* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * [misc]progress:  [2/2] Setting up program.
* [enter]simplify:  Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (472 enodes)
* [exit]simplify:  Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* [misc]progress:  [Phase 2 of 3] Improving.
* * [misc]progress:  iteration 1 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-event (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 J) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (* 2 J) 1) into (* 2 J)
* [misc]backup-simplify:  Simplify (/ U (* 2 J)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (sqr U) (sqr J)))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (sqr U) (sqr J)))) into (+ 1 (* 1/4 (/ (sqr U) (sqr J))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (sqr U) (sqr J))))) into (sqrt (+ 1 (* 1/4 (/ (sqr U) (sqr J)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (sqr U) (sqr J))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))) into (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 J) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 J) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (sqr (cos (* 1/2 K))) (sqr J)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (sqr (cos (* 1/2 K))) (sqr J)))) into (* 1/4 (/ 1 (* (sqr (cos (* 1/2 K))) (sqr J))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (sqr (cos (* 1/2 K))) (sqr J)))) (sqr 0) (+)) (* 2 1)) into (/ 1/8 (* (sqr (cos (* 1/2 K))) (sqr J)))
* [misc]taylor:  Taking taylor expansion of (/ 1/8 (* (sqr (cos (* 1/2 K))) (sqr J))) in J
* [misc]taylor:  Taking taylor expansion of 1/8 in J
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (* (sqr (cos (* 1/2 K))) (sqr J)) in J
* [misc]taylor:  Taking taylor expansion of (sqr (cos (* 1/2 K))) in J
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (* 1/2 K) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqr J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (sqr (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (cos (* 1/2 K))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 K)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (cos (* 1/2 K))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (cos (* 1/2 K))) 1) (+ (* 0 0) (* 0 0))) into (sqr (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1/8 (sqr (cos (* 1/2 K)))) into (/ 1/8 (sqr (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (cos (* 1/2 K))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (cos (* 1/2 K)))) (+ (* (/ 1/8 (sqr (cos (* 1/2 K)))) (/ 0 (sqr (cos (* 1/2 K))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (sqr (cos (* 1/2 K))) (sqr J))))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (cos (* 1/2 K))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (cos (* 1/2 K)))) (+ (* (/ 1/8 (sqr (cos (* 1/2 K)))) (/ 0 (sqr (cos (* 1/2 K))))) (* 0 (/ 0 (sqr (cos (* 1/2 K))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [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 K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (* 1/4 (/ (sqr J) (* (sqr U) (sqr (cos (/ 1/2 K))))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (sqr J) (* (sqr U) (sqr (cos (/ 1/2 K))))))) into (+ (* 1/4 (/ (sqr J) (* (sqr U) (sqr (cos (/ 1/2 K)))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (sqr J) (* (sqr U) (sqr (cos (/ 1/2 K)))))) 1)) into (sqrt (+ (* 1/4 (/ (sqr J) (* (sqr U) (sqr (cos (/ 1/2 K)))))) 1))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ 1/2 K)) U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (sqr J) (* (sqr U) (sqr (cos (/ 1/2 K)))))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [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 (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [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 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [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 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [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 (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [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 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) 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 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (cos (/ 1/2 K))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* J (cos (/ 1/2 K)))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in K
* [misc]taylor:  Taking taylor expansion of (- U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (sqr J) (* (sqr (cos (/ -1/2 K))) (sqr U))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (sqr J) (* (sqr (cos (/ -1/2 K))) (sqr U))))) into (+ 1 (* 1/4 (/ (sqr J) (* (sqr (cos (/ -1/2 K))) (sqr U)))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (sqr J) (* (sqr (cos (/ -1/2 K))) (sqr U)))))) into (sqrt (+ 1 (* 1/4 (/ (sqr J) (* (sqr (cos (/ -1/2 K))) (sqr U))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (sqr J) (* (sqr (cos (/ -1/2 K))) (sqr U)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in J
* [misc]taylor:  Taking taylor expansion of (- U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 -1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 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 (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 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 (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in J
* [misc]taylor:  Taking taylor expansion of -1/2 in J
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in J
* [misc]taylor:  Taking taylor expansion of -1/2 in J
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 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) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [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 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) 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 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (cos (/ -1/2 K))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (/ -1/2 K)) J)))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))) in U
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 J) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 J) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 J) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 J) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (* 2 J) 1) into (* 2 J)
* [misc]backup-simplify:  Simplify (/ U (* 2 J)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (sqr U) (sqr J)))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (sqr U) (sqr J)))) into (+ 1 (* 1/4 (/ (sqr U) (sqr J))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (sqr U) (sqr J))))) into (sqrt (+ 1 (* 1/4 (/ (sqr U) (sqr J)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (sqr U) (sqr J))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))) into (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))) into (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (* -2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [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 (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 1) (* 0 0)) into -2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* -2 (cos (* 1/2 K)))) into (- (* 2 (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* (- (* 2 (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K)))))) into (- U)
* [misc]taylor:  Taking taylor expansion of (- U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [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 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))) (* 0 (/ 0 (* 2 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (- (* 2 (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))))) in U
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [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 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [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 K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [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 K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (* 1/4 (/ (sqr J) (* (sqr U) (sqr (cos (/ 1/2 K))))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (sqr J) (* (sqr U) (sqr (cos (/ 1/2 K))))))) into (+ (* 1/4 (/ (sqr J) (* (sqr U) (sqr (cos (/ 1/2 K)))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (sqr J) (* (sqr U) (sqr (cos (/ 1/2 K)))))) 1)) into (sqrt (+ (* 1/4 (/ (sqr J) (* (sqr U) (sqr (cos (/ 1/2 K)))))) 1))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ 1/2 K)) U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (sqr J) (* (sqr U) (sqr (cos (/ 1/2 K)))))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [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 (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [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 (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [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 (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [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 (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* -2 1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* (* -2 (cos (/ 1/2 K))) 1) into (* -2 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in U
* [misc]taylor:  Taking taylor expansion of 1/2 in U
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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 (+ (* -2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -2 (cos (/ 1/2 K))) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 1/2 (* (cos (/ 1/2 K)) U))) into (/ 1/4 (* (sqr (cos (/ 1/2 K))) (sqr U)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (sqr (cos (/ 1/2 K))) (sqr U)))) into (* 1/4 (/ 1 (* (sqr (cos (/ 1/2 K))) (sqr U))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (sqr (cos (/ 1/2 K))) (sqr U)))) (sqr 0) (+)) (* 2 1)) into (/ 1/8 (* (sqr (cos (/ 1/2 K))) (sqr U)))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -2 (cos (/ 1/2 K))) (/ 1/8 (* (sqr (cos (/ 1/2 K))) (sqr U)))) (+ (* 0 0) (* 0 1))) into (- (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (sqr U)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (sqr U))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (sqr U)))) in K
* [misc]taylor:  Taking taylor expansion of 1/4 in K
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (cos (/ 1/2 K)) (sqr U))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1/2 K)) (sqr U)) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqr U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* U U) into (sqr U)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (sqr U)) into (* (cos (/ 1/2 K)) (sqr U))
* [misc]backup-simplify:  Simplify (/ 1 (* (cos (/ 1/2 K)) (sqr U))) into (/ 1 (* (cos (/ 1/2 K)) (sqr U)))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (sqr U)))) into (/ 1/4 (* (cos (/ 1/2 K)) (sqr U)))
* [misc]backup-simplify:  Simplify (- (/ 1/4 (* (cos (/ 1/2 K)) (sqr U)))) into (- (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (sqr U)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (sqr U))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (sqr U)))) in U
* [misc]taylor:  Taking taylor expansion of 1/4 in U
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (cos (/ 1/2 K)) (sqr U))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1/2 K)) (sqr U)) in U
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in U
* [misc]taylor:  Taking taylor expansion of 1/2 in U
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqr U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 1) (+ (* 0 0) (* 0 0))) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) 0) (* 0 (/ 1/2 (* (cos (/ 1/2 K)) U)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (sqr (cos (/ 1/2 K))) (sqr U))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -2 (cos (/ 1/2 K))) 0) (+ (* 0 (/ 1/8 (* (sqr (cos (/ 1/2 K))) (sqr U)))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* U 0) (* 0 U)) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (sqr U))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (cos (/ 1/2 K)) (sqr U))) (/ 0 (* (cos (/ 1/2 K)) (sqr U)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ 1/2 K)) (sqr U))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) 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 (* (* -2 (cos (/ 1/2 K))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (/ 1/2 K)) J))
* [misc]approximate:  Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))))) in U
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 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 (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in K
* [misc]taylor:  Taking taylor expansion of (- U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (sqr J) (* (sqr (cos (/ -1/2 K))) (sqr U))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (sqr J) (* (sqr (cos (/ -1/2 K))) (sqr U))))) into (+ 1 (* 1/4 (/ (sqr J) (* (sqr (cos (/ -1/2 K))) (sqr U)))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (sqr J) (* (sqr (cos (/ -1/2 K))) (sqr U)))))) into (sqrt (+ 1 (* 1/4 (/ (sqr J) (* (sqr (cos (/ -1/2 K))) (sqr U))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (sqr J) (* (sqr (cos (/ -1/2 K))) (sqr U)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in J
* [misc]taylor:  Taking taylor expansion of (- U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 -1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in J
* [misc]taylor:  Taking taylor expansion of (- U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 -1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* -2 -1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* (* 2 (cos (/ -1/2 K))) 1) into (* 2 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in U
* [misc]taylor:  Taking taylor expansion of -1/2 in U
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 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 (+ (* -2 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 (cos (/ -1/2 K))) 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 1/2 (* (cos (/ -1/2 K)) U))) into (/ 1/4 (* (sqr (cos (/ -1/2 K))) (sqr U)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (sqr (cos (/ -1/2 K))) (sqr U)))) into (* 1/4 (/ 1 (* (sqr (cos (/ -1/2 K))) (sqr U))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (sqr (cos (/ -1/2 K))) (sqr U)))) (sqr 0) (+)) (* 2 1)) into (/ 1/8 (* (sqr (cos (/ -1/2 K))) (sqr U)))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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 (+ (* -2 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 (cos (/ -1/2 K))) (/ 1/8 (* (sqr (cos (/ -1/2 K))) (sqr U)))) (+ (* 0 0) (* 0 1))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (sqr U))))
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (sqr U)))) in K
* [misc]taylor:  Taking taylor expansion of 1/4 in K
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (sqr U))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1/2 K)) (sqr U)) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqr U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* U U) into (sqr U)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (sqr U)) into (* (cos (/ -1/2 K)) (sqr U))
* [misc]backup-simplify:  Simplify (/ 1 (* (cos (/ -1/2 K)) (sqr U))) into (/ 1 (* (cos (/ -1/2 K)) (sqr U)))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (sqr U)))) into (/ 1/4 (* (cos (/ -1/2 K)) (sqr U)))
* [misc]taylor:  Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (sqr U))) in U
* [misc]taylor:  Taking taylor expansion of 1/4 in U
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1/2 K)) (sqr U)) in U
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in U
* [misc]taylor:  Taking taylor expansion of -1/2 in U
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqr U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 1) (+ (* 0 0) (* 0 0))) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 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 (+ (* 2 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) 0) (* 0 (/ 1/2 (* (cos (/ -1/2 K)) U)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (sqr (cos (/ -1/2 K))) (sqr U))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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 (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 (cos (/ -1/2 K))) 0) (+ (* 0 (/ 1/8 (* (sqr (cos (/ -1/2 K))) (sqr U)))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* U 0) (* 0 U)) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (sqr U))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (sqr U))) (/ 0 (* (cos (/ -1/2 K)) (sqr U)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (sqr U))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 2 (cos (/ -1/2 K))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (/ -1/2 K)) J))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1 2)
* [misc]approximate:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 J) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (* 2 J) 1) into (* 2 J)
* [misc]backup-simplify:  Simplify (/ U (* 2 J)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 J) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]taylor:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 J) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (sqr (cos (* 1/2 K))) (sqr J)))
* [misc]taylor:  Taking taylor expansion of (/ 1/4 (* (sqr (cos (* 1/2 K))) (sqr J))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (sqr (cos (* 1/2 K))) (sqr J)) in J
* [misc]taylor:  Taking taylor expansion of (sqr (cos (* 1/2 K))) in J
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (* 1/2 K) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqr J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (sqr (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (cos (* 1/2 K))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 K)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (cos (* 1/2 K))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (cos (* 1/2 K))) 1) (+ (* 0 0) (* 0 0))) into (sqr (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1/4 (sqr (cos (* 1/2 K)))) into (/ 1/4 (sqr (cos (* 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (/ 1/4 (sqr (cos (* 1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of 1/4 in K
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (sqr (cos (* 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/4 1) into 1/4
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (cos (* 1/2 K))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (cos (* 1/2 K)))) (+ (* (/ 1/4 (sqr (cos (* 1/2 K)))) (/ 0 (sqr (cos (* 1/2 K))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (cos (* 1/2 K))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (cos (* 1/2 K)))) (+ (* (/ 1/4 (sqr (cos (* 1/2 K)))) (/ 0 (sqr (cos (* 1/2 K))))) (* 0 (/ 0 (sqr (cos (* 1/2 K))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* 1 (- 1/8)) (+ (* 0 0) (* (- 1/8) 1))) into -1/4
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16
* [misc]backup-simplify:  Simplify 1/16 into 1/16
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 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 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 5) 120)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (cos (* 1/2 K))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (cos (* 1/2 K)))) (+ (* (/ 1/4 (sqr (cos (* 1/2 K)))) (/ 0 (sqr (cos (* 1/2 K))))) (* 0 (/ 0 (sqr (cos (* 1/2 K))))) (* 0 (/ 0 (sqr (cos (* 1/2 K))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 (- 1/8)) (+ (* (- 1/8) 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/16 (sqr (* K (* (/ 1 J) U)))) (* 1/4 (sqr (* 1 (* (/ 1 J) U))))) into (+ (* 1/4 (/ (sqr U) (sqr J))) (* 1/16 (/ (* (sqr K) (sqr U)) (sqr J))))
* [misc]approximate:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [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 K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [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 (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [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 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [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 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (sqr J) (sqr (cos (/ 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of (sqr J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (cos (/ 1/2 K))) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (sqr (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (cos (/ 1/2 K)))) into (/ 1 (sqr (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (sqr (cos (/ 1/2 K))))) into (/ 1/4 (sqr (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (/ 1/4 (sqr (cos (/ 1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of 1/4 in K
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (sqr (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (sqr (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1/4 (sqr (cos (/ 1/2 K)))) into (/ 1/4 (sqr (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (/ 1/4 (sqr (cos (/ 1/2 K)))) into (/ 1/4 (sqr (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (cos (/ 1/2 K)))) (+ (* (/ 1 (sqr (cos (/ 1/2 K)))) (/ 0 (sqr (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (sqr (cos (/ 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (cos (/ 1/2 K)))) (+ (* (/ 1/4 (sqr (cos (/ 1/2 K)))) (/ 0 (sqr (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (cos (/ 1/2 K)))) (+ (* (/ 1 (sqr (cos (/ 1/2 K)))) (/ 0 (sqr (cos (/ 1/2 K))))) (* 0 (/ 0 (sqr (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (sqr (cos (/ 1/2 K))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1/4 (sqr (cos (/ 1/2 K)))) (sqr (* 1 (* (/ 1 J) (/ 1 (/ 1 U)))))) into (* 1/4 (/ (sqr U) (* (sqr J) (sqr (cos (/ 1/2 K))))))
* [misc]approximate:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in K
* [misc]taylor:  Taking taylor expansion of (- U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in J
* [misc]taylor:  Taking taylor expansion of (- U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 -1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (sqr J) (sqr (cos (/ -1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of (sqr J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (cos (/ -1/2 K))) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in J
* [misc]taylor:  Taking taylor expansion of -1/2 in J
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (sqr (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (cos (/ -1/2 K)))) into (/ 1 (sqr (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (sqr (cos (/ -1/2 K))))) into (/ 1/4 (sqr (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (/ 1/4 (sqr (cos (/ -1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of 1/4 in K
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (sqr (cos (/ -1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (sqr (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1/4 (sqr (cos (/ -1/2 K)))) into (/ 1/4 (sqr (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (/ 1/4 (sqr (cos (/ -1/2 K)))) into (/ 1/4 (sqr (cos (/ -1/2 K))))
* [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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 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 (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (cos (/ -1/2 K)))) (+ (* (/ 1 (sqr (cos (/ -1/2 K)))) (/ 0 (sqr (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (sqr (cos (/ -1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (cos (/ -1/2 K)))) (+ (* (/ 1/4 (sqr (cos (/ -1/2 K)))) (/ 0 (sqr (cos (/ -1/2 K))))))) 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (cos (/ -1/2 K)))) (+ (* (/ 1 (sqr (cos (/ -1/2 K)))) (/ 0 (sqr (cos (/ -1/2 K))))) (* 0 (/ 0 (sqr (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (sqr (cos (/ -1/2 K))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1/4 (sqr (cos (/ -1/2 K)))) (sqr (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U))))))) into (* 1/4 (/ (sqr U) (* (sqr (cos (/ -1/2 K))) (sqr J))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1 2 1 2)
* [misc]approximate:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in (J K) around 0
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 J) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [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 (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [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 (* 2 (* 1 J)) into (* 2 J)
* [misc]approximate:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in (J K) around 0
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [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 K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [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 (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [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 (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [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 (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 2 (cos (/ 1/2 K))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (/ 1/2 K)) J))
* [misc]approximate:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in (J K) around 0
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 -1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 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 (+ (* 2 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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 (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [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 (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -2 (cos (/ -1/2 K))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (/ -1/2 K)) J))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1 2 1 2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 74 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) 1))>
* [enter]simplify:  Simplifying (* (* (* -2 J) (cos (/ K 2))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* J -2))
* * * * [misc]progress:  [ 2 / 74 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* 1/2 (/ U (* J (cos (/ 1/2 K)))))))>
* [enter]simplify:  Simplifying (* (* (* -2 J) (cos (/ K 2))) (* 1/2 (/ U (* J (cos (/ 1/2 K))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (251 enodes)
* * [misc]simplify:  iters left: 1 (446 enodes)
* [exit]simplify:  Simplified to (* (* (/ 1/2 (/ 1 -2)) (cos (/ K 2))) (/ U (cos (/ 1/2 K))))
* * * * [misc]progress:  [ 3 / 74 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* 1/2 (/ U (* (cos (/ -1/2 K)) J)))))>
* [enter]simplify:  Simplifying (* (* (* -2 J) (cos (/ K 2))) (* 1/2 (/ U (* (cos (/ -1/2 K)) J))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (310 enodes)
* [exit]simplify:  Simplified to (* (/ (* 1/2 U) (cos (/ -1/2 K))) (/ (cos (/ K 2)) (/ 1 -2)))
* * * * [misc]progress:  [ 4 / 74 ] simplifiying candidate #<alt-event (λ (J K U) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 5 / 74 ] simplifiying candidate #<alt-event (λ (J K U) (* -2 (* (cos (/ 1/2 K)) J)))>
* [enter]simplify:  Simplifying (* -2 (* (cos (/ 1/2 K)) J))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* [exit]simplify:  Simplified to (* (* J -2) (cos (/ 1/2 K)))
* * * * [misc]progress:  [ 6 / 74 ] simplifiying candidate #<alt-event (λ (J K U) (* -2 (* (cos (/ -1/2 K)) J)))>
* [enter]simplify:  Simplifying (* -2 (* (cos (/ -1/2 K)) J))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* [exit]simplify:  Simplified to (* (* J -2) (cos (/ -1/2 K)))
* * * * [misc]progress:  [ 7 / 74 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (+ (* 1/4 (/ (sqr U) (sqr J))) (* 1/16 (/ (* (sqr K) (sqr U)) (sqr J))))))))>
* [enter]simplify:  Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (+ (* 1/4 (/ (sqr U) (sqr J))) (* 1/16 (/ (* (sqr K) (sqr U)) (sqr J)))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (180 enodes)
* * [misc]simplify:  iters left: 2 (317 enodes)
* * [misc]simplify:  iters left: 1 (493 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (* (/ U (/ J U)) (+ (* (* 1/16 K) (/ K J)) (/ 1/4 J))))) (* (* J -2) (cos (/ K 2))))
* * * * [misc]progress:  [ 8 / 74 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* 1/4 (/ (sqr U) (* (sqr J) (sqr (cos (/ 1/2 K))))))))))>
* [enter]simplify:  Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* 1/4 (/ (sqr U) (* (sqr J) (sqr (cos (/ 1/2 K)))))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (246 enodes)
* * [misc]simplify:  iters left: 1 (372 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* (/ (sqr (/ U J)) (cos (/ 1/2 K))) (/ 1/4 (cos (/ 1/2 K)))) 1)) (* (* J -2) (cos (/ K 2))))
* * * * [misc]progress:  [ 9 / 74 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* 1/4 (/ (sqr U) (* (sqr (cos (/ -1/2 K))) (sqr J))))))))>
* [enter]simplify:  Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* 1/4 (/ (sqr U) (* (sqr (cos (/ -1/2 K))) (sqr J)))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (239 enodes)
* * [misc]simplify:  iters left: 1 (370 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (/ (* (/ U J) (* (/ U J) 1/4)) (sqr (cos (/ -1/2 K)))) 1)) (* (* J -2) (cos (/ K 2))))
* * * * [misc]progress:  [ 10 / 74 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* 2 J)))))))>
* [enter]simplify:  Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* 2 J))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (190 enodes)
* [exit]simplify:  Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ U (+ J J)) (/ U (+ J J))))))
* * * * [misc]progress:  [ 11 / 74 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* 2 (* (cos (/ 1/2 K)) J))))))))>
* [enter]simplify:  Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* 2 (* (cos (/ 1/2 K)) J)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (435 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (/ (/ (/ (sqr U) (+ J J)) (cos (/ 1/2 K))) (* (cos (/ 1/2 K)) (+ J J))) 1)) (* (* J -2) (cos (/ K 2))))
* * * * [misc]progress:  [ 12 / 74 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* 2 (* (cos (/ -1/2 K)) J))))))))>
* [enter]simplify:  Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* 2 (* (cos (/ -1/2 K)) J)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (435 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (/ (/ (/ (sqr U) (+ J J)) (cos (/ -1/2 K))) (* (cos (/ -1/2 K)) (+ J J))) 1)) (* (* J -2) (cos (/ K 2))))
* * * * [misc]progress:  [ 13 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (pow (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) 1/2)))>
* * * * [misc]progress:  [ 14 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (pow (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))) 1)))>
* * * * [misc]progress:  [ 15 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (exp (log (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (log (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (455 enodes)
* [exit]simplify:  Simplified to (log (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* [exit]simplify:  Simplified to (log (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* * * * [misc]progress:  [ 16 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (log (exp (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (exp (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (455 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* [exit]simplify:  Simplified to (exp (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* * * * [misc]progress:  [ 17 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (cube (cbrt (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (455 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* * * * [misc]progress:  [ 18 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (cbrt (cube (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (cube (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (434 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)) (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1))
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)) (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1))
* * * * [misc]progress:  [ 19 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* (sqrt 1) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (157 enodes)
* * [misc]simplify:  iters left: 1 (420 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1))
* [exit]simplify:  Simplified to (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1))
* * * * [misc]progress:  [ 20 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ (pow 1 3) (pow (sqr (/ U (* (* 2 J) (cos (/ K 2))))) 3))) (sqrt (+ (sqr 1) (- (sqr (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) (* 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow 1 3) (pow (sqr (/ U (* (* 2 J) (cos (/ K 2))))) 3)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (312 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (cube (/ (/ U (+ J J)) (cos (/ K 2)))) (cube (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (cube (/ (/ U (+ J J)) (cos (/ K 2)))) (cube (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (sqrt (+ (sqr 1) (- (sqr (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) (* 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (287 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) (- (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* [exit]simplify:  Simplified to (sqrt (- (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) (- (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* * * * [misc]progress:  [ 21 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (- (sqr 1) (sqr (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))) (sqrt (- 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (sqrt (- (sqr 1) (sqr (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (254 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (sqrt (- 1 (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (sqrt (- 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (423 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (sqr (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (- 1 (sqr (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 22 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqr (sqrt (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (455 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* * * * [misc]progress:  [ 23 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (fabs (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))>
* * * * [misc]progress:  [ 24 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* 1 (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))>
* * * * [misc]progress:  [ 25 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))) 1))>
* [enter]simplify:  Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (472 enodes)
* [exit]simplify:  Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* [exit]simplify:  Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* * * * [misc]progress:  [ 26 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))) 1))>
* [enter]simplify:  Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (472 enodes)
* [exit]simplify:  Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* [exit]simplify:  Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* * * * [misc]progress:  [ 27 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))) 1))>
* * * * [misc]progress:  [ 28 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (119 enodes)
* * [misc]simplify:  iters left: 2 (206 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1))))
* [exit]simplify:  Simplified to (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1))))
* * * * [misc]progress:  [ 29 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (+ (log (* (* -2 J) (cos (/ K 2)))) (log (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (+ (log (* (* -2 J) (cos (/ K 2)))) (log (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (208 enodes)
* * [misc]simplify:  iters left: 1 (464 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))) (log (* (* J -2) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (+ (log (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))) (log (* (* J -2) (cos (/ K 2)))))
* * * * [misc]progress:  [ 30 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (log (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (log (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (224 enodes)
* * [misc]simplify:  iters left: 1 (413 enodes)
* [exit]simplify:  Simplified to (log (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1))))
* [exit]simplify:  Simplified to (log (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1))))
* * * * [misc]progress:  [ 31 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (log (exp (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (exp (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (204 enodes)
* * [misc]simplify:  iters left: 1 (478 enodes)
* [exit]simplify:  Simplified to (pow (pow (exp (* J -2)) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* [exit]simplify:  Simplified to (pow (pow (exp (* J -2)) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* * * * [misc]progress:  [ 32 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (* (cube (* -2 J)) (cube (cos (/ K 2)))) (cube (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (* (* (cube (* -2 J)) (cube (cos (/ K 2)))) (cube (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (335 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)) (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)) (* (* (cube (* J -2)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)) (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)) (* (* (cube (* J -2)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 33 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (cube (* (* -2 J) (cos (/ K 2)))) (cube (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (* (cube (* (* -2 J) (cos (/ K 2)))) (cube (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (311 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (+ (* (cube (* (* J -2) (cos (/ K 2)))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) (cube (* (* J -2) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (+ (* (cube (* (* J -2) (cos (/ K 2)))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) (cube (* (* J -2) (cos (/ K 2))))))
* * * * [misc]progress:  [ 34 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (cube (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (194 enodes)
* * [misc]simplify:  iters left: 1 (498 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1))))
* [exit]simplify:  Simplified to (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1))))
* * * * [misc]progress:  [ 35 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (cube (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (cube (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (cube (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1))))
* [exit]simplify:  Simplified to (cube (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1))))
* * * * [misc]progress:  [ 36 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (cube (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (327 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (* (* J -2) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (* (* J -2) (cos (/ K 2)))))
* * * * [misc]progress:  [ 37 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (cube (* (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) (cbrt (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (* (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) (cbrt (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (360 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1))) (* (cbrt (cos (/ K 2))) (cbrt (* J -2))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1))) (* (cbrt (cos (/ K 2))) (cbrt (* J -2))))
* * * * [misc]progress:  [ 38 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (sqr (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (194 enodes)
* * [misc]simplify:  iters left: 1 (498 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1))))
* [exit]simplify:  Simplified to (sqrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1))))
* * * * [misc]progress:  [ 39 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (sqr (* (sqrt (* (* -2 J) (cos (/ K 2)))) (sqrt (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (* (sqrt (* (* -2 J) (cos (/ K 2)))) (sqrt (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (327 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))) (sqrt (* (* J -2) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))) (sqrt (* (* J -2) (cos (/ K 2)))))
* * * * [misc]progress:  [ 40 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (sqr (* (* (sqrt (* -2 J)) (sqrt (cos (/ K 2)))) (sqrt (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (* -2 J)) (sqrt (cos (/ K 2)))) (sqrt (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (360 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1))) (* (sqrt (cos (/ K 2))) (sqrt (* J -2))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1))) (* (sqrt (cos (/ K 2))) (sqrt (* J -2))))
* * * * [misc]progress:  [ 41 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))>
* * * * [misc]progress:  [ 42 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt 1)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt 1) (* J -2)) (cos (/ K 2)))
* [exit]simplify:  Simplified to (* (* (sqrt 1) (* J -2)) (cos (/ K 2)))
* * * * [misc]progress:  [ 43 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) 1) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (* -2 J) (cos (/ K 2))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* J -2))
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* J -2))
* * * * [misc]progress:  [ 44 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (160 enodes)
* * [misc]simplify:  iters left: 1 (416 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (sqr (/ (/ U (+ J J)) (cos (/ K 2)))))) (cos (/ K 2)))
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (sqr (/ (/ U (+ J J)) (cos (/ K 2)))))) (cos (/ K 2)))
* * * * [misc]progress:  [ 45 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (/ (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (pow 1 3) (pow (sqr (/ U (* (* 2 J) (cos (/ K 2))))) 3)))) (sqrt (+ (sqr 1) (- (sqr (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) (* 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (pow 1 3) (pow (sqr (/ U (* (* 2 J) (cos (/ K 2))))) 3))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (160 enodes)
* * [misc]simplify:  iters left: 2 (350 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (cube (sqr (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (* J -2) (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (cube (sqr (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (* J -2) (cos (/ K 2))))
* * * * [misc]progress:  [ 46 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (/ (* (* (* -2 J) (cos (/ K 2))) (sqrt (- (sqr 1) (sqr (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))) (sqrt (- 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (- (sqr 1) (sqr (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (301 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- 1 (sqr (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (* J -2) (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (sqrt (- 1 (sqr (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (* J -2) (cos (/ K 2))))
* * * * [misc]progress:  [ 47 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))) (* (* -2 J) (cos (/ K 2)))))>
* * * * [misc]progress:  [ 48 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
* * * * [misc]progress:  [ 49 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (sqr (/ U (* (* 2 J) (cos (/ K 2))))) 1)))))>
* * * * [misc]progress:  [ 50 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (log (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (log (sqr (/ U (* (* 2 J) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (241 enodes)
* [exit]simplify:  Simplified to (* (log (/ (/ U (+ J J)) (cos (/ K 2)))) 2)
* [exit]simplify:  Simplified to (* (log (/ (/ U (+ J J)) (cos (/ K 2)))) 2)
* * * * [misc]progress:  [ 51 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (log (exp (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (exp (sqr (/ U (* (* 2 J) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (155 enodes)
* * [misc]simplify:  iters left: 1 (342 enodes)
* [exit]simplify:  Simplified to (exp (sqr (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (exp (sqr (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 52 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (cube (cbrt (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (cbrt (sqr (/ U (* (* 2 J) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (352 enodes)
* [exit]simplify:  Simplified to (cbrt (sqr (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (cbrt (sqr (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 53 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (cbrt (cube (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (cube (sqr (/ U (* (* 2 J) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* [exit]simplify:  Simplified to (sqr (cube (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (sqr (cube (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 54 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (sqrt (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (sqrt (sqr (/ U (* (* 2 J) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (343 enodes)
* [exit]simplify:  Simplified to (fabs (/ (/ U (+ J J)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (fabs (/ (/ U (+ J J)) (cos (/ K 2))))
* * * * [misc]progress:  [ 55 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (sqr 1) (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (sqr 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (* 1 1)
* [exit]simplify:  Simplified to (* 1 1)
* [enter]simplify:  Simplifying (sqr (/ U (* (* 2 J) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (343 enodes)
* [exit]simplify:  Simplified to (sqr (/ (/ U (+ J J)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (sqr (/ (/ U (+ J J)) (cos (/ K 2))))
* * * * [misc]progress:  [ 56 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (sqr U) (sqr (/ 1 (* (* 2 J) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (sqr U)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (* U U)
* [exit]simplify:  Simplified to (* U U)
* [enter]simplify:  Simplifying (sqr (/ 1 (* (* 2 J) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (209 enodes)
* [exit]simplify:  Simplified to (sqr (/ (/ 1 (+ J J)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (sqr (/ (/ 1 (+ J J)) (cos (/ K 2))))
* * * * [misc]progress:  [ 57 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (sqr U) (sqr (* (* 2 J) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (sqr U)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (* U U)
* [exit]simplify:  Simplified to (* U U)
* [enter]simplify:  Simplifying (sqr (* (* 2 J) (cos (/ K 2))))
* * [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 (49 enodes)
* * [misc]simplify:  iters left: 2 (93 enodes)
* * [misc]simplify:  iters left: 1 (140 enodes)
* [exit]simplify:  Simplified to (* (* (+ J J) (cos (/ K 2))) (* (+ J J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (* (+ J J) (cos (/ K 2))) (* (+ J J) (cos (/ K 2))))
* * * * [misc]progress:  [ 58 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))))>
* * * * [misc]progress:  [ 59 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))>
* * * * [misc]progress:  [ 60 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (pow (* (* 2 J) (cos (/ K 2))) 1)))))))>
* [enter]simplify:  Simplifying (* (* 2 J) (cos (/ K 2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (* (+ J J) (cos (/ K 2)))
* [exit]simplify:  Simplified to (* (+ J J) (cos (/ K 2)))
* * * * [misc]progress:  [ 61 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (pow (* (* 2 J) (cos (/ K 2))) 1)))))))>
* * * * [misc]progress:  [ 62 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (exp (+ (log (* 2 J)) (log (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (+ (log (* 2 J)) (log (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (+ (log (+ J J)) (log (cos (/ K 2))))
* [exit]simplify:  Simplified to (+ (log (+ J J)) (log (cos (/ K 2))))
* * * * [misc]progress:  [ 63 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (exp (log (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (log (* (* 2 J) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* [exit]simplify:  Simplified to (log (* (+ J J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (log (* (+ J J) (cos (/ K 2))))
* * * * [misc]progress:  [ 64 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (log (exp (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (exp (* (* 2 J) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (pow (sqr (exp J)) (cos (/ K 2)))
* [exit]simplify:  Simplified to (pow (sqr (exp J)) (cos (/ K 2)))
* * * * [misc]progress:  [ 65 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (cbrt (* (cube (* 2 J)) (cube (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (* (cube (* 2 J)) (cube (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (238 enodes)
* [exit]simplify:  Simplified to (* (cube (+ J J)) (cube (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (cube (+ J J)) (cube (cos (/ K 2))))
* * * * [misc]progress:  [ 66 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (cube (cbrt (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* 2 J) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ J J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (cbrt (* (+ J J) (cos (/ K 2))))
* * * * [misc]progress:  [ 67 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (cbrt (cube (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (cube (* (* 2 J) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (219 enodes)
* [exit]simplify:  Simplified to (cube (* (+ J J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (cube (* (+ J J) (cos (/ K 2))))
* * * * [misc]progress:  [ 68 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (cube (* (cbrt (* 2 J)) (cbrt (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* 2 J)) (cbrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ J J)) (cbrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (cbrt (+ J J)) (cbrt (cos (/ K 2))))
* * * * [misc]progress:  [ 69 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (sqr (sqrt (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (sqrt (* (* 2 J) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (sqrt (* (+ J J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (sqrt (* (+ J J) (cos (/ K 2))))
* * * * [misc]progress:  [ 70 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (sqr (* (sqrt (* 2 J)) (sqrt (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (* (sqrt (* 2 J)) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ J J)) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (sqrt (+ J J)) (sqrt (cos (/ K 2))))
* * * * [misc]progress:  [ 71 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* 1 (* (* 2 J) (cos (/ K 2))))))))))>
* * * * [misc]progress:  [ 72 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* (* 2 J) 1) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* 2 J) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (+ J J)
* [exit]simplify:  Simplified to (+ J J)
* * * * [misc]progress:  [ 73 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* 2 (* J (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (* J (cos (/ K 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (* J (cos (/ K 2)))
* [exit]simplify:  Simplified to (* J (cos (/ K 2)))
* * * * [misc]progress:  [ 74 / 74 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (cos (/ K 2)) (* 2 J))))))))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 J) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (* 2 J) 1) into (* 2 J)
* [misc]backup-simplify:  Simplify (/ U (* 2 J)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (sqr U) (sqr J)))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (sqr U) (sqr J)))) into (+ 1 (* 1/4 (/ (sqr U) (sqr J))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (sqr U) (sqr J))))) into (sqrt (+ 1 (* 1/4 (/ (sqr U) (sqr J)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (sqr U) (sqr J))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))) into (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 J) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 J) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (sqr (cos (* 1/2 K))) (sqr J)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (sqr (cos (* 1/2 K))) (sqr J)))) into (* 1/4 (/ 1 (* (sqr (cos (* 1/2 K))) (sqr J))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (sqr (cos (* 1/2 K))) (sqr J)))) (sqr 0) (+)) (* 2 1)) into (/ 1/8 (* (sqr (cos (* 1/2 K))) (sqr J)))
* [misc]taylor:  Taking taylor expansion of (/ 1/8 (* (sqr (cos (* 1/2 K))) (sqr J))) in J
* [misc]taylor:  Taking taylor expansion of 1/8 in J
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (* (sqr (cos (* 1/2 K))) (sqr J)) in J
* [misc]taylor:  Taking taylor expansion of (sqr (cos (* 1/2 K))) in J
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (* 1/2 K) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqr J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (sqr (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (cos (* 1/2 K))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 K)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (cos (* 1/2 K))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (cos (* 1/2 K))) 1) (+ (* 0 0) (* 0 0))) into (sqr (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1/8 (sqr (cos (* 1/2 K)))) into (/ 1/8 (sqr (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (cos (* 1/2 K))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (cos (* 1/2 K)))) (+ (* (/ 1/8 (sqr (cos (* 1/2 K)))) (/ 0 (sqr (cos (* 1/2 K))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (sqr (cos (* 1/2 K))) (sqr J))))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (cos (* 1/2 K))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (cos (* 1/2 K)))) (+ (* (/ 1/8 (sqr (cos (* 1/2 K)))) (/ 0 (sqr (cos (* 1/2 K))))) (* 0 (/ 0 (sqr (cos (* 1/2 K))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [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 K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (* 1/4 (/ (sqr J) (* (sqr U) (sqr (cos (/ 1/2 K))))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (sqr J) (* (sqr U) (sqr (cos (/ 1/2 K))))))) into (+ (* 1/4 (/ (sqr J) (* (sqr U) (sqr (cos (/ 1/2 K)))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (sqr J) (* (sqr U) (sqr (cos (/ 1/2 K)))))) 1)) into (sqrt (+ (* 1/4 (/ (sqr J) (* (sqr U) (sqr (cos (/ 1/2 K)))))) 1))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ 1/2 K)) U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (sqr J) (* (sqr U) (sqr (cos (/ 1/2 K)))))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [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 (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [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 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [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 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [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 (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [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 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) 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 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (cos (/ 1/2 K))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* J (cos (/ 1/2 K)))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in K
* [misc]taylor:  Taking taylor expansion of (- U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (sqr J) (* (sqr (cos (/ -1/2 K))) (sqr U))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (sqr J) (* (sqr (cos (/ -1/2 K))) (sqr U))))) into (+ 1 (* 1/4 (/ (sqr J) (* (sqr (cos (/ -1/2 K))) (sqr U)))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (sqr J) (* (sqr (cos (/ -1/2 K))) (sqr U)))))) into (sqrt (+ 1 (* 1/4 (/ (sqr J) (* (sqr (cos (/ -1/2 K))) (sqr U))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (sqr J) (* (sqr (cos (/ -1/2 K))) (sqr U)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in J
* [misc]taylor:  Taking taylor expansion of (- U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 -1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 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 (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 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 (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in J
* [misc]taylor:  Taking taylor expansion of -1/2 in J
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
* [misc]taylor:  Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in J
* [misc]taylor:  Taking taylor expansion of -1/2 in J
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 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) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [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 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) 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 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (cos (/ -1/2 K))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (/ -1/2 K)) J)))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 J) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))) in U
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 J) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 J) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 J) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (* 2 J) 1) into (* 2 J)
* [misc]backup-simplify:  Simplify (/ U (* 2 J)) into (* 1/2 (/ U J))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (sqr U) (sqr J)))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (sqr U) (sqr J)))) into (+ 1 (* 1/4 (/ (sqr U) (sqr J))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (sqr U) (sqr J))))) into (sqrt (+ 1 (* 1/4 (/ (sqr U) (sqr J)))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (sqr U) (sqr J))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))) into (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))) into (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (sqr U) (sqr (cos (* 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (* -2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/2 U)
* [misc]backup-simplify:  Simplify (* 0 (* 1/2 U)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [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 (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 1) (* 0 0)) into -2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* -2 (* 1/2 U))) into (- U)
* [misc]taylor:  Taking taylor expansion of (- U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [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 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))) (* 0 (/ 0 (* 2 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr 0) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U)
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) (/ (cos (* 1/2 K)) U)) (+ (* 0 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into (/ (sqr (cos (* 1/2 K))) U)
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (/ (sqr (cos (* 1/2 K))) U)) (+ (* -2 0) (* 0 (* 1/2 U)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (* (* -2 (/ 1 J)) (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))))) in U
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [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 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [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 K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [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 K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (* 1/4 (/ (sqr J) (* (sqr U) (sqr (cos (/ 1/2 K))))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (sqr J) (* (sqr U) (sqr (cos (/ 1/2 K))))))) into (+ (* 1/4 (/ (sqr J) (* (sqr U) (sqr (cos (/ 1/2 K)))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (sqr J) (* (sqr U) (sqr (cos (/ 1/2 K)))))) 1)) into (sqrt (+ (* 1/4 (/ (sqr J) (* (sqr U) (sqr (cos (/ 1/2 K)))))) 1))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ 1/2 K)) U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (sqr J) (* (sqr U) (sqr (cos (/ 1/2 K)))))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [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 (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [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 (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [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 (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [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 (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* -2 1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in U
* [misc]taylor:  Taking taylor expansion of 1/2 in U
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 1/2 (* (cos (/ 1/2 K)) U))) into (/ 1/4 (* (sqr (cos (/ 1/2 K))) (sqr U)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (sqr (cos (/ 1/2 K))) (sqr U)))) into (* 1/4 (/ 1 (* (sqr (cos (/ 1/2 K))) (sqr U))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (sqr (cos (/ 1/2 K))) (sqr U)))) (sqr 0) (+)) (* 2 1)) into (/ 1/8 (* (sqr (cos (/ 1/2 K))) (sqr U)))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) (/ 1/8 (* (sqr (cos (/ 1/2 K))) (sqr U)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (/ 1/2 K)) (sqr U))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (/ 1/2 K)) (sqr U))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (sqr U)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (sqr U))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (sqr U)))) in K
* [misc]taylor:  Taking taylor expansion of 1/4 in K
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (cos (/ 1/2 K)) (sqr U))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1/2 K)) (sqr U)) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqr U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* U U) into (sqr U)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (sqr U)) into (* (cos (/ 1/2 K)) (sqr U))
* [misc]backup-simplify:  Simplify (/ 1 (* (cos (/ 1/2 K)) (sqr U))) into (/ 1 (* (cos (/ 1/2 K)) (sqr U)))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (sqr U)))) into (/ 1/4 (* (cos (/ 1/2 K)) (sqr U)))
* [misc]backup-simplify:  Simplify (- (/ 1/4 (* (cos (/ 1/2 K)) (sqr U)))) into (- (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (sqr U)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (sqr U))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (sqr U)))) in U
* [misc]taylor:  Taking taylor expansion of 1/4 in U
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (cos (/ 1/2 K)) (sqr U))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1/2 K)) (sqr U)) in U
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in U
* [misc]taylor:  Taking taylor expansion of 1/2 in U
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqr U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 1) (+ (* 0 0) (* 0 0))) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) 0) (* 0 (/ 1/2 (* (cos (/ 1/2 K)) U)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (sqr (cos (/ 1/2 K))) (sqr U))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 (/ 1/8 (* (sqr (cos (/ 1/2 K))) (sqr U)))) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (/ 1/2 K)) (sqr U))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* U 0) (* 0 U)) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (sqr U))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (cos (/ 1/2 K)) (sqr U))) (/ 0 (* (cos (/ 1/2 K)) (sqr U)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ 1/2 K)) (sqr U))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) 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 (* (* -2 (cos (/ 1/2 K))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (/ 1/2 K)) J))
* [misc]approximate:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))))) in U
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 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 (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in K
* [misc]taylor:  Taking taylor expansion of (- U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (sqr J) (* (sqr (cos (/ -1/2 K))) (sqr U))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (sqr J) (* (sqr (cos (/ -1/2 K))) (sqr U))))) into (+ 1 (* 1/4 (/ (sqr J) (* (sqr (cos (/ -1/2 K))) (sqr U)))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (sqr J) (* (sqr (cos (/ -1/2 K))) (sqr U)))))) into (sqrt (+ 1 (* 1/4 (/ (sqr J) (* (sqr (cos (/ -1/2 K))) (sqr U))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (sqr J) (* (sqr (cos (/ -1/2 K))) (sqr U)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in J
* [misc]taylor:  Taking taylor expansion of (- U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 -1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in J
* [misc]taylor:  Taking taylor expansion of (- U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 -1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* -2 -1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in U
* [misc]taylor:  Taking taylor expansion of -1/2 in U
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 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 (+ (* -2 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 1/2 (* (cos (/ -1/2 K)) U))) into (/ 1/4 (* (sqr (cos (/ -1/2 K))) (sqr U)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (sqr (cos (/ -1/2 K))) (sqr U)))) into (* 1/4 (/ 1 (* (sqr (cos (/ -1/2 K))) (sqr U))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (sqr (cos (/ -1/2 K))) (sqr U)))) (sqr 0) (+)) (* 2 1)) into (/ 1/8 (* (sqr (cos (/ -1/2 K))) (sqr U)))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) (/ 1/8 (* (sqr (cos (/ -1/2 K))) (sqr U)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (sqr U))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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 (+ (* -2 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (sqr U))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (sqr U))))
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (sqr U)))) in K
* [misc]taylor:  Taking taylor expansion of 1/4 in K
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (sqr U))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1/2 K)) (sqr U)) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqr U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (* U U) into (sqr U)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (sqr U)) into (* (cos (/ -1/2 K)) (sqr U))
* [misc]backup-simplify:  Simplify (/ 1 (* (cos (/ -1/2 K)) (sqr U))) into (/ 1 (* (cos (/ -1/2 K)) (sqr U)))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (sqr U)))) into (/ 1/4 (* (cos (/ -1/2 K)) (sqr U)))
* [misc]taylor:  Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (sqr U))) in U
* [misc]taylor:  Taking taylor expansion of 1/4 in U
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1/2 K)) (sqr U)) in U
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in U
* [misc]taylor:  Taking taylor expansion of -1/2 in U
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqr U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 1) (+ (* 0 0) (* 0 0))) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 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 (+ (* 2 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) 0) (* 0 (/ 1/2 (* (cos (/ -1/2 K)) U)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (sqr (cos (/ -1/2 K))) (sqr U))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ 1/8 (* (sqr (cos (/ -1/2 K))) (sqr U)))) (+ (* 0 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 (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (sqr U))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* U 0) (* 0 U)) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (sqr U))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (sqr U))) (/ 0 (* (cos (/ -1/2 K)) (sqr U)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (sqr U))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 2 (cos (/ -1/2 K))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (/ -1/2 K)) J))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 2 1 2)
* [misc]approximate:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 J) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (* 2 J) 1) into (* 2 J)
* [misc]backup-simplify:  Simplify (/ U (* 2 J)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 J) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]taylor:  Taking taylor expansion of (sqr (/ U (* (* 2 J) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 J) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 J) into (* 2 J)
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (sqr (cos (* 1/2 K))) (sqr J)))
* [misc]taylor:  Taking taylor expansion of (/ 1/4 (* (sqr (cos (* 1/2 K))) (sqr J))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (sqr (cos (* 1/2 K))) (sqr J)) in J
* [misc]taylor:  Taking taylor expansion of (sqr (cos (* 1/2 K))) in J
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (* 1/2 K) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqr J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (sqr (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (cos (* 1/2 K))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 K)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (cos (* 1/2 K))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (cos (* 1/2 K))) 1) (+ (* 0 0) (* 0 0))) into (sqr (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1/4 (sqr (cos (* 1/2 K)))) into (/ 1/4 (sqr (cos (* 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (/ 1/4 (sqr (cos (* 1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of 1/4 in K
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (sqr (cos (* 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1/4 1) into 1/4
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 J)) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (cos (* 1/2 K))) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (cos (* 1/2 K)))) (+ (* (/ 1/4 (sqr (cos (* 1/2 K)))) (/ 0 (sqr (cos (* 1/2 K))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (cos (* 1/2 K))) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (cos (* 1/2 K)))) (+ (* (/ 1/4 (sqr (cos (* 1/2 K)))) (/ 0 (sqr (cos (* 1/2 K))))) (* 0 (/ 0 (sqr (cos (* 1/2 K))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* 1 (- 1/8)) (+ (* 0 0) (* (- 1/8) 1))) into -1/4
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16
* [misc]backup-simplify:  Simplify 1/16 into 1/16
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 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 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 5) 120)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (cos (* 1/2 K))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (cos (* 1/2 K)))) (+ (* (/ 1/4 (sqr (cos (* 1/2 K)))) (/ 0 (sqr (cos (* 1/2 K))))) (* 0 (/ 0 (sqr (cos (* 1/2 K))))) (* 0 (/ 0 (sqr (cos (* 1/2 K))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 (- 1/8)) (+ (* (- 1/8) 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/16 (sqr (* K (* (/ 1 J) U)))) (* 1/4 (sqr (* 1 (* (/ 1 J) U))))) into (+ (* 1/4 (/ (sqr U) (sqr J))) (* 1/16 (/ (* (sqr K) (sqr U)) (sqr J))))
* [misc]approximate:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [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 K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [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 (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [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 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [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 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 J)) into (/ 2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K)))))
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (sqr J) (sqr (cos (/ 1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (sqr J) (sqr (cos (/ 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of (sqr J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (cos (/ 1/2 K))) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (sqr (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (cos (/ 1/2 K)))) into (/ 1 (sqr (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (sqr (cos (/ 1/2 K))))) into (/ 1/4 (sqr (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (/ 1/4 (sqr (cos (/ 1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of 1/4 in K
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (sqr (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (sqr (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1/4 (sqr (cos (/ 1/2 K)))) into (/ 1/4 (sqr (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (/ 1/4 (sqr (cos (/ 1/2 K)))) into (/ 1/4 (sqr (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (cos (/ 1/2 K)))) (+ (* (/ 1 (sqr (cos (/ 1/2 K)))) (/ 0 (sqr (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (sqr (cos (/ 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (cos (/ 1/2 K)))) (+ (* (/ 1/4 (sqr (cos (/ 1/2 K)))) (/ 0 (sqr (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (cos (/ 1/2 K)))) (+ (* (/ 1 (sqr (cos (/ 1/2 K)))) (/ 0 (sqr (cos (/ 1/2 K))))) (* 0 (/ 0 (sqr (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (sqr (cos (/ 1/2 K))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1/4 (sqr (cos (/ 1/2 K)))) (sqr (* 1 (* (/ 1 J) (/ 1 (/ 1 U)))))) into (* 1/4 (/ (sqr U) (* (sqr J) (sqr (cos (/ 1/2 K))))))
* [misc]approximate:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in K
* [misc]taylor:  Taking taylor expansion of (- U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in J
* [misc]taylor:  Taking taylor expansion of (- U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 -1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (/ -1 J)) into (/ -2 J)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J))
* [misc]backup-simplify:  Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K)))))
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (sqr J) (sqr (cos (/ -1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of 1/4 in J
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (sqr J) (sqr (cos (/ -1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of (sqr J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (cos (/ -1/2 K))) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in J
* [misc]taylor:  Taking taylor expansion of -1/2 in J
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (sqr (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (cos (/ -1/2 K)))) into (/ 1 (sqr (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (sqr (cos (/ -1/2 K))))) into (/ 1/4 (sqr (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (/ 1/4 (sqr (cos (/ -1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of 1/4 in K
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (sqr (cos (/ -1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (sqr (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1/4 (sqr (cos (/ -1/2 K)))) into (/ 1/4 (sqr (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (/ 1/4 (sqr (cos (/ -1/2 K)))) into (/ 1/4 (sqr (cos (/ -1/2 K))))
* [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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 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 (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (cos (/ -1/2 K)))) (+ (* (/ 1 (sqr (cos (/ -1/2 K)))) (/ 0 (sqr (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (sqr (cos (/ -1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (cos (/ -1/2 K)))) (+ (* (/ 1/4 (sqr (cos (/ -1/2 K)))) (/ 0 (sqr (cos (/ -1/2 K))))))) 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (cos (/ -1/2 K)))) (+ (* (/ 1 (sqr (cos (/ -1/2 K)))) (/ 0 (sqr (cos (/ -1/2 K))))) (* 0 (/ 0 (sqr (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (sqr (cos (/ -1/2 K))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1/4 (sqr (cos (/ -1/2 K)))) (sqr (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U))))))) into (* 1/4 (/ (sqr U) (* (sqr (cos (/ -1/2 K))) (sqr J))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 2 1 2 1 2)
* [misc]approximate:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in (J K) around 0
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 J) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 J) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* 0 (cos (* 1/2 K))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [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 (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [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 (* 2 (* 1 J)) into (* 2 J)
* [misc]approximate:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in (J K) around 0
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [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 K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [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 (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [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 (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [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 (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 2 (cos (/ 1/2 K))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (/ 1/2 K)) J))
* [misc]approximate:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in (J K) around 0
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* 2 -1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 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 (+ (* 2 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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 (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [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 (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -2 (cos (/ -1/2 K))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (/ -1/2 K)) J))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 2 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 2 1 2 1 2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 73 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) 1)))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* * [misc]simplify:  iters left: 1 (29 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* J -2))
* * * * [misc]progress:  [ 2 / 73 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (* 1/2 (/ U (* J (cos (/ 1/2 K))))))))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (* 1/2 (/ U (* J (cos (/ 1/2 K)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (268 enodes)
* [exit]simplify:  Simplified to (* (/ (* (/ 1/2 J) U) (cos (/ 1/2 K))) (* (* J -2) (cos (/ K 2))))
* * * * [misc]progress:  [ 3 / 73 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (* 1/2 (/ U (* (cos (/ -1/2 K)) J))))))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (* 1/2 (/ U (* (cos (/ -1/2 K)) J)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* * [misc]simplify:  iters left: 1 (276 enodes)
* [exit]simplify:  Simplified to (* (* (/ (* U (/ 1/2 J)) (cos (/ -1/2 K))) (cos (/ K 2))) (* J -2))
* * * * [misc]progress:  [ 4 / 73 ] simplifiying candidate #<alt-event (λ (J K U) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 5 / 73 ] simplifiying candidate #<alt-event (λ (J K U) (* -2 (* (cos (/ 1/2 K)) J)))>
* [enter]simplify:  Simplifying (* -2 (* (cos (/ 1/2 K)) J))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* [exit]simplify:  Simplified to (* (* J -2) (cos (/ 1/2 K)))
* * * * [misc]progress:  [ 6 / 73 ] simplifiying candidate #<alt-event (λ (J K U) (* -2 (* (cos (/ -1/2 K)) J)))>
* [enter]simplify:  Simplifying (* -2 (* (cos (/ -1/2 K)) J))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* [exit]simplify:  Simplified to (* (* J -2) (cos (/ -1/2 K)))
* * * * [misc]progress:  [ 7 / 73 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (+ (* 1/4 (/ (sqr U) (sqr J))) (* 1/16 (/ (* (sqr K) (sqr U)) (sqr J)))))))))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (+ (* 1/4 (/ (sqr U) (sqr J))) (* 1/16 (/ (* (sqr K) (sqr U)) (sqr J))))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (174 enodes)
* * [misc]simplify:  iters left: 2 (301 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (+ (/ 1/4 (* (/ J U) (/ J U))) (* (/ (sqr K) (/ J U)) (/ 1/16 (/ J U)))) 1)) (* (* J -2) (cos (/ K 2))))
* * * * [misc]progress:  [ 8 / 73 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (* 1/4 (/ (sqr U) (* (sqr J) (sqr (cos (/ 1/2 K)))))))))))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (* 1/4 (/ (sqr U) (* (sqr J) (sqr (cos (/ 1/2 K))))))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (383 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* (/ 1/4 (cos (/ 1/2 K))) (/ (* (/ U J) (/ U J)) (cos (/ 1/2 K)))) 1)) (* (* J -2) (cos (/ K 2))))
* * * * [misc]progress:  [ 9 / 73 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (* 1/4 (/ (sqr U) (* (sqr (cos (/ -1/2 K))) (sqr J)))))))))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (* 1/4 (/ (sqr U) (* (sqr (cos (/ -1/2 K))) (sqr J))))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (353 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ (* (/ U J) (/ U J)) (cos (/ -1/2 K)))) 1)) (* (* J -2) (cos (/ K 2))))
* * * * [misc]progress:  [ 10 / 73 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* 2 J))))))))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* 2 J)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (201 enodes)
* [exit]simplify:  Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ U (+ J J)) (/ U (+ J J))) 1)))
* * * * [misc]progress:  [ 11 / 73 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* 2 (* (cos (/ 1/2 K)) J)))))))))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* 2 (* (cos (/ 1/2 K)) J))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (400 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ 1/2 K)))) 1)) (* (* J -2) (cos (/ K 2))))
* * * * [misc]progress:  [ 12 / 73 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* 2 (* (cos (/ -1/2 K)) J)))))))))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* 2 (* (cos (/ -1/2 K)) J))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (400 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ -1/2 K)))) 1)) (* (* J -2) (cos (/ K 2))))
* * * * [misc]progress:  [ 13 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (pow (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) 1/2))))>
* * * * [misc]progress:  [ 14 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (pow (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))) 1))))>
* * * * [misc]progress:  [ 15 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (exp (log (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (log (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (455 enodes)
* [exit]simplify:  Simplified to (log (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* [exit]simplify:  Simplified to (log (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* * * * [misc]progress:  [ 16 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (log (exp (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (exp (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (455 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* [exit]simplify:  Simplified to (exp (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* * * * [misc]progress:  [ 17 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (cube (cbrt (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (455 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* [exit]simplify:  Simplified to (cbrt (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* * * * [misc]progress:  [ 18 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (cbrt (cube (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (cube (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (434 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)) (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1))
* [exit]simplify:  Simplified to (* (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)) (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1))
* * * * [misc]progress:  [ 19 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (* (sqrt 1) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (157 enodes)
* * [misc]simplify:  iters left: 1 (420 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1))
* [exit]simplify:  Simplified to (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1))
* * * * [misc]progress:  [ 20 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (/ (sqrt (+ (pow 1 3) (pow (sqr (/ U (* (* 2 J) (cos (/ K 2))))) 3))) (sqrt (+ (sqr 1) (- (sqr (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) (* 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow 1 3) (pow (sqr (/ U (* (* 2 J) (cos (/ K 2))))) 3)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (312 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (cube (/ (/ U (+ J J)) (cos (/ K 2)))) (cube (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (cube (/ (/ U (+ J J)) (cos (/ K 2)))) (cube (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (sqrt (+ (sqr 1) (- (sqr (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) (* 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (287 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) (- (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* [exit]simplify:  Simplified to (sqrt (- (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) (- (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* * * * [misc]progress:  [ 21 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (/ (sqrt (- (sqr 1) (sqr (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))) (sqrt (- 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (sqrt (- (sqr 1) (sqr (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (254 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (sqrt (- 1 (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (sqrt (- 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (423 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (sqr (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (- 1 (sqr (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 22 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqr (sqrt (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (455 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* * * * [misc]progress:  [ 23 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (fabs (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* * * * [misc]progress:  [ 24 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (* 1 (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* * * * [misc]progress:  [ 25 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))) 1))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (205 enodes)
* * [misc]simplify:  iters left: 1 (480 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2))))
* * * * [misc]progress:  [ 26 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))) 1))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (205 enodes)
* * [misc]simplify:  iters left: 1 (480 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2))))
* * * * [misc]progress:  [ 27 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))) 1))>
* * * * [misc]progress:  [ 28 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (+ (log (* -2 J)) (+ (log (cos (/ K 2))) (log (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (+ (log (* -2 J)) (+ (log (cos (/ K 2))) (log (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (198 enodes)
* * [misc]simplify:  iters left: 1 (475 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))) (+ (log (cos (/ K 2))) (log (* J -2))))
* [exit]simplify:  Simplified to (+ (log (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))) (+ (log (cos (/ K 2))) (log (* J -2))))
* * * * [misc]progress:  [ 29 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (+ (log (* -2 J)) (log (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (+ (log (* -2 J)) (log (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* * [misc]simplify:  iters left: 1 (493 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (* J -2)) (log (cos (/ K 2)))) (log (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1))))
* [exit]simplify:  Simplified to (+ (+ (log (* J -2)) (log (cos (/ K 2)))) (log (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1))))
* * * * [misc]progress:  [ 30 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (log (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (log (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (232 enodes)
* * [misc]simplify:  iters left: 1 (444 enodes)
* [exit]simplify:  Simplified to (log (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1))))
* [exit]simplify:  Simplified to (log (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1))))
* * * * [misc]progress:  [ 31 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (log (exp (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (exp (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (495 enodes)
* [exit]simplify:  Simplified to (exp (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1))))
* [exit]simplify:  Simplified to (exp (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1))))
* * * * [misc]progress:  [ 32 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (cube (* -2 J)) (* (cube (cos (/ K 2))) (cube (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (* (cube (* -2 J)) (* (cube (cos (/ K 2))) (cube (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (399 enodes)
* [exit]simplify:  Simplified to (* (+ (* (* (* (cube (* J -2)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (cube (* J -2)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))) (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (+ (* (* (* (cube (* J -2)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (cube (* J -2)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))) (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 33 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (cube (* -2 J)) (cube (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (* (cube (* -2 J)) (cube (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (318 enodes)
* [exit]simplify:  Simplified to (* (* (cube (* J -2)) (cube (cos (/ K 2)))) (* (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)) (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* [exit]simplify:  Simplified to (* (* (cube (* J -2)) (cube (cos (/ K 2)))) (* (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)) (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* * * * [misc]progress:  [ 34 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (cube (cbrt (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (490 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1))))
* [exit]simplify:  Simplified to (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1))))
* * * * [misc]progress:  [ 35 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (cube (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (cube (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (294 enodes)
* [exit]simplify:  Simplified to (cube (* (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (cube (* (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2)))))
* * * * [misc]progress:  [ 36 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (cube (* (cbrt (* -2 J)) (cbrt (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* -2 J)) (cbrt (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (462 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* J -2)) (cbrt (* (cos (/ K 2)) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))))
* [exit]simplify:  Simplified to (* (cbrt (* J -2)) (cbrt (* (cos (/ K 2)) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))))
* * * * [misc]progress:  [ 37 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (cube (* (cbrt (* -2 J)) (* (cbrt (cos (/ K 2))) (cbrt (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* -2 J)) (* (cbrt (cos (/ K 2))) (cbrt (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (367 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (cbrt (* J -2))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (cbrt (* J -2))))
* * * * [misc]progress:  [ 38 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (sqr (sqrt (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (sqrt (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (490 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1))))
* [exit]simplify:  Simplified to (sqrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1))))
* * * * [misc]progress:  [ 39 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (sqr (* (sqrt (* -2 J)) (sqrt (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (* (sqrt (* -2 J)) (sqrt (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (462 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* J -2)) (sqrt (* (cos (/ K 2)) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))))
* [exit]simplify:  Simplified to (* (sqrt (* J -2)) (sqrt (* (cos (/ K 2)) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))))
* * * * [misc]progress:  [ 40 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (sqr (* (sqrt (* -2 J)) (* (sqrt (cos (/ K 2))) (sqrt (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (* (sqrt (* -2 J)) (* (sqrt (cos (/ K 2))) (sqrt (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (367 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (sqrt (cos (/ K 2))) (sqrt (* J -2))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (sqrt (cos (/ K 2))) (sqrt (* J -2))))
* * * * [misc]progress:  [ 41 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* 1 (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* * * * [misc]progress:  [ 42 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* -2 J) (cos (/ K 2)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (* (* J -2) (cos (/ K 2)))
* [exit]simplify:  Simplified to (* (* J -2) (cos (/ K 2)))
* * * * [misc]progress:  [ 43 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* -2 (* J (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (* J (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (459 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (sqr (/ (/ U (+ J J)) (cos (/ K 2)))))) (* J (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (sqr (/ (/ U (+ J J)) (cos (/ K 2)))))) (* J (cos (/ K 2))))
* * * * [misc]progress:  [ 44 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (/ (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ (pow 1 3) (pow (sqr (/ U (* (* 2 J) (cos (/ K 2))))) 3))))) (sqrt (+ (sqr 1) (- (sqr (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) (* 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ (pow 1 3) (pow (sqr (/ U (* (* 2 J) (cos (/ K 2))))) 3)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (156 enodes)
* * [misc]simplify:  iters left: 2 (336 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (cube (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (* J -2) (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (cube (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (* J -2) (cos (/ K 2))))
* * * * [misc]progress:  [ 45 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (/ (* (* -2 J) (* (cos (/ K 2)) (sqrt (- (sqr 1) (sqr (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))) (sqrt (- 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (- (sqr 1) (sqr (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (137 enodes)
* * [misc]simplify:  iters left: 2 (303 enodes)
* [exit]simplify:  Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (- 1 (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))))
* [exit]simplify:  Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (- 1 (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 46 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))) (* -2 J)))>
* * * * [misc]progress:  [ 47 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
* * * * [misc]progress:  [ 48 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (sqr (/ U (* (* 2 J) (cos (/ K 2))))) 1))))))>
* * * * [misc]progress:  [ 49 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (exp (log (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (log (sqr (/ U (* (* 2 J) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (241 enodes)
* [exit]simplify:  Simplified to (* (log (/ (/ U (+ J J)) (cos (/ K 2)))) 2)
* [exit]simplify:  Simplified to (* (log (/ (/ U (+ J J)) (cos (/ K 2)))) 2)
* * * * [misc]progress:  [ 50 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (log (exp (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (exp (sqr (/ U (* (* 2 J) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (155 enodes)
* * [misc]simplify:  iters left: 1 (342 enodes)
* [exit]simplify:  Simplified to (exp (sqr (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (exp (sqr (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 51 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (cube (cbrt (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (cbrt (sqr (/ U (* (* 2 J) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (352 enodes)
* [exit]simplify:  Simplified to (cbrt (sqr (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (cbrt (sqr (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 52 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (cbrt (cube (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (cube (sqr (/ U (* (* 2 J) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* [exit]simplify:  Simplified to (sqr (cube (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (sqr (cube (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 53 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (sqrt (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (sqrt (sqr (/ U (* (* 2 J) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (343 enodes)
* [exit]simplify:  Simplified to (fabs (/ (/ U (+ J J)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (fabs (/ (/ U (+ J J)) (cos (/ K 2))))
* * * * [misc]progress:  [ 54 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (* (sqr 1) (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (sqr 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (* 1 1)
* [exit]simplify:  Simplified to (* 1 1)
* [enter]simplify:  Simplifying (sqr (/ U (* (* 2 J) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (343 enodes)
* [exit]simplify:  Simplified to (sqr (/ (/ U (+ J J)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (sqr (/ (/ U (+ J J)) (cos (/ K 2))))
* * * * [misc]progress:  [ 55 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (* (sqr U) (sqr (/ 1 (* (* 2 J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (sqr U)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (* U U)
* [exit]simplify:  Simplified to (* U U)
* [enter]simplify:  Simplifying (sqr (/ 1 (* (* 2 J) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (209 enodes)
* [exit]simplify:  Simplified to (sqr (/ (/ 1 (+ J J)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (sqr (/ (/ 1 (+ J J)) (cos (/ K 2))))
* * * * [misc]progress:  [ 56 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (/ (sqr U) (sqr (* (* 2 J) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (sqr U)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (* U U)
* [exit]simplify:  Simplified to (* U U)
* [enter]simplify:  Simplifying (sqr (* (* 2 J) (cos (/ K 2))))
* * [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 (49 enodes)
* * [misc]simplify:  iters left: 2 (93 enodes)
* * [misc]simplify:  iters left: 1 (140 enodes)
* [exit]simplify:  Simplified to (* (* (+ J J) (cos (/ K 2))) (* (+ J J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (* (+ J J) (cos (/ K 2))) (* (+ J J) (cos (/ K 2))))
* * * * [misc]progress:  [ 57 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))))))>
* * * * [misc]progress:  [ 58 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (* 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))>
* * * * [misc]progress:  [ 59 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (pow (* (* 2 J) (cos (/ K 2))) 1))))))))>
* [enter]simplify:  Simplifying (* (* 2 J) (cos (/ K 2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (* (+ J J) (cos (/ K 2)))
* [exit]simplify:  Simplified to (* (+ J J) (cos (/ K 2)))
* * * * [misc]progress:  [ 60 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (pow (* (* 2 J) (cos (/ K 2))) 1))))))))>
* * * * [misc]progress:  [ 61 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (exp (+ (log (* 2 J)) (log (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (+ (log (* 2 J)) (log (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (+ (log (+ J J)) (log (cos (/ K 2))))
* [exit]simplify:  Simplified to (+ (log (+ J J)) (log (cos (/ K 2))))
* * * * [misc]progress:  [ 62 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (exp (log (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (log (* (* 2 J) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* [exit]simplify:  Simplified to (log (* (+ J J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (log (* (+ J J) (cos (/ K 2))))
* * * * [misc]progress:  [ 63 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (log (exp (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (exp (* (* 2 J) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (pow (sqr (exp J)) (cos (/ K 2)))
* [exit]simplify:  Simplified to (pow (sqr (exp J)) (cos (/ K 2)))
* * * * [misc]progress:  [ 64 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (cbrt (* (cube (* 2 J)) (cube (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (* (cube (* 2 J)) (cube (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (238 enodes)
* [exit]simplify:  Simplified to (* (cube (+ J J)) (cube (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (cube (+ J J)) (cube (cos (/ K 2))))
* * * * [misc]progress:  [ 65 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (cube (cbrt (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* 2 J) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ J J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (cbrt (* (+ J J) (cos (/ K 2))))
* * * * [misc]progress:  [ 66 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (cbrt (cube (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (cube (* (* 2 J) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (219 enodes)
* [exit]simplify:  Simplified to (cube (* (+ J J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (cube (* (+ J J) (cos (/ K 2))))
* * * * [misc]progress:  [ 67 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (cube (* (cbrt (* 2 J)) (cbrt (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* 2 J)) (cbrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ J J)) (cbrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (cbrt (+ J J)) (cbrt (cos (/ K 2))))
* * * * [misc]progress:  [ 68 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (sqr (sqrt (* (* 2 J) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (sqrt (* (* 2 J) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (sqrt (* (+ J J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (sqrt (* (+ J J) (cos (/ K 2))))
* * * * [misc]progress:  [ 69 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (sqr (* (sqrt (* 2 J)) (sqrt (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (* (sqrt (* 2 J)) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ J J)) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (sqrt (+ J J)) (sqrt (cos (/ K 2))))
* * * * [misc]progress:  [ 70 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* 1 (* (* 2 J) (cos (/ K 2)))))))))))>
* * * * [misc]progress:  [ 71 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (* (* 2 J) 1) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (* (* 2 J) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (+ J J)
* [exit]simplify:  Simplified to (+ J J)
* * * * [misc]progress:  [ 72 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* 2 (* J (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (* J (cos (/ K 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (* J (cos (/ K 2)))
* [exit]simplify:  Simplified to (* J (cos (/ K 2)))
* * * * [misc]progress:  [ 73 / 73 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (/ U (* (cos (/ K 2)) (* 2 J)))))))))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 3
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [misc]backup-simplify:  Simplify (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) into (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))) into (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) into (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]backup-simplify:  Simplify (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) into (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))) into (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) into (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]backup-simplify:  Simplify (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) into (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))) into (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) into (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]backup-simplify:  Simplify (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) into (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))) into (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) into (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))) in J
* [misc]taylor:  Taking taylor expansion of (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) in J
* [misc]backup-simplify:  Simplify (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) into (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))) into (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) into (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))) in K
* [misc]taylor:  Taking taylor expansion of (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) in K
* [misc]backup-simplify:  Simplify (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) into (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))) into (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) into (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) into (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [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 (+ (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) 0) (+ (* 0 0) (* 0 (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) 0) (+ (* 0 0) (* 0 (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) into (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [misc]backup-simplify:  Simplify (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) into (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]backup-simplify:  Simplify (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) into (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]backup-simplify:  Simplify (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) into (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]backup-simplify:  Simplify (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) into (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1) in J
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J
* [misc]taylor:  Taking taylor expansion of (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J
* [misc]backup-simplify:  Simplify (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1) into (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)) in K
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1) in K
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K
* [misc]taylor:  Taking taylor expansion of (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K
* [misc]backup-simplify:  Simplify (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1) into (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [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 (+ (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 0) (+ (* 0 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 0) (+ (* 0 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]backup-simplify:  Simplify (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) into (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]backup-simplify:  Simplify (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) into (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]backup-simplify:  Simplify (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) into (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]backup-simplify:  Simplify (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) into (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)) in J
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1) in J
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J
* [misc]taylor:  Taking taylor expansion of (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J
* [misc]backup-simplify:  Simplify (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1) into (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) 0) (* 0 (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)) in K
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1) in K
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K
* [misc]taylor:  Taking taylor expansion of (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K
* [misc]backup-simplify:  Simplify (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1) into (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) 0) (* 0 (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [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 (+ (* (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) 0) (+ (* 0 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) 0) (+ (* 0 0) (* 0 (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 J) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))) in U
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]backup-simplify:  Simplify (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) into (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))) into (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) into (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 J) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [misc]backup-simplify:  Simplify (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) into (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))) into (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) into (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]backup-simplify:  Simplify (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) into (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))) into (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) into (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 J) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]backup-simplify:  Simplify (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) into (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))) into (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) into (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) into 0
* [misc]backup-simplify:  Simplify (* -2 0) into 0
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))) into (* (cos (* 1/2 K)) (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))
* [misc]backup-simplify:  Simplify (* 0 (* (cos (* 1/2 K)) (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [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 (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 1) (* 0 0)) into -2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))))) into (- (* 2 (* (cos (* 1/2 K)) (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (* (cos (* 1/2 K)) (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 K)) (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))) in K
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))) in K
* [misc]taylor:  Taking taylor expansion of (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) in K
* [misc]backup-simplify:  Simplify (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) into (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))) into (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) into (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) into 0
* [misc]backup-simplify:  Simplify (* 1 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))) into (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))
* [misc]backup-simplify:  Simplify (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))) into (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))
* [misc]backup-simplify:  Simplify (- (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) into (- (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))) in U
* [misc]taylor:  Taking taylor expansion of (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) in U
* [misc]backup-simplify:  Simplify (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) into (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))) into (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) into (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) into 0
* [misc]backup-simplify:  Simplify (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))) into (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))
* [misc]backup-simplify:  Simplify (- (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) into (- (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))))
* [misc]backup-simplify:  Simplify (- (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) into (- (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))))
* [misc]taylor:  Taking taylor expansion of 0 in U
* [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 (+ (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) 0) (+ (* 0 0) (* 0 (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (- (* 2 (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))) (* 1 (* 1 J))) into (* -2 (* (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) J))
* [misc]approximate:  Taking taylor expansion of (* (* -2 (/ 1 J)) (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))))) in U
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]backup-simplify:  Simplify (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) into (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [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 K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [misc]backup-simplify:  Simplify (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) into (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [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 (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]backup-simplify:  Simplify (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) into (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 J)) (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [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 (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]backup-simplify:  Simplify (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) into (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) into 0
* [misc]backup-simplify:  Simplify (* -2 1) into -2
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))) into (* (cos (/ 1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))
* [misc]backup-simplify:  Simplify (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) into (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))))
* [misc]taylor:  Taking taylor expansion of (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)) in K
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1) in K
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K
* [misc]taylor:  Taking taylor expansion of (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K
* [misc]backup-simplify:  Simplify (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1) into (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))) into (* (cos (/ 1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))
* [misc]backup-simplify:  Simplify (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) into (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))))
* [misc]taylor:  Taking taylor expansion of (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))) in U
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in U
* [misc]taylor:  Taking taylor expansion of 1/2 in U
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)) in U
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1) in U
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in U
* [misc]taylor:  Taking taylor expansion of (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in U
* [misc]backup-simplify:  Simplify (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1) into (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))) into (* (cos (/ 1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))
* [misc]backup-simplify:  Simplify (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) into (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))))
* [misc]backup-simplify:  Simplify (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) into (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (* (cos (/ 1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (* (cos (/ 1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [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 (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (* (cos (/ 1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 0) (+ (* 0 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (cos (/ 1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 0) (+ (* 0 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (cos (/ 1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (* (cos (/ 1/2 K)) J) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))))
* [misc]approximate:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))))) in U
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))))) in U
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]backup-simplify:  Simplify (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) into (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))))) in K
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]backup-simplify:  Simplify (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) into (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]backup-simplify:  Simplify (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) into (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* -2 (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))))) in J
* [misc]taylor:  Taking taylor expansion of (* -2 (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))))) in J
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (+ 1 (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]backup-simplify:  Simplify (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) into (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))
* [misc]backup-simplify:  Simplify (+ 1 (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) into 0
* [misc]backup-simplify:  Simplify (* -2 -1) into 2
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))) into (* (cos (/ -1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))
* [misc]backup-simplify:  Simplify (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) into (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))))
* [misc]taylor:  Taking taylor expansion of (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))) in K
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)) in K
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1) in K
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K
* [misc]taylor:  Taking taylor expansion of (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K
* [misc]backup-simplify:  Simplify (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1) into (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) 0) (* 0 (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))) into (* (cos (/ -1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))
* [misc]backup-simplify:  Simplify (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) into (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))))
* [misc]taylor:  Taking taylor expansion of (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) in U
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))) in U
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in U
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in U
* [misc]taylor:  Taking taylor expansion of -1/2 in U
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)) in U
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1) in U
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in U
* [misc]taylor:  Taking taylor expansion of (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in U
* [misc]backup-simplify:  Simplify (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))
* [misc]backup-simplify:  Simplify (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1) into (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)) into (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) 0) (* 0 (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))) into (* (cos (/ -1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))
* [misc]backup-simplify:  Simplify (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) into (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))))
* [misc]backup-simplify:  Simplify (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) into (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))))
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 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 (+ (* -2 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* (cos (/ -1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* (cos (/ -1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* (cos (/ -1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) 0) (+ (* 0 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 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 (+ (* -2 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* (cos (/ -1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) 0) (+ (* 0 0) (* 0 (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* (cos (/ -1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (* (cos (/ -1/2 K)) J) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 2 1 2)
* [misc]approximate:  Taking taylor expansion of (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [misc]backup-simplify:  Simplify (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) into (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]backup-simplify:  Simplify (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) into (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]backup-simplify:  Simplify (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) into (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]backup-simplify:  Simplify (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) into (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))) into (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))) in J
* [misc]taylor:  Taking taylor expansion of (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) in J
* [misc]backup-simplify:  Simplify (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) into (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))) into (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))) in K
* [misc]taylor:  Taking taylor expansion of (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) in K
* [misc]backup-simplify:  Simplify (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) into (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))) into (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
* [misc]backup-simplify:  Simplify (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))) into (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) 0) (+ (* 0 0) (* 0 (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))) 0) (+ (* 0 0) (* 0 (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))) into (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
* [misc]approximate:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [misc]backup-simplify:  Simplify (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) into (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]backup-simplify:  Simplify (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) into (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]backup-simplify:  Simplify (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) into (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]backup-simplify:  Simplify (fabs (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) into (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in J
* [misc]taylor:  Taking taylor expansion of (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in J
* [misc]backup-simplify:  Simplify (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) in K
* [misc]taylor:  Taking taylor expansion of (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) in K
* [misc]backup-simplify:  Simplify (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))
* [misc]backup-simplify:  Simplify (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 0) (+ (* 0 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 0) (+ (* 0 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))
* [misc]approximate:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]backup-simplify:  Simplify (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) into (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K))))))
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]backup-simplify:  Simplify (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) into (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K))))))
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]backup-simplify:  Simplify (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) into (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K))))))
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]backup-simplify:  Simplify (fabs (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) into (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K))))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K))))))) into (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in J
* [misc]taylor:  Taking taylor expansion of (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in J
* [misc]backup-simplify:  Simplify (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))
* [misc]taylor:  Taking taylor expansion of (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) in K
* [misc]taylor:  Taking taylor expansion of (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) in K
* [misc]backup-simplify:  Simplify (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))
* [misc]backup-simplify:  Simplify (* (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))
* [misc]backup-simplify:  Simplify (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) 0) (* 0 (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) 0) (* 0 (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) 0) (+ (* 0 0) (* 0 (fabs (* 1/2 (/ J (* U (cos (/ -1/2 K))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) 0) (+ (* 0 0) (* 0 (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 2 1 2 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (/ U (+ J J)) (cos (/ K 2))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ U (+ J J)) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ U (+ J J)) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (+ J J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (+ J J) into (* 2 J)
* [misc]backup-simplify:  Simplify (/ U (* 2 J)) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ K 2) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J))
* [misc]taylor:  Taking taylor expansion of (/ (/ U (+ J J)) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ U (+ J J)) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]taylor:  Taking taylor expansion of (+ J J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of J in J
* [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 1) into 2
* [misc]backup-simplify:  Simplify (/ U 2) into (* 1/2 U)
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ K 2) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (/ (* 1/2 U) (cos (* 1/2 K))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (/ (/ U (+ J J)) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ U (+ J J)) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ J J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (+ J J) into (* 2 J)
* [misc]backup-simplify:  Simplify (/ 1 (* 2 J)) into (/ 1/2 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]taylor:  Taking taylor expansion of (/ (/ U (+ J J)) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ U (+ J J)) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ J J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (+ J J) into (* 2 J)
* [misc]backup-simplify:  Simplify (/ 1 (* 2 J)) into (/ 1/2 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ K 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ K 2) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ K 2) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) into (/ 1/2 (* (cos (* 1/2 K)) J))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (* 1/2 K) into (* 1/2 K)
* [misc]backup-simplify:  Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (* 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 K)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (* 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (* 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (/ 1/2 J) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [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 1) (+ (* 1/2 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (/ 1/2 J) (/ 0 (* 2 J))) (* 0 (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/16
* [misc]backup-simplify:  Simplify 1/16 into 1/16
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (/ 1/2 J) (/ 0 (* 2 J))) (* 0 (/ 0 (* 2 J))) (* 0 (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/16 (* (sqr K) (* (/ 1 J) U))) (* 1/2 (* 1 (* (/ 1 J) U)))) into (+ (* 1/16 (/ (* (sqr K) U) J)) (* 1/2 (/ U J)))
* [misc]approximate:  Taking taylor expansion of (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 J) (/ 1 J)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]backup-simplify:  Simplify (+ (/ 1 J) (/ 1 J)) into (* 2 (/ 1 J))
* [misc]backup-simplify:  Simplify (/ (/ 1 U) (* 2 (/ 1 J))) into (* 1/2 (/ J U))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [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 K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) into (* 1/2 (/ J (* U (cos (/ 1/2 K)))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (/ 1 U) into (/ 1 U)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 J) (/ 1 J)) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [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 J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [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 2
* [misc]backup-simplify:  Simplify (/ (/ 1 U) 2) into (/ 1/2 U)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ (/ 1/2 U) (cos (/ 1/2 K))) into (/ 1/2 (* (cos (/ 1/2 K)) U))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [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 J) (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]backup-simplify:  Simplify (+ (/ 1 J) (/ 1 J)) into (* 2 (/ 1 J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ 1 J))) into (* 1/2 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [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 J) (/ 1 J)) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]taylor:  Taking taylor expansion of (/ 1 J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (/ 1 J) into (/ 1 J)
* [misc]backup-simplify:  Simplify (+ (/ 1 J) (/ 1 J)) into (* 2 (/ 1 J))
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (/ 1 J))) into (* 1/2 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 K) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1 K) into (/ 1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 K) 2) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ 1/2 K) into (/ 1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ 1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ 1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ 1/2 K) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
* [misc]backup-simplify:  Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ 1 J))) (+ (* (* 1/2 J) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [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 (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 (/ 1 J))) (+ (* (* 1/2 J) (/ 0 (* 2 (/ 1 J)))) (* 0 (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (cos (/ 1/2 K))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* J (cos (/ 1/2 K)))))
* [misc]approximate:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in K
* [misc]taylor:  Taking taylor expansion of (- U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- J)) (/ 1 (- J))) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in K
* [misc]taylor:  Taking taylor expansion of (- J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]backup-simplify:  Simplify (+ (/ -1 J) (/ -1 J)) into (- (* 2 (/ 1 J)))
* [misc]backup-simplify:  Simplify (/ (/ -1 U) (- (* 2 (/ 1 J)))) into (* 1/2 (/ J U))
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in K
* [misc]taylor:  Taking taylor expansion of (- K) in K
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) into (* 1/2 (/ J (* U (cos (/ -1/2 K)))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in J
* [misc]taylor:  Taking taylor expansion of (- U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (/ 1 (- U)) into (/ -1 U)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- J)) (/ 1 (- J))) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- J)) in J
* [misc]taylor:  Taking taylor expansion of (- J) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 -2
* [misc]backup-simplify:  Simplify (/ (/ -1 U) -2) into (/ 1/2 U)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in J
* [misc]taylor:  Taking taylor expansion of (- K) in J
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ (/ 1/2 U) (cos (/ -1/2 K))) into (/ 1/2 (* (cos (/ -1/2 K)) U))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- J)) (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]backup-simplify:  Simplify (+ (/ -1 J) (/ -1 J)) into (- (* 2 (/ 1 J)))
* [misc]backup-simplify:  Simplify (/ -1 (- (* 2 (/ 1 J)))) into (* 1/2 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- U)) in U
* [misc]taylor:  Taking taylor expansion of (- U) in U
* [misc]taylor:  Taking taylor expansion of U in U
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (- J)) (/ 1 (- J))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- J)) in U
* [misc]taylor:  Taking taylor expansion of (- J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (/ 1 (- J)) into (/ -1 J)
* [misc]backup-simplify:  Simplify (+ (/ -1 J) (/ -1 J)) into (- (* 2 (/ 1 J)))
* [misc]backup-simplify:  Simplify (/ -1 (- (* 2 (/ 1 J)))) into (* 1/2 J)
* [misc]taylor:  Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (- K)) in U
* [misc]taylor:  Taking taylor expansion of (- K) in U
* [misc]taylor:  Taking taylor expansion of K in U
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (/ 1 (- K)) into (/ -1 K)
* [misc]taylor:  Taking taylor expansion of 2 in U
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 K) 2) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 1/2 in J
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
* [misc]taylor:  Taking taylor expansion of J in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in J
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in J
* [misc]taylor:  Taking taylor expansion of -1/2 in J
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in J
* [misc]backup-simplify:  Simplify K into K
* [misc]backup-simplify:  Simplify (/ -1/2 K) into (/ -1/2 K)
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (* (sin (/ -1/2 K)) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of 1/2 in K
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (cos (/ -1/2 K)) in K
* [misc]taylor:  Taking taylor expansion of (/ -1/2 K) in K
* [misc]taylor:  Taking taylor expansion of -1/2 in K
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of K in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
* [misc]backup-simplify:  Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
* [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 (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* 2 (/ 1 J)))) (+ (* (* 1/2 J) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- J) into (- J)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* 2 (/ 1 J)))) (+ (* (* 1/2 J) (/ 0 (- (* 2 (/ 1 J))))) (* 0 (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in K
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (cos (/ -1/2 K))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (/ -1/2 K)) J)))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 2 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 2 1 2 1 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 80 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (* (fabs (/ (* U (/ 1/2 J)) (cos (* 1/2 K)))) (fabs (/ (* U (/ 1/2 J)) (cos (* 1/2 K))))))) (* (* J -2) (cos (/ K 2))))
* * * * [misc]progress:  [ 2 / 80 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (sqr (fabs (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))))))) (* (* J -2) (cos (/ K 2))))
* * * * [misc]progress:  [ 3 / 80 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (139 enodes)
* [exit]simplify:  Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (fabs (/ (* J (/ 1/2 U)) (cos (/ -1/2 K)))) (fabs (/ (* J (/ 1/2 U)) (cos (/ -1/2 K))))) 1)))
* * * * [misc]progress:  [ 4 / 80 ] simplifiying candidate #<alt-event (λ (J K U) (* -2 (* (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) J)))>
* [enter]simplify:  Simplifying (* -2 (* (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))) J))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* * [misc]simplify:  iters left: 1 (96 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (* (fabs (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))) (fabs (/ (/ (* 1/2 U) J) (cos (* 1/2 K))))) 1)) (* -2 J))
* * * * [misc]progress:  [ 5 / 80 ] simplifiying candidate #<alt-event (λ (J K U) (* -2 (* (* (cos (/ 1/2 K)) J) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1)))))>
* [enter]simplify:  Simplifying (* -2 (* (* (cos (/ 1/2 K)) J) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 1))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (* (fabs (/ (/ J (/ U 1/2)) (cos (/ 1/2 K)))) (fabs (/ (/ J (/ U 1/2)) (cos (/ 1/2 K))))))) (* (* J -2) (cos (/ 1/2 K))))
* * * * [misc]progress:  [ 6 / 80 ] simplifiying candidate #<alt-event (λ (J K U) (* -2 (* (* (cos (/ -1/2 K)) J) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1)))))>
* [enter]simplify:  Simplifying (* -2 (* (* (cos (/ -1/2 K)) J) (sqrt (+ (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 1))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (* (* (cos (/ -1/2 K)) (* J -2)) (sqrt (+ 1 (* (fabs (/ (* (/ 1/2 U) J) (cos (/ -1/2 K)))) (fabs (/ (* (/ 1/2 U) J) (cos (/ -1/2 K))))))))
* * * * [misc]progress:  [ 7 / 80 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K))))))))))))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (* (fabs (/ (* U (/ 1/2 J)) (cos (* 1/2 K)))) (fabs (/ (* U (/ 1/2 J)) (cos (* 1/2 K))))))) (* (* J -2) (cos (/ K 2))))
* * * * [misc]progress:  [ 8 / 80 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))))))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (* (fabs (/ (* (/ 1/2 U) J) (cos (/ 1/2 K)))) (fabs (/ (* (/ 1/2 U) J) (cos (/ 1/2 K))))))) (* (* J -2) (cos (/ K 2))))
* * * * [misc]progress:  [ 9 / 80 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))))))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (139 enodes)
* [exit]simplify:  Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (sqr (fabs (/ (* (/ 1/2 U) J) (cos (/ -1/2 K))))))))
* * * * [misc]progress:  [ 10 / 80 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (+ (* 1/16 (/ (* (sqr K) U) J)) (* 1/2 (/ U J))))))))))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (+ (* 1/16 (/ (* (sqr K) U) J)) (* 1/2 (/ U J)))))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (sqr (fabs (* U (+ (/ (sqr K) (/ J 1/16)) (/ 1/2 J))))) 1)))
* * * * [misc]progress:  [ 11 / 80 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (/ 1/2 K))))))))))))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* J (cos (/ 1/2 K)))))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 (* (fabs (/ (* (/ U J) 1/2) (cos (/ 1/2 K)))) (fabs (/ (* (/ U J) 1/2) (cos (/ 1/2 K))))))) (* (* J -2) (cos (/ K 2))))
* * * * [misc]progress:  [ 12 / 80 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* (cos (/ -1/2 K)) J))))))))))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (* 1/2 (/ U (* (cos (/ -1/2 K)) J)))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (139 enodes)
* [exit]simplify:  Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (sqr (fabs (/ (* 1/2 (/ U J)) (cos (/ -1/2 K))))))))
* * * * [misc]progress:  [ 13 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (pow (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))) 1/2))))>
* * * * [misc]progress:  [ 14 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (pow (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))) 1))))>
* * * * [misc]progress:  [ 15 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (exp (log (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (log (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (log (sqrt (+ 1 (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))
* [exit]simplify:  Simplified to (log (sqrt (+ 1 (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 16 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (log (exp (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (exp (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (+ 1 (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))
* [exit]simplify:  Simplified to (exp (sqrt (+ 1 (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 17 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (cube (cbrt (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ 1 (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))
* [exit]simplify:  Simplified to (cbrt (sqrt (+ 1 (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 18 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (cbrt (cube (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (cube (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (* (+ 1 (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (+ 1 (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))
* [exit]simplify:  Simplified to (* (+ 1 (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (+ 1 (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 19 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (* (sqrt 1) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 20 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (/ (sqrt (+ (pow 1 3) (pow (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 3))) (sqrt (+ (sqr 1) (- (sqr (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))) (* 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow 1 3) (pow (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 3)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (cube (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))) 1))
* [exit]simplify:  Simplified to (sqrt (+ (cube (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))) 1))
* [enter]simplify:  Simplifying (sqrt (+ (sqr 1) (- (sqr (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))) (* 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* * [misc]simplify:  iters left: 1 (100 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (- 1 (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))
* [exit]simplify:  Simplified to (sqrt (+ (- 1 (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 21 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (/ (sqrt (- (sqr 1) (sqr (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))) (sqrt (- 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (sqrt (- (sqr 1) (sqr (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (* (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))
* [exit]simplify:  Simplified to (sqrt (- 1 (* (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))
* [enter]simplify:  Simplifying (sqrt (- 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (- 1 (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (sqrt (- 1 (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 22 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqr (sqrt (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (+ 1 (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 23 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (fabs (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))))>
* * * * [misc]progress:  [ 24 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (* 1 (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))))>
* * * * [misc]progress:  [ 25 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))) 1))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (86 enodes)
* [exit]simplify:  Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1)))
* [exit]simplify:  Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1)))
* * * * [misc]progress:  [ 26 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))) 1))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (86 enodes)
* [exit]simplify:  Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1)))
* [exit]simplify:  Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1)))
* * * * [misc]progress:  [ 27 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))) 1))>
* * * * [misc]progress:  [ 28 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (+ (log (* -2 J)) (+ (log (cos (/ K 2))) (log (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (+ (log (* -2 J)) (+ (log (cos (/ K 2))) (log (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* * [misc]simplify:  iters left: 1 (95 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))
* [exit]simplify:  Simplified to (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 29 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (+ (log (* -2 J)) (log (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (+ (log (* -2 J)) (log (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (log (* J -2))))
* [exit]simplify:  Simplified to (+ (log (sqrt (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (log (* J -2))))
* * * * [misc]progress:  [ 30 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (log (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (log (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (139 enodes)
* * [misc]simplify:  iters left: 1 (154 enodes)
* [exit]simplify:  Simplified to (log (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1))))
* [exit]simplify:  Simplified to (log (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1))))
* * * * [misc]progress:  [ 31 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (log (exp (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (exp (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (93 enodes)
* * [misc]simplify:  iters left: 1 (97 enodes)
* [exit]simplify:  Simplified to (exp (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1))))
* [exit]simplify:  Simplified to (exp (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1))))
* * * * [misc]progress:  [ 32 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (cube (* -2 J)) (* (cube (cos (/ K 2))) (cube (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (* (cube (* -2 J)) (* (cube (cos (/ K 2))) (cube (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* * [misc]simplify:  iters left: 2 (268 enodes)
* * [misc]simplify:  iters left: 1 (460 enodes)
* [exit]simplify:  Simplified to (* (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* (cube (* J -2)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))))) (* (* (cube (* J -2)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))
* [exit]simplify:  Simplified to (* (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* (cube (* J -2)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))))) (* (* (cube (* J -2)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 33 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (cube (* -2 J)) (cube (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (* (cube (* -2 J)) (cube (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (288 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1)) (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1)) (* (cube (cos (/ K 2))) (cube (* J -2))))
* [exit]simplify:  Simplified to (* (* (sqrt (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1)) (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1)) (* (cube (cos (/ K 2))) (cube (* J -2))))
* * * * [misc]progress:  [ 34 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (cube (cbrt (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (cbrt (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1))))
* [exit]simplify:  Simplified to (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1))))
* * * * [misc]progress:  [ 35 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (cube (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (cube (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* * [misc]simplify:  iters left: 2 (242 enodes)
* * [misc]simplify:  iters left: 1 (434 enodes)
* [exit]simplify:  Simplified to (cube (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1))))
* [exit]simplify:  Simplified to (cube (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1))))
* * * * [misc]progress:  [ 36 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (cube (* (cbrt (* -2 J)) (cbrt (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* -2 J)) (cbrt (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* J -2)) (cbrt (* (cos (/ K 2)) (sqrt (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1)))))
* [exit]simplify:  Simplified to (* (cbrt (* J -2)) (cbrt (* (cos (/ K 2)) (sqrt (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1)))))
* * * * [misc]progress:  [ 37 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (cube (* (cbrt (* -2 J)) (* (cbrt (cos (/ K 2))) (cbrt (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* -2 J)) (* (cbrt (cos (/ K 2))) (cbrt (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (cos (/ K 2))) (cbrt (* J -2))) (cbrt (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))
* [exit]simplify:  Simplified to (* (* (cbrt (cos (/ K 2))) (cbrt (* J -2))) (cbrt (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 38 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (sqr (sqrt (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (sqrt (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1))))
* [exit]simplify:  Simplified to (sqrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1))))
* * * * [misc]progress:  [ 39 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (sqr (* (sqrt (* -2 J)) (sqrt (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (* (sqrt (* -2 J)) (sqrt (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* J -2)) (sqrt (* (cos (/ K 2)) (sqrt (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1)))))
* [exit]simplify:  Simplified to (* (sqrt (* J -2)) (sqrt (* (cos (/ K 2)) (sqrt (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1)))))
* * * * [misc]progress:  [ 40 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (sqr (* (sqrt (* -2 J)) (* (sqrt (cos (/ K 2))) (sqrt (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (* (sqrt (* -2 J)) (* (sqrt (cos (/ K 2))) (sqrt (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (cos (/ K 2))) (sqrt (* J -2))) (sqrt (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))
* [exit]simplify:  Simplified to (* (* (sqrt (cos (/ K 2))) (sqrt (* J -2))) (sqrt (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 41 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* 1 (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))))>
* * * * [misc]progress:  [ 42 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* -2 J) (cos (/ K 2)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (* (* J -2) (cos (/ K 2)))
* [exit]simplify:  Simplified to (* (* J -2) (cos (/ K 2)))
* * * * [misc]progress:  [ 43 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* -2 (* J (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (* J (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (48 enodes)
* [exit]simplify:  Simplified to (* (* J (cos (/ K 2))) (sqrt (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1)))
* [exit]simplify:  Simplified to (* (* J (cos (/ K 2))) (sqrt (+ (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1)))
* * * * [misc]progress:  [ 44 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (/ (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ (pow 1 3) (pow (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 3))))) (sqrt (+ (sqr 1) (- (sqr (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))) (* 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ (pow 1 3) (pow (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 3)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (cube (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))
* [exit]simplify:  Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (cube (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))
* * * * [misc]progress:  [ 45 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (/ (* (* -2 J) (* (cos (/ K 2)) (sqrt (- (sqr 1) (sqr (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))) (sqrt (- 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (- (sqr 1) (sqr (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (131 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- 1 (sqr (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))) (* (* J -2) (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (sqrt (- 1 (sqr (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))) (* (* J -2) (cos (/ K 2))))
* * * * [misc]progress:  [ 46 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))) (* -2 J)))>
* * * * [misc]progress:  [ 47 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) 2))))))>
* * * * [misc]progress:  [ 48 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))) 1))))))>
* * * * [misc]progress:  [ 49 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (exp (log (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (log (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (36 enodes)
* [exit]simplify:  Simplified to (log (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 50 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (log (exp (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (exp (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (exp (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (exp (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 51 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (cube (cbrt (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (cbrt (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (cbrt (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 52 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (cbrt (cube (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (cube (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (sqr (cube (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqr (cube (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 53 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (sqrt (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (sqrt (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (fabs (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (fabs (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 54 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (* (sqr 1) (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (sqr 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (* 1 1)
* [exit]simplify:  Simplified to (* 1 1)
* [enter]simplify:  Simplifying (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 55 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (* (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* * * * [misc]progress:  [ 56 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (* 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2)))))))))))>
* * * * [misc]progress:  [ 57 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (pow (/ (/ U (+ J J)) (cos (/ K 2))) 1))))))))>
* * * * [misc]progress:  [ 58 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (exp (- (log (/ U (+ J J))) (log (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (- (log (/ U (+ J J))) (log (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (- (log (/ U (+ J J))) (log (cos (/ K 2))))
* [exit]simplify:  Simplified to (- (log (/ U (+ J J))) (log (cos (/ K 2))))
* * * * [misc]progress:  [ 59 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (exp (log (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (log (/ (/ U (+ J J)) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (log (/ (/ U (+ J J)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (log (/ (/ U (+ J J)) (cos (/ K 2))))
* * * * [misc]progress:  [ 60 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (log (exp (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (exp (/ (/ U (+ J J)) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (exp (/ (/ U (+ J J)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (exp (/ (/ U (+ J J)) (cos (/ K 2))))
* * * * [misc]progress:  [ 61 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (cbrt (/ (cube (/ U (+ J J))) (cube (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (/ (cube (/ U (+ J J))) (cube (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (208 enodes)
* [exit]simplify:  Simplified to (cube (/ (/ U (+ J J)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (cube (/ (/ U (+ J J)) (cos (/ K 2))))
* * * * [misc]progress:  [ 62 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (cube (cbrt (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (cbrt (/ (/ U (+ J J)) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (/ U (+ J J)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (cbrt (/ (/ U (+ J J)) (cos (/ K 2))))
* * * * [misc]progress:  [ 63 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (cbrt (cube (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (cube (/ (/ U (+ J J)) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (321 enodes)
* [exit]simplify:  Simplified to (cube (/ (/ U (+ J J)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (cube (/ (/ U (+ J J)) (cos (/ K 2))))
* * * * [misc]progress:  [ 64 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (cube (/ (cbrt (/ U (+ J J))) (cbrt (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (/ (cbrt (/ U (+ J J))) (cbrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ U (+ J J))) (cbrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ U (+ J J))) (cbrt (cos (/ K 2))))
* * * * [misc]progress:  [ 65 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (sqr (sqrt (/ (/ U (+ J J)) (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ U (+ J J)) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ U (+ J J)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (sqrt (/ (/ U (+ J J)) (cos (/ K 2))))
* * * * [misc]progress:  [ 66 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (sqr (/ (sqrt (/ U (+ J J))) (sqrt (cos (/ K 2))))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ U (+ J J))) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ U (+ J J))) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ U (+ J J))) (sqrt (cos (/ K 2))))
* * * * [misc]progress:  [ 67 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (- (/ U (+ J J))) (- (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (- (/ U (+ J J)))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* [exit]simplify:  Simplified to (/ (- U) (+ J J))
* [exit]simplify:  Simplified to (/ (- U) (+ J J))
* [enter]simplify:  Simplifying (- (cos (/ K 2)))
* * [misc]simplify:  iters left: 5 (5 enodes)
* [exit]simplify:  Simplified to (- (cos (/ K 2)))
* [exit]simplify:  Simplified to (- (cos (/ K 2)))
* * * * [misc]progress:  [ 68 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (* (/ 1 1) (/ (/ U (+ J J)) (cos (/ K 2)))))))))))>
* [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 (/ (/ U (+ J J)) (cos (/ K 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ (/ U (+ J J)) (cos (/ K 2)))
* [exit]simplify:  Simplified to (/ (/ U (+ J J)) (cos (/ K 2)))
* * * * [misc]progress:  [ 69 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (* (/ U 1) (/ (/ 1 (+ J J)) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (/ U 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ U 1)
* [exit]simplify:  Simplified to (/ U 1)
* [enter]simplify:  Simplifying (/ (/ 1 (+ J J)) (cos (/ K 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ J J)) (cos (/ K 2)))
* [exit]simplify:  Simplified to (/ (/ 1 (+ J J)) (cos (/ K 2)))
* * * * [misc]progress:  [ 70 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (* (/ (/ U (+ (pow J 3) (pow J 3))) 1) (/ (+ (sqr J) (- (sqr J) (* J J))) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (/ (/ U (+ (pow J 3) (pow J 3))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (39 enodes)
* [exit]simplify:  Simplified to (/ (/ U 2) (cube J))
* [exit]simplify:  Simplified to (/ (/ U 2) (cube J))
* [enter]simplify:  Simplifying (/ (+ (sqr J) (- (sqr J) (* J J))) (cos (/ K 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (/ (* J J) (cos (/ K 2)))
* [exit]simplify:  Simplified to (/ (* J J) (cos (/ K 2)))
* * * * [misc]progress:  [ 71 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (* (/ (/ U (- (sqr J) (sqr J))) 1) (/ (- J J) (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (/ (/ U (- (sqr J) (sqr J))) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ U 0)
* [exit]simplify:  Simplified to (/ U 0)
* [enter]simplify:  Simplifying (/ (- J J) (cos (/ K 2)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to 0
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 72 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (* 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))))>
* * * * [misc]progress:  [ 73 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (* (/ U (+ J J)) (/ 1 (cos (/ K 2)))))))))))>
* [enter]simplify:  Simplifying (/ 1 (cos (/ K 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (cos (/ K 2)))
* [exit]simplify:  Simplified to (/ 1 (cos (/ K 2)))
* * * * [misc]progress:  [ 74 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ 1 (/ (cos (/ K 2)) (/ U (+ J J)))))))))))>
* [enter]simplify:  Simplifying (/ (cos (/ K 2)) (/ U (+ J J)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (/ U (+ J J)))
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (/ U (+ J J)))
* * * * [misc]progress:  [ 75 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ (/ U (+ J J)) 1) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (/ (/ U (+ J J)) 1)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (/ U (+ J J))
* [exit]simplify:  Simplified to (/ U (+ J J))
* * * * [misc]progress:  [ 76 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ 1 (/ (cos (/ K 2)) (/ U (+ J J)))))))))))>
* [enter]simplify:  Simplifying (/ (cos (/ K 2)) (/ U (+ J J)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (/ U (+ J J)))
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (/ U (+ J J)))
* * * * [misc]progress:  [ 77 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ U (/ (cos (/ K 2)) (/ 1 (+ J J)))))))))))>
* [enter]simplify:  Simplifying (/ (cos (/ K 2)) (/ 1 (+ J J)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (57 enodes)
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (/ 1 (+ J J)))
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (/ 1 (+ J J)))
* * * * [misc]progress:  [ 78 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ (pow J 3) (pow J 3))) (/ (cos (/ K 2)) (+ (sqr J) (- (sqr J) (* J J))))))))))))>
* [enter]simplify:  Simplifying (/ (cos (/ K 2)) (+ (sqr J) (- (sqr J) (* J J))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (* J J))
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (* J J))
* * * * [misc]progress:  [ 79 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (- (sqr J) (sqr J))) (/ (cos (/ K 2)) (- J J))))))))))>
* [enter]simplify:  Simplifying (/ (cos (/ K 2)) (- J J))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) 0)
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) 0)
* * * * [misc]progress:  [ 80 / 80 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ U (* (cos (/ K 2)) (+ J J))))))))))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) (+ J J))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (13 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 (* (cos (/ K 2)) (+ J J))
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (+ J J))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt-event (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))> #<alt-delta (λ (J K U) (exp (+ (log (* (* -2 J) (cos (/ K 2)))) (log (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))> #<alt-delta (λ (J K U) (cbrt (* (* (cube (* -2 J)) (cube (cos (/ K 2)))) (cube (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))> #<alt-delta (λ (J K U) (/ (* (sqrt (+ 1 (cube (sqr (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (* J -2) (cos (/ K 2)))) (sqrt (+ (sqr 1) (- (sqr (sqr (/ U (* (* 2 J) (cos (/ K 2)))))) (* 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))> #<alt-event (λ (J K U) (* -2 (* (cos (/ 1/2 K)) J)))> #<alt-event (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (* 1/2 (/ U (* J (cos (/ 1/2 K))))))))> #<alt-delta (λ (J K U) (* (* (/ 1/2 (/ 1 -2)) (cos (/ K 2))) (/ U (cos (/ 1/2 K)))))> #<alt-delta (λ (J K U) (cube (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))))> #<alt-delta (λ (J K U) (* (cos (/ K 2)) (* J -2)))> #<alt-delta (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (sqr (fabs (/ (/ U (+ J J)) (cos (/ K 2))))))))))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 U +inf.0)) , with alts (#<alt-event (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))>)
* [enter]simplify:  Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (472 enodes)
* [exit]simplify:  Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))
* [enter]simplify:  Simplifying (+ (log (* (* -2 J) (cos (/ K 2)))) (log (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (208 enodes)
* * [misc]simplify:  iters left: 1 (464 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))) (log (* (* J -2) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (+ (log (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))) (log (* (* J -2) (cos (/ K 2)))))
* [enter]simplify:  Simplifying (* (* (cube (* -2 J)) (cube (cos (/ K 2)))) (cube (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (335 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)) (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)) (* (* (cube (* J -2)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* (sqrt (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)) (+ (sqr (/ (/ U (+ J J)) (cos (/ K 2)))) 1)) (* (* (cube (* J -2)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))))
* [enter]simplify:  Simplifying (sqrt (+ 1 (cube (sqr (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (324 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (cube (/ (/ U (+ J J)) (cos (/ K 2)))) (cube (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (sqrt (+ 1 (* (cube (/ (/ U (+ J J)) (cos (/ K 2)))) (cube (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (* (* J -2) (cos (/ K 2)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (14 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (* (* -2 J) (cos (/ K 2)))
* [exit]simplify:  Simplified to (* (* -2 J) (cos (/ K 2)))
* [enter]simplify:  Simplifying (* -2 (* (cos (/ 1/2 K)) J))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* [exit]simplify:  Simplified to (* (* J -2) (cos (/ 1/2 K)))
* [enter]simplify:  Simplifying (* (* -2 J) (* (cos (/ K 2)) (* 1/2 (/ U (* J (cos (/ 1/2 K)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (268 enodes)
* [exit]simplify:  Simplified to (* (/ (* (/ 1/2 J) U) (cos (/ 1/2 K))) (* (* J -2) (cos (/ K 2))))
* [enter]simplify:  Simplifying (* (/ 1/2 (/ 1 -2)) (cos (/ K 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (69 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (/ 1/2 (/ 1 -2)))
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (/ 1/2 (/ 1 -2)))
* [enter]simplify:  Simplifying (/ U (cos (/ 1/2 K)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to (/ U (cos (/ 1/2 K)))
* [exit]simplify:  Simplified to (/ U (cos (/ 1/2 K)))
* [enter]simplify:  Simplifying (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (sqr (/ U (* (* 2 J) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (194 enodes)
* * [misc]simplify:  iters left: 1 (498 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1))))
* [exit]simplify:  Simplified to (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) 1))))
* [enter]simplify:  Simplifying (cos (/ K 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (cos (/ K 2))
* [exit]simplify:  Simplified to (cos (/ K 2))
* [enter]simplify:  Simplifying (* J -2)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (* -2 J)
* [exit]simplify:  Simplified to (* -2 J)
* [enter]simplify:  Simplifying (/ (/ U (+ J J)) (cos (/ K 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ (/ U (+ J J)) (cos (/ K 2)))
* [exit]simplify:  Simplified to (/ (/ U (+ J J)) (cos (/ K 2)))