan (/ x 2)))) x) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin x) (tan (/ x 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin x) (tan (/ x 2))) 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 (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (* 0 1/2) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
* [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 (/ (sqrt 1/2) 1) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
* [misc]backup-simplify:  Simplify (pow (sqrt 1/2) 2) into (pow (sqrt 1/2) 2)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/24 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* (- 1/6) 1/2)))) into -1/24
* [misc]backup-simplify:  Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2))
* [misc]backup-simplify:  Simplify (- (/ (/ -1/48 (sqrt 1/2)) 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/48 (/ 1 (sqrt 1/2))))
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/24 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* (- 1/6) 1/2)))) into -1/24
* [misc]backup-simplify:  Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2))
* [misc]backup-simplify:  Simplify (- (/ (/ -1/48 (sqrt 1/2)) 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/48 (/ 1 (sqrt 1/2))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt 1/2) (- (* 1/48 (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (sqrt 1/2)))) into (- 1/24)
* [misc]backup-simplify:  Simplify (- 1/24) into -1/24
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
* [misc]backup-simplify:  Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/240
* [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 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* (- 1/6) 0) (* 0 1/2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
* [misc]backup-simplify:  Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/240
* [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 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* (- 1/6) 0) (* 0 1/2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 (- (* 1/48 (/ 1 (sqrt 1/2))))) (+ (* (- (* 1/48 (/ 1 (sqrt 1/2)))) 0) (* 0 (sqrt 1/2))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 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 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/240 (/ 0 1)))) 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 (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* (- 1/6) 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720
* [misc]backup-simplify:  Simplify (/ (- 1/720 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3))))
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 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 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/240 (/ 0 1)))) 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 (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* (- 1/6) 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720
* [misc]backup-simplify:  Simplify (/ (- 1/720 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt 1/2) (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3))))) (+ (* 0 0) (+ (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (- (* 1/48 (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) (sqrt 1/2)))))) 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)) (pow (sqrt 1/2) 2))) into (- (+ (pow (sqrt 1/2) 2) (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) (/ 1 x)) (/ (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) (/ 1 x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) (/ 1 x)) (/ (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2))) 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 (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [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 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) 1) into (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2))) 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 (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [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 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) 1) into (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) (/ 1 x)) (/ (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) (/ 1 x))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2))) 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 (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [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 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) 1) into (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2))) 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 (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [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 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) 1) into (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (* (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) 0) (* 0 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) 0) (+ (* 0 0) (* 0 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) 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 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) 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 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) 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 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) 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 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) 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 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 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 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) 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 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 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 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) (/ 1 (- x))) (/ (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) (/ 1 (- x)))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) (/ 1 (- x))) (/ (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2))) 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 (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [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 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) -1) into (* -1 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2))) 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 (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [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 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) -1) into (* -1 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) (/ 1 (- x))) (/ (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) (/ 1 (- x)))) in x
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2))) 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 (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [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 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) -1) into (* -1 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2))) 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 (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [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 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) -1) into (* -1 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))
* [misc]backup-simplify:  Simplify (* (* -1 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) (* -1 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
* [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 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) (/ 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 (- (/ 0 -1) (+ (* (* -1 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) 0) (* 0 (* -1 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) 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 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) 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 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) 0) (+ (* 0 0) (* 0 (* -1 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) 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 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) 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 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) 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 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) 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 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) 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 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) 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 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -1 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) 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 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 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 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) 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 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 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 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2)))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (* (sin x) (tan (/ x 2)))) x) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (sin x) (tan (/ x 2)))) x) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin x) (tan (/ x 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin x) (tan (/ x 2))) 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 (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (* 0 1/2) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
* [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 (/ (sqrt 1/2) 1) into (sqrt 1/2)
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (sin x) (tan (/ x 2)))) x) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin x) (tan (/ x 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin x) (tan (/ x 2))) 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 (tan (/ x 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ x 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ x 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (* 0 1/2) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 1/2)) into 1/2
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1/24) (+ (* 1 0) (* 0 1/2))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
* [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 (/ (sqrt 1/2) 1) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (sqrt 1/2) into (sqrt 1/2)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/24 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1/24) (+ (* 0 0) (* (- 1/6) 1/2)))) into -1/24
* [misc]backup-simplify:  Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2))
* [misc]backup-simplify:  Simplify (- (/ (/ -1/48 (sqrt 1/2)) 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/48 (/ 1 (sqrt 1/2))))
* [misc]backup-simplify:  Simplify (- (* 1/48 (/ 1 (sqrt 1/2)))) into (- (* 1/48 (/ 1 (sqrt 1/2))))
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
* [misc]backup-simplify:  Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/240
* [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 1/240) (+ (* 1 0) (+ (* 0 1/24) (+ (* (- 1/6) 0) (* 0 1/2))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1/2 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 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 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/384 1)) (* 1/24 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/240 (/ 0 1)))) 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 (+ (* 0 0) (+ (* 1 1/240) (+ (* 0 0) (+ (* (- 1/6) 1/24) (+ (* 0 0) (* 1/120 1/2)))))) into 1/720
* [misc]backup-simplify:  Simplify (/ (- 1/720 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3))))
* [misc]backup-simplify:  Simplify (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 4)) (+ (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (pow x 2)) (sqrt 1/2))) into (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3)))))
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) (/ 1 x)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2))) 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 (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [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 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) 1) into (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) (/ 1 x)) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 x)) (tan (/ (/ 1 x) 2))) 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 (tan (/ (/ 1 x) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ 1 x)) (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [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 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) 1) into (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) 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 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 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 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) 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 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 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 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) 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 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 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 (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x))))) (/ 1 x)) into (* (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) (/ 1 x))
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) (/ 1 (- x))) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2))) 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 (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [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 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) -1) into (* -1 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) (/ 1 (- x))) in x
* [misc]taylor:  Taking taylor expansion of (sqrt (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2)))) in x
* [misc]taylor:  Taking taylor expansion of (* (sin (/ 1 (- x))) (tan (/ (/ 1 (- x)) 2))) 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 (tan (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2)))
* [misc]taylor:  Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x))
* [misc]backup-simplify:  Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (* (sin (/ -1 x)) (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into 0
* [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 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) -1) into (* -1 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))
* [misc]backup-simplify:  Simplify (* -1 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into (* -1 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))
* [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 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) 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 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) 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 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) 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 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 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 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) 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 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 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 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) 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 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 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 (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))))) (/ 1 (- x))) into (* (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) (/ 1 x))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (pow (* (sin x) (tan (/ x 2))) 1/2) x)))>
* * * * [misc]progress:  [ 2 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (pow (sqrt (* (sin x) (tan (/ x 2)))) 1) x)))>
* * * * [misc]progress:  [ 3 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (exp (log (sqrt (* (sin x) (tan (/ x 2)))))) x)))>
* [enter]simplify:  Simplifying (log (sqrt (* (sin x) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (log (sqrt (* (sin x) (tan (/ x 2)))))
* [exit]simplify:  Simplified to (log (sqrt (* (sin x) (tan (/ x 2)))))
* * * * [misc]progress:  [ 4 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (log (exp (sqrt (* (sin x) (tan (/ x 2)))))) x)))>
* [enter]simplify:  Simplifying (exp (sqrt (* (sin x) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (* (sin x) (tan (/ x 2)))))
* [exit]simplify:  Simplified to (exp (sqrt (* (sin x) (tan (/ x 2)))))
* * * * [misc]progress:  [ 5 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (* (* (cbrt (sqrt (* (sin x) (tan (/ x 2))))) (cbrt (sqrt (* (sin x) (tan (/ x 2)))))) (cbrt (sqrt (* (sin x) (tan (/ x 2)))))) x)))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (* (sin x) (tan (/ x 2))))) (cbrt (sqrt (* (sin x) (tan (/ x 2))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (* (sin x) (tan (/ x 2))))) (cbrt (sqrt (* (sin x) (tan (/ x 2))))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (* (sin x) (tan (/ x 2))))) (cbrt (sqrt (* (sin x) (tan (/ x 2))))))
* [enter]simplify:  Simplifying (cbrt (sqrt (* (sin x) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (* (sin x) (tan (/ x 2)))))
* [exit]simplify:  Simplified to (cbrt (sqrt (* (sin x) (tan (/ x 2)))))
* * * * [misc]progress:  [ 6 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (cbrt (* (* (sqrt (* (sin x) (tan (/ x 2)))) (sqrt (* (sin x) (tan (/ x 2))))) (sqrt (* (sin x) (tan (/ x 2)))))) x)))>
* [enter]simplify:  Simplifying (* (* (sqrt (* (sin x) (tan (/ x 2)))) (sqrt (* (sin x) (tan (/ x 2))))) (sqrt (* (sin x) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (* (* (sin x) (tan (/ x 2))) (sqrt (* (sin x) (tan (/ x 2)))))
* [exit]simplify:  Simplified to (* (* (sin x) (tan (/ x 2))) (sqrt (* (sin x) (tan (/ x 2)))))
* * * * [misc]progress:  [ 7 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (* (sqrt (sin x)) (sqrt (tan (/ x 2)))) x)))>
* [enter]simplify:  Simplifying (sqrt (sin x))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sin x))
* [exit]simplify:  Simplified to (sqrt (sin x))
* [enter]simplify:  Simplifying (sqrt (tan (/ x 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (tan (/ x 2)))
* [exit]simplify:  Simplified to (sqrt (tan (/ x 2)))
* * * * [misc]progress:  [ 8 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (/ (sqrt (* (sin x) (sin (/ x 2)))) (sqrt (cos (/ x 2)))) x)))>
* [enter]simplify:  Simplifying (sqrt (* (sin x) (sin (/ x 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (* (sin x) (sin (/ x 2))))
* [exit]simplify:  Simplified to (sqrt (* (sin x) (sin (/ x 2))))
* [enter]simplify:  Simplifying (sqrt (cos (/ x 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (cos (/ x 2)))
* [exit]simplify:  Simplified to (sqrt (cos (/ x 2)))
* * * * [misc]progress:  [ 9 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (* (sqrt (sqrt (* (sin x) (tan (/ x 2))))) (sqrt (sqrt (* (sin x) (tan (/ x 2)))))) x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* (sin x) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (sin x) (tan (/ x 2)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (* (sin x) (tan (/ x 2)))))
* [enter]simplify:  Simplifying (sqrt (sqrt (* (sin x) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (sin x) (tan (/ x 2)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (* (sin x) (tan (/ x 2)))))
* * * * [misc]progress:  [ 10 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (* 1 (sqrt (* (sin x) (tan (/ x 2))))) x)))>
* * * * [misc]progress:  [ 11 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (pow (* (sin x) (tan (/ x 2))) 1/2) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))>
* * * * [misc]progress:  [ 12 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (pow (sqrt (* (sin x) (tan (/ x 2)))) 1) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))>
* * * * [misc]progress:  [ 13 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (exp (log (sqrt (* (sin x) (tan (/ x 2)))))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))>
* [enter]simplify:  Simplifying (log (sqrt (* (sin x) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (log (sqrt (* (sin x) (tan (/ x 2)))))
* [exit]simplify:  Simplified to (log (sqrt (* (sin x) (tan (/ x 2)))))
* * * * [misc]progress:  [ 14 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (log (exp (sqrt (* (sin x) (tan (/ x 2)))))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))>
* [enter]simplify:  Simplifying (exp (sqrt (* (sin x) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (* (sin x) (tan (/ x 2)))))
* [exit]simplify:  Simplified to (exp (sqrt (* (sin x) (tan (/ x 2)))))
* * * * [misc]progress:  [ 15 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (* (cbrt (sqrt (* (sin x) (tan (/ x 2))))) (cbrt (sqrt (* (sin x) (tan (/ x 2)))))) (cbrt (sqrt (* (sin x) (tan (/ x 2)))))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (* (sin x) (tan (/ x 2))))) (cbrt (sqrt (* (sin x) (tan (/ x 2))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (* (sin x) (tan (/ x 2))))) (cbrt (sqrt (* (sin x) (tan (/ x 2))))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (* (sin x) (tan (/ x 2))))) (cbrt (sqrt (* (sin x) (tan (/ x 2))))))
* [enter]simplify:  Simplifying (cbrt (sqrt (* (sin x) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (* (sin x) (tan (/ x 2)))))
* [exit]simplify:  Simplified to (cbrt (sqrt (* (sin x) (tan (/ x 2)))))
* * * * [misc]progress:  [ 16 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (cbrt (* (* (sqrt (* (sin x) (tan (/ x 2)))) (sqrt (* (sin x) (tan (/ x 2))))) (sqrt (* (sin x) (tan (/ x 2)))))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))>
* [enter]simplify:  Simplifying (* (* (sqrt (* (sin x) (tan (/ x 2)))) (sqrt (* (sin x) (tan (/ x 2))))) (sqrt (* (sin x) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (* (* (sin x) (tan (/ x 2))) (sqrt (* (sin x) (tan (/ x 2)))))
* [exit]simplify:  Simplified to (* (* (sin x) (tan (/ x 2))) (sqrt (* (sin x) (tan (/ x 2)))))
* * * * [misc]progress:  [ 17 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (sqrt (sin x)) (sqrt (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))>
* [enter]simplify:  Simplifying (sqrt (sin x))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sin x))
* [exit]simplify:  Simplified to (sqrt (sin x))
* [enter]simplify:  Simplifying (sqrt (tan (/ x 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (tan (/ x 2)))
* [exit]simplify:  Simplified to (sqrt (tan (/ x 2)))
* * * * [misc]progress:  [ 18 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (/ (sqrt (* (sin x) (sin (/ x 2)))) (sqrt (cos (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))>
* [enter]simplify:  Simplifying (sqrt (* (sin x) (sin (/ x 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (8 enodes)
* [exit]simplify:  Simplified to (sqrt (* (sin x) (sin (/ x 2))))
* [exit]simplify:  Simplified to (sqrt (* (sin x) (sin (/ x 2))))
* [enter]simplify:  Simplifying (sqrt (cos (/ x 2)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (cos (/ x 2)))
* [exit]simplify:  Simplified to (sqrt (cos (/ x 2)))
* * * * [misc]progress:  [ 19 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* (sqrt (sqrt (* (sin x) (tan (/ x 2))))) (sqrt (sqrt (* (sin x) (tan (/ x 2)))))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* (sin x) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (sin x) (tan (/ x 2)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (* (sin x) (tan (/ x 2)))))
* [enter]simplify:  Simplifying (sqrt (sqrt (* (sin x) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (sin x) (tan (/ x 2)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (* (sin x) (tan (/ x 2)))))
* * * * [misc]progress:  [ 20 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (* 1 (sqrt (* (sin x) (tan (/ x 2))))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))>
* * * * [misc]progress:  [ 21 / 72 ] simplifiying candidate #<alt-delta (λ (x) (pow (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (+ 1 1)))>
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ 1 1)
* [exit]simplify:  Simplified to (+ 1 1)
* * * * [misc]progress:  [ 22 / 72 ] simplifiying candidate #<alt-delta (λ (x) (pow (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) 1))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) 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 (24 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (sin x) (tan (/ x 2))) x) x)
* [exit]simplify:  Simplified to (/ (/ (* (sin x) (tan (/ x 2))) x) x)
* * * * [misc]progress:  [ 23 / 72 ] simplifiying candidate #<alt-delta (λ (x) (pow (/ (sqrt (* (sin x) (tan (/ x 2)))) x) 2))>
* * * * [misc]progress:  [ 24 / 72 ] simplifiying candidate #<alt-delta (λ (x) (pow (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (+ 1 1)))>
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ 1 1)
* [exit]simplify:  Simplified to (+ 1 1)
* * * * [misc]progress:  [ 25 / 72 ] simplifiying candidate #<alt-delta (λ (x) (pow (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) 1))>
* * * * [misc]progress:  [ 26 / 72 ] simplifiying candidate #<alt-delta (λ (x) (exp (+ (log (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (log (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))))>
* [enter]simplify:  Simplifying (+ (log (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (log (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (77 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (log (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))
* [exit]simplify:  Simplified to (+ (log (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (log (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))
* * * * [misc]progress:  [ 27 / 72 ] simplifiying candidate #<alt-delta (λ (x) (exp (log (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))))>
* [enter]simplify:  Simplifying (log (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (+ (log (tan (/ x 2))) (- (log (sin x)) (+ (log x) (log x))))
* [exit]simplify:  Simplified to (+ (log (tan (/ x 2))) (- (log (sin x)) (+ (log x) (log x))))
* * * * [misc]progress:  [ 28 / 72 ] simplifiying candidate #<alt-delta (λ (x) (log (exp (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))))>
* [enter]simplify:  Simplifying (exp (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) 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 (27 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (exp (/ (/ (* (sin x) (tan (/ x 2))) x) x))
* [exit]simplify:  Simplified to (exp (/ (/ (* (sin x) (tan (/ x 2))) x) x))
* * * * [misc]progress:  [ 29 / 72 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (* (* (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (* (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))))>
* [enter]simplify:  Simplifying (* (* (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (* (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (472 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (sin x) (tan (/ x 2))) (* x x)) (* (/ (/ (* x x) (sin x)) (tan (/ x 2))) (/ (/ (* x x) (sin x)) (tan (/ x 2)))))
* [exit]simplify:  Simplified to (/ (/ (* (sin x) (tan (/ x 2))) (* x x)) (* (/ (/ (* x x) (sin x)) (tan (/ x 2))) (/ (/ (* x x) (sin x)) (tan (/ x 2)))))
* * * * [misc]progress:  [ 30 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x))) (cbrt (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))) (cbrt (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x))) (cbrt (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (/ (* (sin x) (tan (/ x 2))) x) x)) (cbrt (/ (/ (* (sin x) (tan (/ x 2))) x) x)))
* [exit]simplify:  Simplified to (* (cbrt (/ (/ (* (sin x) (tan (/ x 2))) x) x)) (cbrt (/ (/ (* (sin x) (tan (/ x 2))) x) x)))
* [enter]simplify:  Simplifying (cbrt (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (/ (* (sin x) (tan (/ x 2))) x) x))
* [exit]simplify:  Simplified to (cbrt (/ (/ (* (sin x) (tan (/ x 2))) x) x))
* * * * [misc]progress:  [ 31 / 72 ] simplifiying candidate #<alt-delta (λ (x) (cbrt (* (* (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x))) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))))>
* [enter]simplify:  Simplifying (* (* (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x))) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (161 enodes)
* * [misc]simplify:  iters left: 2 (428 enodes)
* [exit]simplify:  Simplified to (pow (/ (* (sin x) (tan (/ x 2))) (* x x)) 3)
* [exit]simplify:  Simplified to (pow (/ (* (sin x) (tan (/ x 2))) (* x x)) 3)
* * * * [misc]progress:  [ 32 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x))) (sqrt (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))))>
* [enter]simplify:  Simplifying (sqrt (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (fabs (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* [exit]simplify:  Simplified to (fabs (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* [enter]simplify:  Simplifying (sqrt (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (fabs (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* [exit]simplify:  Simplified to (fabs (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* * * * [misc]progress:  [ 33 / 72 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (sqrt (* (sin x) (tan (/ x 2)))) (sqrt (* (sin x) (tan (/ x 2))))) (* x x)))>
* [enter]simplify:  Simplifying (* (sqrt (* (sin x) (tan (/ x 2)))) (sqrt (* (sin x) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (* (sin x) (tan (/ x 2)))
* [exit]simplify:  Simplified to (* (sin x) (tan (/ x 2)))
* [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:  [ 34 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x))))>
* * * * [misc]progress:  [ 35 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (* (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))) (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (* (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x))) (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* [exit]simplify:  Simplified to (* (* (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x))) (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* * * * [misc]progress:  [ 36 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (sqrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x))) (sqrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (sqrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (sqrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))
* [exit]simplify:  Simplified to (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (sqrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))
* * * * [misc]progress:  [ 37 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) 1) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (sin x) (tan (/ x 2)))) x)
* [exit]simplify:  Simplified to (/ (sqrt (* (sin x) (tan (/ x 2)))) x)
* * * * [misc]progress:  [ 38 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (sqrt (* (sin x) (tan (/ x 2))))) (/ 1 x)))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (sqrt (* (sin x) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (9 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) (tan (/ x 2))) x)
* [exit]simplify:  Simplified to (/ (* (sin x) (tan (/ x 2))) x)
* * * * [misc]progress:  [ 39 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (* (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x))) (* (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (/ (sqrt (* (sin x) (tan (/ x 2)))) x))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* * [misc]simplify:  iters left: 6 (10 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)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))
* [exit]simplify:  Simplified to (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))
* * * * [misc]progress:  [ 40 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (* (sqrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (/ (sqrt (* (sin x) (tan (/ x 2)))) x))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* * [misc]simplify:  iters left: 6 (10 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)
* * [misc]simplify:  iters left: 1 (23 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (sqrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))
* [exit]simplify:  Simplified to (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (sqrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))
* * * * [misc]progress:  [ 41 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* 1 (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) 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 (24 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (sin x) (tan (/ x 2))) x) x)
* [exit]simplify:  Simplified to (/ (/ (* (sin x) (tan (/ x 2))) x) x)
* * * * [misc]progress:  [ 42 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (sqrt (* (sin x) (tan (/ x 2)))) (* (/ 1 x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x))))>
* [enter]simplify:  Simplifying (* (/ 1 x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (96 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (sin x) (tan (/ x 2)))) (* x x))
* [exit]simplify:  Simplified to (/ (sqrt (* (sin x) (tan (/ x 2)))) (* x x))
* * * * [misc]progress:  [ 43 / 72 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (sqrt (* (sin x) (tan (/ x 2))))) x))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (sqrt (* (sin x) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (9 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) (tan (/ x 2))) x)
* [exit]simplify:  Simplified to (/ (* (sin x) (tan (/ x 2))) x)
* * * * [misc]progress:  [ 44 / 72 ] simplifiying candidate #<alt-delta (λ (x) (/ (* (sqrt (* (sin x) (tan (/ x 2)))) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) x))>
* [enter]simplify:  Simplifying (* (sqrt (* (sin x) (tan (/ x 2)))) (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* * [misc]simplify:  iters left: 6 (9 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) (tan (/ x 2))) x)
* [exit]simplify:  Simplified to (/ (* (sin x) (tan (/ x 2))) x)
* * * * [misc]progress:  [ 45 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))>
* * * * [misc]progress:  [ 46 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (pow (/ (sqrt (* (sin x) (tan (/ x 2)))) x) 1)))>
* * * * [misc]progress:  [ 47 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (exp (log (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))))>
* [enter]simplify:  Simplifying (log (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* * [misc]simplify:  iters left: 6 (9 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 (log (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* [exit]simplify:  Simplified to (log (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* * * * [misc]progress:  [ 48 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (log (exp (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))))>
* [enter]simplify:  Simplifying (exp (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (exp (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* [exit]simplify:  Simplified to (exp (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* * * * [misc]progress:  [ 49 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (* (* (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x))) (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))
* [enter]simplify:  Simplifying (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* [exit]simplify:  Simplified to (cbrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* * * * [misc]progress:  [ 50 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (cbrt (* (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (195 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (sin x) (tan (/ x 2)))) (* (/ x (tan (/ x 2))) (* (/ x (sin x)) x)))
* [exit]simplify:  Simplified to (/ (sqrt (* (sin x) (tan (/ x 2)))) (* (/ x (tan (/ x 2))) (* (/ x (sin x)) x)))
* * * * [misc]progress:  [ 51 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (* (sqrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)) (sqrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))))>
* [enter]simplify:  Simplifying (sqrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* [enter]simplify:  Simplifying (sqrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* * * * [misc]progress:  [ 52 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (- (sqrt (* (sin x) (tan (/ x 2))))) (- x))))>
* [enter]simplify:  Simplifying (- (sqrt (* (sin x) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (- (sqrt (* (sin x) (tan (/ x 2)))))
* [exit]simplify:  Simplified to (- (sqrt (* (sin x) (tan (/ x 2)))))
* [enter]simplify:  Simplifying (- x)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (- x)
* [exit]simplify:  Simplified to (- x)
* * * * [misc]progress:  [ 53 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (* 1 (/ (sqrt (* (sin x) (tan (/ x 2)))) x))))>
* * * * [misc]progress:  [ 54 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (* (sqrt (* (sin x) (tan (/ x 2)))) (/ 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:  [ 55 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ 1 (/ x (sqrt (* (sin x) (tan (/ x 2))))))))>
* [enter]simplify:  Simplifying (/ x (sqrt (* (sin x) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ x (sqrt (* (sin x) (tan (/ x 2)))))
* [exit]simplify:  Simplified to (/ x (sqrt (* (sin x) (tan (/ x 2)))))
* * * * [misc]progress:  [ 56 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (* (cbrt (sqrt (* (sin x) (tan (/ x 2))))) (cbrt (sqrt (* (sin x) (tan (/ x 2)))))) (/ x (cbrt (sqrt (* (sin x) (tan (/ x 2)))))))))>
* [enter]simplify:  Simplifying (/ x (cbrt (sqrt (* (sin x) (tan (/ x 2))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ x (cbrt (sqrt (* (sin x) (tan (/ x 2))))))
* [exit]simplify:  Simplified to (/ x (cbrt (sqrt (* (sin x) (tan (/ x 2))))))
* * * * [misc]progress:  [ 57 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (sin x)) (/ x (sqrt (tan (/ x 2)))))))>
* [enter]simplify:  Simplifying (/ x (sqrt (tan (/ x 2))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* [exit]simplify:  Simplified to (/ x (sqrt (tan (/ x 2))))
* [exit]simplify:  Simplified to (/ x (sqrt (tan (/ x 2))))
* * * * [misc]progress:  [ 58 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (sqrt (* (sin x) (tan (/ x 2))))) (/ x (sqrt (sqrt (* (sin x) (tan (/ x 2)))))))))>
* [enter]simplify:  Simplifying (/ x (sqrt (sqrt (* (sin x) (tan (/ x 2))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ x (sqrt (sqrt (* (sin x) (tan (/ x 2))))))
* [exit]simplify:  Simplified to (/ x (sqrt (sqrt (* (sin x) (tan (/ x 2))))))
* * * * [misc]progress:  [ 59 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ 1 (/ x (sqrt (* (sin x) (tan (/ x 2))))))))>
* [enter]simplify:  Simplifying (/ x (sqrt (* (sin x) (tan (/ x 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ x (sqrt (* (sin x) (tan (/ x 2)))))
* [exit]simplify:  Simplified to (/ x (sqrt (* (sin x) (tan (/ x 2)))))
* * * * [misc]progress:  [ 60 / 72 ] simplifiying candidate #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (sin (/ x 2)))) (* x (sqrt (cos (/ x 2)))))))>
* [enter]simplify:  Simplifying (* x (sqrt (cos (/ x 2))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (7 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cos (/ x 2))) x)
* [exit]simplify:  Simplified to (* (sqrt (cos (/ x 2))) x)
* * * * [misc]progress:  [ 61 / 72 ] simplifiying candidate #<alt-event (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (- (+ (* x (sqrt 1/2)) (* 1/1440 (/ (pow x 5) (sqrt 1/2)))) (+ (* 1/4608 (/ (pow x 5) (pow (sqrt 1/2) 3))) (* 1/48 (/ (pow x 3) (sqrt 1/2))))) x)))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (- (+ (* x (sqrt 1/2)) (* 1/1440 (/ (pow x 5) (sqrt 1/2)))) (+ (* 1/4608 (/ (pow x 5) (pow (sqrt 1/2) 3))) (* 1/48 (/ (pow x 3) (sqrt 1/2))))) x))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (63 enodes)
* * [misc]simplify:  iters left: 4 (143 enodes)
* * [misc]simplify:  iters left: 3 (366 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (* (sin x) (tan (/ x 2)))) (* x x)) (- (* (- 1/1440 (/ 1/4608 1/2)) (/ (pow x 5) (sqrt 1/2))) (- (/ (* x 1/48) (/ (sqrt 1/2) (* x x))) (* (sqrt 1/2) x))))
* * * * [misc]progress:  [ 62 / 72 ] simplifiying candidate #<alt-event (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) x)))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (sin x) (/ (sin (* x 1/2)) (cos (* x 1/2))))) (/ (sqrt (* (sin x) (tan (/ x 2)))) (* x x)))
* * * * [misc]progress:  [ 63 / 72 ] simplifiying candidate #<alt-event (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) x)))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (sin x) (/ (sin (* x 1/2)) (cos (* x 1/2))))) (/ (sqrt (* (sin x) (tan (/ x 2)))) (* x x)))
* * * * [misc]progress:  [ 64 / 72 ] simplifiying candidate #<alt-event (λ (x) (* (/ (- (+ (* x (sqrt 1/2)) (* 1/1440 (/ (pow x 5) (sqrt 1/2)))) (+ (* 1/4608 (/ (pow x 5) (pow (sqrt 1/2) 3))) (* 1/48 (/ (pow x 3) (sqrt 1/2))))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))>
* [enter]simplify:  Simplifying (* (/ (- (+ (* x (sqrt 1/2)) (* 1/1440 (/ (pow x 5) (sqrt 1/2)))) (+ (* 1/4608 (/ (pow x 5) (pow (sqrt 1/2) 3))) (* 1/48 (/ (pow x 3) (sqrt 1/2))))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (63 enodes)
* * [misc]simplify:  iters left: 4 (131 enodes)
* * [misc]simplify:  iters left: 3 (317 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (/ (pow x 5) (sqrt 1/2)) (- 1/1440 (/ 1/4608 1/2))) (- (* x (sqrt 1/2)) (/ (* (* 1/48 x) (* x x)) (sqrt 1/2)))) (/ (* x x) (sqrt (* (tan (/ x 2)) (sin x)))))
* * * * [misc]progress:  [ 65 / 72 ] simplifiying candidate #<alt-event (λ (x) (* (/ (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))>
* [enter]simplify:  Simplifying (* (/ (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (* (sin x) (tan (/ x 2)))) (* x x)) (sqrt (* (sin x) (/ (sin (* x 1/2)) (cos (* x 1/2))))))
* * * * [misc]progress:  [ 66 / 72 ] simplifiying candidate #<alt-event (λ (x) (* (/ (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))>
* [enter]simplify:  Simplifying (* (/ (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (* (sin x) (tan (/ x 2)))) (* x x)) (sqrt (* (sin x) (/ (sin (* x 1/2)) (cos (* x 1/2))))))
* * * * [misc]progress:  [ 67 / 72 ] simplifiying candidate #<alt-event (λ (x) (- (+ (pow (sqrt 1/2) 2) (* 1/720 (pow x 4))) (* 1/24 (pow x 2))))>
* [enter]simplify:  Simplifying (- (+ (pow (sqrt 1/2) 2) (* 1/720 (pow x 4))) (* 1/24 (pow x 2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (101 enodes)
* [exit]simplify:  Simplified to (+ (- 1/2 (* 1/24 (* x x))) (* (pow x 4) 1/720))
* * * * [misc]progress:  [ 68 / 72 ] simplifiying candidate #<alt-event (λ (x) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (224 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin (* x 1/2)) x) (* (cos (* x 1/2)) (/ x (sin x))))
* * * * [misc]progress:  [ 69 / 72 ] simplifiying candidate #<alt-event (λ (x) (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2))))>
* [enter]simplify:  Simplifying (/ (* (sin x) (sin (* 1/2 x))) (* (cos (* 1/2 x)) (pow x 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (224 enodes)
* [exit]simplify:  Simplified to (/ (/ (sin (* x 1/2)) x) (* (cos (* x 1/2)) (/ x (sin x))))
* * * * [misc]progress:  [ 70 / 72 ] simplifiying candidate #<alt-event (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3)))))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (133 enodes)
* * [misc]simplify:  iters left: 3 (343 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (* (/ (pow x 4) (sqrt 1/2)) (- 1/1440 (/ 1/4608 1/2))) (sqrt 1/2)) (* (/ x (sqrt 1/2)) (* x 1/48))) (/ x (sqrt (* (sin x) (tan (/ x 2))))))
* * * * [misc]progress:  [ 71 / 72 ] simplifiying candidate #<alt-event (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (* (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) (/ 1 x))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (* (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) (/ 1 x)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (* (sin x) (tan (/ x 2)))) (* x x)) (sqrt (/ (sin x) (/ (cos (* x 1/2)) (sin (* x 1/2))))))
* * * * [misc]progress:  [ 72 / 72 ] simplifiying candidate #<alt-event (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (* (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) (/ 1 x))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (* (sqrt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))) (/ 1 x)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (* (sin x) (tan (/ x 2)))) (* x x)) (sqrt (/ (sin x) (/ (cos (* x 1/2)) (sin (* x 1/2))))))
* * * [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) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))> #<alt-delta (λ (x) (* (/ (sqrt (* (sin x) (tan (/ x 2)))) x) (/ (sqrt (* (sin x) (tan (/ x 2)))) x)))> #<alt-delta (λ (x) (/ (log (exp (- 1 (cos x)))) (* x x)))> #<alt-delta (λ (x) (/ (- (* 1 1) (* (cos x) (cos x))) (* (* x x) (+ 1 (cos x)))))> #<alt-delta (λ (x) (- (/ 1 (* x x)) (/ (cos x) (* x x))))> #<alt-delta (λ (x) (* (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) x) (/ (cbrt (- 1 (cos x))) x)))> #<alt-delta (λ (x) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))> #<alt-delta (λ (x) (cbrt (pow (/ (- 1 (cos x)) (* x x)) 3)))> #<alt-event (λ (x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)) +nan.0)) , with alts (#<alt-delta (λ (x) (* (/ (/ (sin x) (/ x (sin x))) (+ 1 (pow (cos x) 3))) (/ (- (* (cos x) (cos x)) (- (cos x) 1)) x)))>)
* [enter]simplify:  Simplifying (- (* (cos x) (cos x)) (- (cos x) 1))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (- (* (cos x) (cos x)) (- (cos x) 1))
* [exit]simplify:  Simplified to (- (* (cos x) (cos x)) (- (cos x) 1))
* * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
* * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 2112
* * * * [misc]points:  Setting MPFR precision to 2368
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8000 points with exact outputs