* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* * [misc]simplify:  iters left: 1 (444 enodes)
* [exit]simplify:  Simplified to (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* J -2) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* J -2) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (/ (pow U 2) (pow J 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* J -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in 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 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]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (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 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* J -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in 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 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]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (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 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (* 0 -2) 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 (+ (* 0 0) (* 1 -2)) 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 (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)) (* 0 (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)) (* 0 (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (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 (pow 0 2) (+)) (* 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 (+ (* 0 0) (+ (* 1 0) (* 0 -2))) 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 (* (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* (/ 1 J) -2) 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 -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* (/ 1 J) -2) 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 -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* (/ 1 J) -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [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 J) -2) (cos (/ (/ 1 K) 2))) (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* (/ 1 J) -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* 1 -2) 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 (+ (* 1 0) (* 0 -2)) 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 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 1/2 (* (cos (/ 1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [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 (+ (* 1 0) (+ (* 0 0) (* 0 -2))) 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 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))) 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)) (pow U 2))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1/2 K)) (pow U 2)) 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 (pow U 2) in K
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (pow U 2)) into (* (cos (/ 1/2 K)) (pow U 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (cos (/ 1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ 1/2 K)) (pow U 2)))
* [misc]backup-simplify:  Simplify (- (/ 1/4 (* (cos (/ 1/2 K)) (pow U 2)))) into (- (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))) 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)) (pow U 2))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1/2 K)) (pow U 2)) 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 (pow U 2) in U
* [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 (/ 1 (cos (/ 1/2 K))) into (/ 1 (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 (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) 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 (* (cos (/ 1/2 K)) U)) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) 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 (* (cos (/ 1/2 K)) U)) (/ 0 (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 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))))) (* 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) 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 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (+ (* 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log U))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log U))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (pow U 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (cos (/ 1/2 K)) (pow U 2))) (/ 0 (* (cos (/ 1/2 K)) (pow U 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))))) 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 (+ (* -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 1))) 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 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J))
* [misc]approximate:  Taking taylor expansion of (* (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- J)) -2) 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 -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- J)) -2) 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 -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- J)) -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [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 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- J)) -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* -1 -2) 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 (+ (* -1 0) (* 0 -2)) 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 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 1/2 (* (cos (/ -1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [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 (+ (* -1 0) (+ (* 0 0) (* 0 -2))) 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 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 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)) (pow U 2))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) 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 (pow U 2) in K
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2)))
* [misc]taylor:  Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) 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)) (pow U 2)) 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 (pow U 2) in U
* [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 (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -2) (+ (* (/ 1/2 U) (/ 0 -2)))) 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 (* (cos (/ -1/2 K)) U)) (/ 0 (cos (/ -1/2 K)))))) 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -2) (+ (* (/ 1/2 U) (/ 0 -2)))) 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 (* (cos (/ -1/2 K)) U)) (/ 0 (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 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) 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 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log U))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log U))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) 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 (+ (* -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 1))) 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 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 2)
* [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 (* (pow K 2) (* (/ 1 J) U))) (* 1/2 (* 1 (* (/ 1 J) U)))) into (+ (* 1/16 (/ (* (pow K 2) 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 (/ 1 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 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* J (cos (* 1/2 K)))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in (J K) around 0
* [misc]taylor:  Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* J -2) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (* (* J -2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* J -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (* (* J -2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* J -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (* 0 -2) 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 (+ (* 0 0) (* 1 -2)) 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 (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 -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 (+ (* 0 0) (+ (* 1 0) (* 0 -2))) 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 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 0) (+ (* 1 0) (+ (* 0 0) (* 0 -2)))) 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 (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in (J K) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* (/ 1 J) -2) 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 -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* (/ 1 J) -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* (/ 1 J) -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (* 1 -2) 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 (+ (* 1 0) (* 0 -2)) 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 (+ (* 1 0) (+ (* 0 0) (* 0 -2))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) 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 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* -2 (* (cos (* 1/2 K)) J))
* [misc]approximate:  Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in (J K) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- J)) -2) 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 -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- J)) -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- J)) -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (* -1 -2) 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 (+ (* -1 0) (* 0 -2)) 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 (+ (* -1 0) (+ (* 0 0) (* 0 -2))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) 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 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* -2 (* (cos (* 1/2 K)) J))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (/ (pow U 2) (pow J 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in 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 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]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (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 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [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 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]taylor:  Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 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 (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log (cos (* 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (log (cos (* 1/2 K)))) into (* 2 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
* [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [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]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]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 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) 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 (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) 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 1) into 1
* [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]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]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 (pow 0 2) (+)) (* 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) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 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)))) (* 0 (/ 0 (* 2 (/ 1 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 (- (+ (* (/ 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 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 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)))) (* 0 (/ 0 (* 2 (/ 1 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 (- (+ (* (/ 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 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) 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 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* J (cos (* 1/2 K)))))
* [misc]approximate:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) 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 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)))) 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]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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]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 (pow 0 2) (+)) (* 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) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) 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 (- 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* 2 (/ 1 J)))) (+ (* (* 1/2 J) (/ 0 (- (* 2 (/ 1 J))))) (* 0 (/ 0 (- (* 2 (/ 1 J))))) (* 0 (/ 0 (- (* 2 (/ 1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 (- 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* 2 (/ 1 J)))) (+ (* (* 1/2 J) (/ 0 (- (* 2 (/ 1 J))))) (* 0 (/ 0 (- (* 2 (/ 1 J))))) (* 0 (/ 0 (- (* 2 (/ 1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) 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 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* J (cos (* 1/2 K)))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (log1p (expm1 (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (expm1 (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ 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 (41 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (expm1 (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (expm1 (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 2 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (expm1 (log1p (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (log1p (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ 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 (41 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (log1p (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (log1p (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 3 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) 1))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 4 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) 1))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 5 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) 1))>
* * * * [misc]progress:  [ 6 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (+ (+ (log (* J -2)) (log (cos (/ K 2)))) (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (+ (+ (log (* J -2)) (log (cos (/ K 2)))) (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (86 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (cos (/ K 2))) (log (* -2 J))) (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (+ (+ (log (cos (/ K 2))) (log (* -2 J))) (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 7 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (+ (log (* (* J -2) (cos (/ K 2)))) (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (+ (log (* (* J -2) (cos (/ K 2)))) (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (log (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (log (* (* -2 J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 8 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (log (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (log (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (log (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (log (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 9 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (log (exp (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (exp (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* * [misc]simplify:  iters left: 1 (89 enodes)
* [exit]simplify:  Simplified to (pow (pow (exp (* -2 J)) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (pow (pow (exp (* -2 J)) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 10 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (207 enodes)
* * [misc]simplify:  iters left: 1 (476 enodes)
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* (cos (/ K 2)) (pow (* -2 J) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* (cos (/ K 2)) (pow (* -2 J) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 11 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* * [misc]simplify:  iters left: 1 (407 enodes)
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (pow (* (* -2 J) (cos (/ K 2))) 3)) (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (pow (* (* -2 J) (cos (/ K 2))) 3)) (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 12 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) (cbrt (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (cbrt (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) (cbrt (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ 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 (41 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (cbrt (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (cbrt (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 13 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (* (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* * [misc]simplify:  iters left: 1 (438 enodes)
* [exit]simplify:  Simplified to (pow (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) 3)
* [exit]simplify:  Simplified to (pow (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) 3)
* * * * [misc]progress:  [ 14 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (sqrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (sqrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ 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 (41 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (sqrt (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (sqrt (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* [enter]simplify:  Simplifying (sqrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ 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 (41 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (sqrt (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (sqrt (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 15 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* 1 (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* * * * [misc]progress:  [ 16 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (99 enodes)
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 17 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ 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 (41 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 18 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) 1) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (* (* (* J -2) (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 (24 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* -2 J))
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* -2 J))
* * * * [misc]progress:  [ 19 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) (hypot 1 (/ (/ 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 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2)))
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2)))
* * * * [misc]progress:  [ 20 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))))>
* * * * [misc]progress:  [ 21 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (log1p (expm1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (expm1 (/ (/ 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 (29 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (/ U (+ J J)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (expm1 (/ (/ U (+ J J)) (cos (/ K 2))))
* * * * [misc]progress:  [ 22 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (expm1 (log1p (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (log1p (/ (/ 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 (29 enodes)
* [exit]simplify:  Simplified to (log1p (/ (/ U (+ J J)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (log1p (/ (/ U (+ J J)) (cos (/ K 2))))
* * * * [misc]progress:  [ 23 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (pow (/ (/ U (+ J J)) (cos (/ K 2))) 1))))>
* * * * [misc]progress:  [ 24 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (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:  [ 25 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (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 (41 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (65 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:  [ 26 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (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 (29 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:  [ 27 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (cbrt (/ (* (* (/ U (+ J J)) (/ U (+ J J))) (/ U (+ J J))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ U (+ J J)) (/ U (+ J J))) (/ U (+ J J))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (358 enodes)
* [exit]simplify:  Simplified to (pow (/ (/ U (+ J J)) (cos (/ K 2))) 3)
* [exit]simplify:  Simplified to (pow (/ (/ U (+ J J)) (cos (/ K 2))) 3)
* * * * [misc]progress:  [ 28 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* (* (cbrt (/ (/ U (+ J J)) (cos (/ K 2)))) (cbrt (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (/ U (+ J J)) (cos (/ K 2)))) (cbrt (/ (/ U (+ J J)) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (/ U (+ J J)) (cos (/ K 2)))) (cbrt (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (/ U (+ J J)) (cos (/ K 2)))) (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 (29 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:  [ 29 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (cbrt (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (/ (/ U (+ J J)) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (296 enodes)
* [exit]simplify:  Simplified to (pow (/ (/ U (+ J J)) (cos (/ K 2))) 3)
* [exit]simplify:  Simplified to (pow (/ (/ U (+ J J)) (cos (/ K 2))) 3)
* * * * [misc]progress:  [ 30 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* (sqrt (/ (/ U (+ J J)) (cos (/ K 2)))) (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 (29 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ U (+ J J)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (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 (29 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:  [ 31 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (- (/ 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:  [ 32 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* (/ (* (cbrt (/ U (+ J J))) (cbrt (/ U (+ J J)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (cbrt (/ U (+ J J))) (cbrt (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ U (+ J J))) (cbrt (/ U (+ J J)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ U (+ J J))) (cbrt (cos (/ K 2)))) (/ (cbrt (/ U (+ J J))) (cbrt (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (/ U (+ J J))) (cbrt (cos (/ K 2)))) (/ (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:  [ 33 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* (/ (* (cbrt (/ U (+ J J))) (cbrt (/ U (+ J J)))) (sqrt (cos (/ K 2)))) (/ (cbrt (/ U (+ J J))) (sqrt (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ U (+ J J))) (cbrt (/ U (+ J J)))) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ U (+ J J))) (/ (sqrt (cos (/ K 2))) (cbrt (/ U (+ J J)))))
* [exit]simplify:  Simplified to (/ (cbrt (/ U (+ J J))) (/ (sqrt (cos (/ K 2))) (cbrt (/ U (+ J J)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ 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 (/ (cbrt (/ U (+ J J))) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ U (+ J J))) (sqrt (cos (/ K 2))))
* * * * [misc]progress:  [ 34 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* (/ (* (cbrt (/ U (+ J J))) (cbrt (/ U (+ J J)))) 1) (/ (cbrt (/ U (+ J J))) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ U (+ J J))) (cbrt (/ U (+ J J)))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ U (+ J J))) 1) (cbrt (/ U (+ J J))))
* [exit]simplify:  Simplified to (* (/ (cbrt (/ U (+ J J))) 1) (cbrt (/ U (+ J J))))
* [enter]simplify:  Simplifying (/ (cbrt (/ U (+ J J))) (cos (/ K 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 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:  [ 35 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* (/ (sqrt (/ U (+ J J))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (sqrt (/ U (+ J J))) (cbrt (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ U (+ J J))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ U (+ J J))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ U (+ J J))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [enter]simplify:  Simplifying (/ (sqrt (/ 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 (/ (sqrt (/ U (+ J J))) (cbrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ U (+ J J))) (cbrt (cos (/ K 2))))
* * * * [misc]progress:  [ 36 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* (/ (sqrt (/ U (+ J J))) (sqrt (cos (/ K 2)))) (/ (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))))
* [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:  [ 37 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* (/ (sqrt (/ U (+ J J))) 1) (/ (sqrt (/ U (+ J J))) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ U (+ J J))) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ U (+ J J))) 1)
* [exit]simplify:  Simplified to (/ (sqrt (/ U (+ J J))) 1)
* [enter]simplify:  Simplifying (/ (sqrt (/ U (+ J J))) (cos (/ K 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 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:  [ 38 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* (/ 1 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (/ U (+ J J)) (cbrt (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))
* [enter]simplify:  Simplifying (/ (/ U (+ J J)) (cbrt (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 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ U (+ J J)) (cbrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ U (+ J J)) (cbrt (cos (/ K 2))))
* * * * [misc]progress:  [ 39 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* (/ 1 (sqrt (cos (/ K 2)))) (/ (/ U (+ J J)) (sqrt (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (cos (/ K 2))))
* [enter]simplify:  Simplifying (/ (/ U (+ J J)) (sqrt (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 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ U (+ J J)) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ U (+ J J)) (sqrt (cos (/ K 2))))
* * * * [misc]progress:  [ 40 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* (/ 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 (28 enodes)
* [exit]simplify:  Simplified to (/ (/ U (+ J J)) (cos (/ K 2)))
* [exit]simplify:  Simplified to (/ (/ U (+ J J)) (cos (/ K 2)))
* * * * [misc]progress:  [ 41 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* (/ U (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (/ 1 (+ J J)) (cbrt (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ U (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ U (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [exit]simplify:  Simplified to (/ U (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [enter]simplify:  Simplifying (/ (/ 1 (+ J J)) (cbrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ J J)) (cbrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (+ J J)) (cbrt (cos (/ K 2))))
* * * * [misc]progress:  [ 42 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* (/ U (sqrt (cos (/ K 2)))) (/ (/ 1 (+ J J)) (sqrt (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ U (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* [exit]simplify:  Simplified to (/ U (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ U (sqrt (cos (/ K 2))))
* [enter]simplify:  Simplifying (/ (/ 1 (+ J J)) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ J J)) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (+ J J)) (sqrt (cos (/ K 2))))
* * * * [misc]progress:  [ 43 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* (/ 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 (30 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ J J)) (cos (/ K 2)))
* [exit]simplify:  Simplified to (/ (/ 1 (+ J J)) (cos (/ K 2)))
* * * * [misc]progress:  [ 44 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* (/ (/ U (+ (pow J 3) (pow J 3))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (+ (* J J) (- (* J J) (* J J))) (cbrt (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (/ U (+ (pow J 3) (pow J 3))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (/ U (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* (* J J) (+ J J))))
* [exit]simplify:  Simplified to (/ (/ U (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* (* J J) (+ J J))))
* [enter]simplify:  Simplifying (/ (+ (* J J) (- (* J J) (* J J))) (cbrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 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 (32 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (/ (* J J) (cbrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (* J J) (cbrt (cos (/ K 2))))
* * * * [misc]progress:  [ 45 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* (/ (/ U (+ (pow J 3) (pow J 3))) (sqrt (cos (/ K 2)))) (/ (+ (* J J) (- (* J J) (* J J))) (sqrt (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (/ U (+ (pow J 3) (pow J 3))) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ U 2) (pow J 3)) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ (/ U 2) (pow J 3)) (sqrt (cos (/ K 2))))
* [enter]simplify:  Simplifying (/ (+ (* J J) (- (* J J) (* J J))) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 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 (32 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (/ (* J J) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (* J J) (sqrt (cos (/ K 2))))
* * * * [misc]progress:  [ 46 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* (/ (/ U (+ (pow J 3) (pow J 3))) 1) (/ (+ (* J J) (- (* J 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 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (/ (/ U 2) (pow J 3))
* [exit]simplify:  Simplified to (/ (/ U 2) (pow J 3))
* [enter]simplify:  Simplifying (/ (+ (* J J) (- (* J J) (* J J))) (cos (/ K 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (/ (* J J) (cos (/ K 2)))
* [exit]simplify:  Simplified to (/ (* J J) (cos (/ K 2)))
* * * * [misc]progress:  [ 47 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* (/ (/ U (- (* J J) (* J J))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (- J J) (cbrt (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (/ U (- (* J J) (* J J))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ U 0)
* [exit]simplify:  Simplified to (/ U 0)
* [enter]simplify:  Simplifying (/ (- J J) (cbrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to 0
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 48 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* (/ (/ U (- (* J J) (* J J))) (sqrt (cos (/ K 2)))) (/ (- J J) (sqrt (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (/ U (- (* J J) (* J J))) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ U 0)
* [exit]simplify:  Simplified to (/ U 0)
* [enter]simplify:  Simplifying (/ (- J J) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to 0
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 49 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* (/ (/ U (- (* J J) (* J J))) 1) (/ (- J J) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (/ (/ U (- (* J J) (* J J))) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 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:  [ 50 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* * * * [misc]progress:  [ 51 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* (/ 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:  [ 52 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ 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 (42 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (/ U (+ J J)))
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (/ U (+ J J)))
* * * * [misc]progress:  [ 53 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U (+ J J)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (/ (/ U (+ J J)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (/ (/ U (+ J J)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [exit]simplify:  Simplified to (/ (/ U (+ J J)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * * * [misc]progress:  [ 54 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U (+ J J)) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (/ (/ U (+ J J)) (sqrt (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 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ U (+ J J)) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ U (+ J J)) (sqrt (cos (/ K 2))))
* * * * [misc]progress:  [ 55 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ 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 (19 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (/ U (+ J J))
* [exit]simplify:  Simplified to (/ U (+ J J))
* * * * [misc]progress:  [ 56 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (* (cbrt (/ U (+ J J))) (cbrt (/ U (+ J J)))) (/ (cos (/ K 2)) (cbrt (/ U (+ J J))))))))>
* [enter]simplify:  Simplifying (/ (cos (/ K 2)) (cbrt (/ U (+ J J))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (cbrt (/ U (+ J J))))
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (cbrt (/ U (+ J J))))
* * * * [misc]progress:  [ 57 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (sqrt (/ U (+ J J))) (/ (cos (/ K 2)) (sqrt (/ U (+ J J))))))))>
* [enter]simplify:  Simplifying (/ (cos (/ K 2)) (sqrt (/ U (+ J J))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (sqrt (/ U (+ J J))))
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (sqrt (/ U (+ J J))))
* * * * [misc]progress:  [ 58 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ 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 (42 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (/ U (+ J J)))
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (/ U (+ J J)))
* * * * [misc]progress:  [ 59 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ 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 (44 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (/ 1 (+ J J)))
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (/ 1 (+ J J)))
* * * * [misc]progress:  [ 60 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ (pow J 3) (pow J 3))) (/ (cos (/ K 2)) (+ (* J J) (- (* J J) (* J J))))))))>
* [enter]simplify:  Simplifying (/ (cos (/ K 2)) (+ (* J J) (- (* J J) (* J J))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (* J J))
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (* J J))
* * * * [misc]progress:  [ 61 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (- (* J J) (* J 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:  [ 62 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ 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 (20 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (+ J J))
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (+ J J))
* * * * [misc]progress:  [ 63 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (log1p (expm1 (* (* J -2) (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (expm1 (* (* J -2) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (expm1 (* (* -2 J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (expm1 (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 64 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (expm1 (log1p (* (* J -2) (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (log1p (* (* J -2) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (log1p (* (* -2 J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (log1p (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 65 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (pow (* (* J -2) (cos (/ K 2))) 1) (hypot 1 (/ (/ 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)))
* * * * [misc]progress:  [ 66 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (pow (* (* J -2) (cos (/ K 2))) 1) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))>
* * * * [misc]progress:  [ 67 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (exp (+ (log (* J -2)) (log (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (+ (log (* J -2)) (log (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (+ (log (cos (/ K 2))) (log (* -2 J)))
* [exit]simplify:  Simplified to (+ (log (cos (/ K 2))) (log (* -2 J)))
* * * * [misc]progress:  [ 68 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (exp (log (* (* J -2) (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (log (* (* J -2) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (log (* (* -2 J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (log (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 69 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (log (exp (* (* J -2) (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (exp (* (* J -2) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* [exit]simplify:  Simplified to (pow (exp (* -2 J)) (cos (/ K 2)))
* [exit]simplify:  Simplified to (pow (exp (* -2 J)) (cos (/ K 2)))
* * * * [misc]progress:  [ 70 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cbrt (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* * [misc]simplify:  iters left: 1 (216 enodes)
* [exit]simplify:  Simplified to (* (* (cos (/ K 2)) (pow (* -2 J) 3)) (* (cos (/ K 2)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (* (cos (/ K 2)) (pow (* -2 J) 3)) (* (cos (/ K 2)) (cos (/ K 2))))
* * * * [misc]progress:  [ 71 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cbrt (* (* J -2) (cos (/ K 2)))) (cbrt (* (* J -2) (cos (/ K 2))))) (cbrt (* (* J -2) (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (* J -2) (cos (/ K 2)))) (cbrt (* (* J -2) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2)))))
* [enter]simplify:  Simplifying (cbrt (* (* J -2) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* -2 J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (cbrt (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 72 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cbrt (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (218 enodes)
* [exit]simplify:  Simplified to (pow (* (* -2 J) (cos (/ K 2))) 3)
* [exit]simplify:  Simplified to (pow (* (* -2 J) (cos (/ K 2))) 3)
* * * * [misc]progress:  [ 73 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (sqrt (* (* J -2) (cos (/ K 2)))) (sqrt (* (* J -2) (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (sqrt (* (* J -2) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* -2 J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (sqrt (* (* -2 J) (cos (/ K 2))))
* [enter]simplify:  Simplifying (sqrt (* (* J -2) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* -2 J) (cos (/ K 2))))
* [exit]simplify:  Simplified to (sqrt (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 74 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* 1 (* (* J -2) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))>
* * * * [misc]progress:  [ 75 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [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 (31 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (37 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* -2 J))
* [exit]simplify:  Simplified to (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* -2 J))
* * * * [misc]progress:  [ 76 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (* (* J -2) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cos (/ K 2))) (* -2 J))
* [exit]simplify:  Simplified to (* (sqrt (cos (/ K 2))) (* -2 J))
* * * * [misc]progress:  [ 77 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) 1) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (* (* J -2) 1)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (* J -2)
* [exit]simplify:  Simplified to (* J -2)
* * * * [misc]progress:  [ 78 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J (* -2 (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (* -2 (cos (/ K 2)))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (7 enodes)
* [exit]simplify:  Simplified to (* -2 (cos (/ K 2)))
* [exit]simplify:  Simplified to (* -2 (cos (/ K 2)))
* * * * [misc]progress:  [ 79 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))>
* * * * [misc]progress:  [ 80 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (log1p (expm1 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (expm1 (hypot 1 (/ (/ 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 (33 enodes)
* [exit]simplify:  Simplified to (expm1 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (expm1 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 81 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (expm1 (log1p (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (log1p (hypot 1 (/ (/ 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 (33 enodes)
* [exit]simplify:  Simplified to (log1p (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (log1p (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 82 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (155 enodes)
* * [misc]simplify:  iters left: 1 (326 enodes)
* [exit]simplify:  Simplified to (fma (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))) 1)
* [exit]simplify:  Simplified to (fma (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))) 1)
* * * * [misc]progress:  [ 83 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1)))>
* * * * [misc]progress:  [ 84 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (exp (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (log (hypot 1 (/ (/ 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 (33 enodes)
* [exit]simplify:  Simplified to (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 85 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (log (exp (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (exp (hypot 1 (/ (/ 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 (33 enodes)
* [exit]simplify:  Simplified to (exp (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (exp (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 86 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (cbrt (hypot 1 (/ (/ 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 (33 enodes)
* [exit]simplify:  Simplified to (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 87 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (cbrt (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 3)
* [exit]simplify:  Simplified to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 3)
* * * * [misc]progress:  [ 88 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (sqrt (hypot 1 (/ (/ 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 (33 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [enter]simplify:  Simplifying (sqrt (hypot 1 (/ (/ 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 (33 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 89 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* 1 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* * * * [misc]progress:  [ 90 / 101 ] 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:  [ 91 / 101 ] 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 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (* (* J -2) (cos (* K 1/2)))
* * * * [misc]progress:  [ 92 / 101 ] 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 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (* (* J -2) (cos (* K 1/2)))
* * * * [misc]progress:  [ 93 / 101 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))))))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (hypot 1 (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (fma (/ (* K K) (/ J 1/16)) U (* U (/ 1/2 J)))))
* * * * [misc]progress:  [ 94 / 101 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* 1/2 (/ U (* J (cos (* 1/2 K))))))))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (* U 1/2) J) (cos (* 1/2 K)))))
* * * * [misc]progress:  [ 95 / 101 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* 1/2 (/ U (* J (cos (* 1/2 K))))))))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (* U 1/2) J) (cos (* 1/2 K)))))
* * * * [misc]progress:  [ 96 / 101 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 J) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (* (* -2 J) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (* (* J -2) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 97 / 101 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 (* (cos (* 1/2 K)) J)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (* (* -2 (* (cos (* 1/2 K)) J)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (92 enodes)
* [exit]simplify:  Simplified to (* (* (cos (* K 1/2)) (* J -2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 98 / 101 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 (* (cos (* 1/2 K)) J)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))>
* [enter]simplify:  Simplifying (* (* -2 (* (cos (* 1/2 K)) J)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (92 enodes)
* [exit]simplify:  Simplified to (* (* (cos (* K 1/2)) (* J -2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 99 / 101 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* J -2) (cos (/ K 2))) 1))>
* [enter]simplify:  Simplifying (* (* (* J -2) (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 (24 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* -2 J))
* * * * [misc]progress:  [ 100 / 101 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* 1/2 (/ U (* J (cos (* 1/2 K)))))))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (* 1/2 (/ U (* J (cos (* 1/2 K))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (268 enodes)
* * [misc]simplify:  iters left: 1 (484 enodes)
* [exit]simplify:  Simplified to (* (/ (* 1/2 U) (cos (* 1/2 K))) (/ (cos (/ K 2)) (/ 1 -2)))
* * * * [misc]progress:  [ 101 / 101 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* 1/2 (/ U (* J (cos (* 1/2 K)))))))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (* 1/2 (/ U (* J (cos (* 1/2 K))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (268 enodes)
* * [misc]simplify:  iters left: 1 (484 enodes)
* [exit]simplify:  Simplified to (* (/ (* 1/2 U) (cos (* 1/2 K))) (/ (cos (/ K 2)) (/ 1 -2)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 2 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* J -2) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (hypot 1 (/ (/ 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 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* J -2) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (hypot 1 (/ (/ 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 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (/ (pow U 2) (pow J 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* J -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (hypot 1 (/ (/ 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 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in 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 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]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (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 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* J -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (hypot 1 (/ (/ 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 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in 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 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]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (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 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (* 0 -2) 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 (+ (* 0 0) (* 1 -2)) 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 (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)) (* 0 (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)) (* 0 (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (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 (pow 0 2) (+)) (* 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 (/ (pow (cos (* 1/2 K)) 2) U)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 -2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (/ (pow (cos (* 1/2 K)) 2) 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 (* (* (/ 1 J) -2) (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 J) -2) (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* (/ 1 J) -2) 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 -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ 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 (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 J) -2) (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (/ 1 J) -2) 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 -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ 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 (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 J) -2) (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* (/ 1 J) -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ 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 (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [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 J) -2) (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* (/ 1 J) -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ 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 (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* 1 -2) 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 (+ (* 1 0) (* 0 -2)) 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 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 1/2 (* (cos (/ 1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [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 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -2))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))) 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)) (pow U 2))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1/2 K)) (pow U 2)) 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 (pow U 2) in K
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (pow U 2)) into (* (cos (/ 1/2 K)) (pow U 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (cos (/ 1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ 1/2 K)) (pow U 2)))
* [misc]backup-simplify:  Simplify (- (/ 1/4 (* (cos (/ 1/2 K)) (pow U 2)))) into (- (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))) 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)) (pow U 2))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1/2 K)) (pow U 2)) 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 (pow U 2) in U
* [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 (/ 1 (cos (/ 1/2 K))) into (/ 1 (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 (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) 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 (* (cos (/ 1/2 K)) U)) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) 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 (* (cos (/ 1/2 K)) U)) (/ 0 (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 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))))) (* 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 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (+ (* 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))))) (+ (* 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log U))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log U))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (pow U 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (cos (/ 1/2 K)) (pow U 2))) (/ 0 (* (cos (/ 1/2 K)) (pow U 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))))) 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 (+ (* -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 1))) 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 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J))
* [misc]approximate:  Taking taylor expansion of (* (* (/ 1 (- J)) -2) (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- J)) -2) (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- J)) -2) 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 -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ 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 (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- J)) -2) (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- J)) -2) 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 -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ 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 (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- J)) -2) (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- J)) -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ 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 (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [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 (- J)) -2) (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- J)) -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ 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 (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* -1 -2) 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 (+ (* -1 0) (* 0 -2)) 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 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 1/2 (* (cos (/ -1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [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 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 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)) (pow U 2))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) 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 (pow U 2) in K
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2)))
* [misc]taylor:  Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) 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)) (pow U 2)) 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 (pow U 2) in U
* [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 (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -2) (+ (* (/ 1/2 U) (/ 0 -2)))) 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 (* (cos (/ -1/2 K)) U)) (/ 0 (cos (/ -1/2 K)))))) 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -2) (+ (* (/ 1/2 U) (/ 0 -2)))) 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 (* (cos (/ -1/2 K)) U)) (/ 0 (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 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 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 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log U))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log U))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) 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 (+ (* -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 1))) 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 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 2 2)
* [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 (* (pow K 2) (* (/ 1 J) U))) (* 1/2 (* 1 (* (/ 1 J) U)))) into (+ (* 1/16 (/ (* (pow K 2) 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 (/ 1 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 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* J (cos (* 1/2 K)))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in (K U J) around 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (hypot 1 (/ (/ 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 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in 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 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]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (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 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (hypot 1 (/ (/ 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 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (hypot 1 (/ (/ 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 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (/ (pow U 2) (pow J 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ K 2)) (hypot 1 (/ (/ 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 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (/ (pow U 2) (pow J 2))))))) into 0
* [misc]backup-simplify:  Simplify (* 1 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (* 1/4 (/ (pow U 2) (pow J 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 (* 1/4 (/ (pow U 2) (pow J 2))) 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 (/ (pow U 2) (pow J 2)) in U
* [misc]taylor:  Taking taylor expansion of (pow U 2) in U
* [misc]taylor:  Taking taylor expansion of (pow J 2) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log J))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (log 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 (log J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]backup-simplify:  Simplify (* 2 (log J)) into (* 2 (log J))
* [misc]backup-simplify:  Simplify (exp (* 2 (log J))) into (pow J 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2))
* [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]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) 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 J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))) (* 0 (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into (* 1/16 (/ U J))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))) (* 0 (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into (* 1/16 (/ U J))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) (* 1/16 (/ U J))) (+ (* 0 0) (* (* 1/16 (/ U J)) (* 1/2 (/ U J))))) into (* 1/16 (/ (pow U 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/16 (/ (pow U 2) (pow J 2)))) into (* 1/16 (/ (pow U 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/16 (/ (pow U 2) (pow J 2))) (pow 0 2) (+)) (* 2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (+ (* 0 0) (* (- 1/8) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) into (- (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) in U
* [misc]taylor:  Taking taylor expansion of 1/32 in U
* [misc]backup-simplify:  Simplify 1/32 into 1/32
* [misc]taylor:  Taking taylor expansion of (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in U
* [misc]taylor:  Taking taylor expansion of (pow U 2) in U
* [misc]taylor:  Taking taylor expansion of (pow J 2) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log J))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (log 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 (log J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]backup-simplify:  Simplify (* 2 (log J)) into (* 2 (log J))
* [misc]backup-simplify:  Simplify (exp (* 2 (log J))) into (pow J 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (* 1/4 (/ (pow U 2) (pow J 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 (* 1/4 (/ (pow U 2) (pow J 2))) 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 (/ (pow U 2) (pow J 2)) in U
* [misc]taylor:  Taking taylor expansion of (pow U 2) in U
* [misc]taylor:  Taking taylor expansion of (pow J 2) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log J))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (log 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 (log J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]backup-simplify:  Simplify (* 2 (log J)) into (* 2 (log J))
* [misc]backup-simplify:  Simplify (exp (* 2 (log J))) into (pow J 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* 1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/8 in U
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (* 1/4 (/ (pow U 2) (pow J 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 (* 1/4 (/ (pow U 2) (pow J 2))) 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 (/ (pow U 2) (pow J 2)) in U
* [misc]taylor:  Taking taylor expansion of (pow U 2) in U
* [misc]taylor:  Taking taylor expansion of (pow J 2) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log J))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (log 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 (log J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]backup-simplify:  Simplify (* 2 (log J)) into (* 2 (log J))
* [misc]backup-simplify:  Simplify (exp (* 2 (log J))) into (pow J 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2))
* [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 (* 1/8 1) into 1/8
* [misc]backup-simplify:  Simplify (- 1/8) into -1/8
* [misc]backup-simplify:  Simplify (+ 0 -1/8) into -1/8
* [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 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (pow J 2))) into (/ 1/4 (pow J 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (pow J 2))) into (* 1/4 (/ 1 (pow J 2)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (pow J 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (pow J 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/8 (pow J 2)) 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 (pow J 2) in J
* [misc]backup-simplify:  Simplify (/ 1/8 1) into 1/8
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))) (* 0 (/ 0 (* 2 J))) (* 0 (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* (* 1/16 (/ U J)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))) (* 0 (/ 0 (* 2 J))) (* 0 (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* (* 1/16 (/ U J)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) 0) (+ (* 0 (* 1/16 (/ U J))) (+ (* (* 1/16 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* 2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (+ (* (- 1/8) 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) 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 J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log J))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1 (pow J 2)) (/ 0 (pow J 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow J 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (pow J 2)))))) (* 2 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1/8 into -1/8
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))) (* 0 (/ 0 (* 2 J))) (* 0 (/ 0 (* 2 J))) (* 0 (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 1/384 1)) (* 0 (/ 0 1)) (* (* 1/16 (/ U J)) (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into (* 5/768 (/ U J))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))) (* 0 (/ 0 (* 2 J))) (* 0 (/ 0 (* 2 J))) (* 0 (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 1/384 1)) (* 0 (/ 0 1)) (* (* 1/16 (/ U J)) (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into (* 5/768 (/ U J))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ U J)) (* 5/768 (/ U J))) (+ (* 0 0) (+ (* (* 1/16 (/ U J)) (* 1/16 (/ U J))) (+ (* 0 0) (* (* 5/768 (/ U J)) (* 1/2 (/ U J))))))) into (* 1/96 (/ (pow U 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/96 (/ (pow U 2) (pow J 2)))) into (* 1/96 (/ (pow U 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/96 (/ (pow U 2) (pow J 2))) (pow (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* 1/96 (/ (pow U 2) (pow J 2))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* 1/96 (/ (pow U 2) (pow J 2))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) (+ (* 0 0) (+ (* (- 1/8) (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (+ (* 0 0) (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) into (- (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/192 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (/ (pow U 2) (pow J 2))))) (+ (* 1/2048 (* (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))) (/ (pow U 4) (pow J 4)))) (* 1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/192 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (/ (pow U 2) (pow J 2))))) (+ (* 1/2048 (* (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))) (/ (pow U 4) (pow J 4)))) (* 1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) in U
* [misc]taylor:  Taking taylor expansion of (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/192 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (/ (pow U 2) (pow J 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/384 in U
* [misc]backup-simplify:  Simplify 1/384 into 1/384
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (* 1/4 (/ (pow U 2) (pow J 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 (* 1/4 (/ (pow U 2) (pow J 2))) 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 (/ (pow U 2) (pow J 2)) in U
* [misc]taylor:  Taking taylor expansion of (pow U 2) in U
* [misc]taylor:  Taking taylor expansion of (pow J 2) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log J))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (log 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 (log J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]backup-simplify:  Simplify (* 2 (log J)) into (* 2 (log J))
* [misc]backup-simplify:  Simplify (exp (* 2 (log J))) into (pow J 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2))
* [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 (* 1/192 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (/ (pow U 2) (pow J 2)))) in U
* [misc]taylor:  Taking taylor expansion of 1/192 in U
* [misc]backup-simplify:  Simplify 1/192 into 1/192
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (/ (pow U 2) (pow J 2))) in U
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (* 1/4 (/ (pow U 2) (pow J 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 (* 1/4 (/ (pow U 2) (pow J 2))) 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 (/ (pow U 2) (pow J 2)) in U
* [misc]taylor:  Taking taylor expansion of (pow U 2) in U
* [misc]taylor:  Taking taylor expansion of (pow J 2) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log J))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (log 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 (log J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]backup-simplify:  Simplify (* 2 (log J)) into (* 2 (log J))
* [misc]backup-simplify:  Simplify (exp (* 2 (log J))) into (pow J 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in U
* [misc]taylor:  Taking taylor expansion of (pow U 2) in U
* [misc]taylor:  Taking taylor expansion of (pow J 2) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log J))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (log 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 (log J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]backup-simplify:  Simplify (* 2 (log J)) into (* 2 (log J))
* [misc]backup-simplify:  Simplify (exp (* 2 (log J))) into (pow J 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2048 (* (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))) (/ (pow U 4) (pow J 4)))) (* 1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/2048 (* (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))) (/ (pow U 4) (pow J 4)))) in U
* [misc]taylor:  Taking taylor expansion of 1/2048 in U
* [misc]backup-simplify:  Simplify 1/2048 into 1/2048
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))) (/ (pow U 4) (pow J 4))) in U
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)) in U
* [misc]taylor:  Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 3 in U
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (* 1/4 (/ (pow U 2) (pow J 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 (* 1/4 (/ (pow U 2) (pow J 2))) 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 (/ (pow U 2) (pow J 2)) in U
* [misc]taylor:  Taking taylor expansion of (pow U 2) in U
* [misc]taylor:  Taking taylor expansion of (pow J 2) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log J))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (log 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 (log J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]backup-simplify:  Simplify (* 2 (log J)) into (* 2 (log J))
* [misc]backup-simplify:  Simplify (exp (* 2 (log J))) into (pow J 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (pow J 2))) into (/ 1/4 (pow J 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (pow J 2))) into (* 1/4 (/ 1 (pow J 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (pow J 2)))) 1)) (pow 1 1)))) 2) into (/ 1/4 (pow J 2))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 1/4 (pow J 2))) (+ (* 0 0) (* 0 0))) into (* 3/4 (/ 1 (pow J 2)))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (/ (pow U 4) (pow J 4)) in U
* [misc]taylor:  Taking taylor expansion of (pow U 4) in U
* [misc]taylor:  Taking taylor expansion of (pow J 4) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log J))) in U
* [misc]taylor:  Taking taylor expansion of (* 4 (log J)) in U
* [misc]taylor:  Taking taylor expansion of 4 in U
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]backup-simplify:  Simplify (* 4 (log J)) into (* 4 (log J))
* [misc]backup-simplify:  Simplify (exp (* 4 (log J))) into (pow J 4)
* [misc]backup-simplify:  Simplify (/ 1 (pow J 4)) into (/ 1 (pow J 4))
* [misc]taylor:  Taking taylor expansion of (* 1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) in U
* [misc]taylor:  Taking taylor expansion of 1/256 in U
* [misc]backup-simplify:  Simplify 1/256 into 1/256
* [misc]taylor:  Taking taylor expansion of (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (/ (pow U 2) (pow J 2)) in U
* [misc]taylor:  Taking taylor expansion of (pow U 2) in U
* [misc]taylor:  Taking taylor expansion of (pow J 2) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log J))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (log 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 (log J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]backup-simplify:  Simplify (* 2 (log J)) into (* 2 (log J))
* [misc]backup-simplify:  Simplify (exp (* 2 (log J))) into (pow J 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) in U
* [misc]taylor:  Taking taylor expansion of (+ 1 (* 1/4 (/ (pow U 2) (pow J 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 (* 1/4 (/ (pow U 2) (pow J 2))) 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 (/ (pow U 2) (pow J 2)) in U
* [misc]taylor:  Taking taylor expansion of (pow U 2) in U
* [misc]taylor:  Taking taylor expansion of (pow J 2) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log J))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (log 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 (log J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]backup-simplify:  Simplify (* 2 (log J)) into (* 2 (log J))
* [misc]backup-simplify:  Simplify (exp (* 2 (log J))) into (pow J 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* 1/384 1) into 1/384
* [misc]backup-simplify:  Simplify (+ 1/384 0) into 1/384
* [misc]backup-simplify:  Simplify (+ 1/384 0) into 1/384
* [misc]taylor:  Taking taylor expansion of 1/384 in J
* [misc]backup-simplify:  Simplify 1/384 into 1/384
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (pow J 2)) 1) into (/ 1 (pow J 2))
* [misc]backup-simplify:  Simplify (* 1/32 (/ 1 (pow J 2))) into (/ 1/32 (pow J 2))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (pow J 2))) into (/ 1/4 (pow J 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (pow J 2))) into (* 1/4 (/ 1 (pow J 2)))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (pow J 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (pow J 2))
* [misc]backup-simplify:  Simplify (+ (* 1/8 (/ 1/8 (pow J 2))) (+ (* 0 0) (* 0 1))) into (* 1/64 (/ 1 (pow J 2)))
* [misc]backup-simplify:  Simplify (- (* 1/64 (/ 1 (pow J 2)))) into (- (* 1/64 (/ 1 (pow J 2))))
* [misc]backup-simplify:  Simplify (+ (/ 1/32 (pow J 2)) (- (* 1/64 (/ 1 (pow J 2))))) into (* 1/64 (/ 1 (pow J 2)))
* [misc]taylor:  Taking taylor expansion of (* 1/64 (/ 1 (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/64 in J
* [misc]backup-simplify:  Simplify 1/64 into 1/64
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/64 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1/8 (pow (* 1 (* 1 K)) 2)) 1) into (- 1 (* 1/8 (pow K 2)))
* [misc]approximate:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in (K U J) around 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ 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 (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ 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 (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ 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 (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ 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 (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* (cos (/ 1/2 K)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1/2 K)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 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 (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 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 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (pow J 2) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log J))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (log 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 (log J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]backup-simplify:  Simplify (* 2 (log J)) into (* 2 (log J))
* [misc]backup-simplify:  Simplify (exp (* 2 (log J))) into (pow J 2)
* [misc]taylor:  Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
* [misc]taylor:  Taking taylor expansion of (pow U 2) in U
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (/ 1/2 K))))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (log (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 (log (cos (/ 1/2 K))) 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]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 (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (log (cos (/ 1/2 K)))) into (* 2 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log J))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log J))) (+ (* (/ (pow 0 1) 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 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) 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 (/ J (cos (/ 1/2 K))))) into (* 1/2 J)
* [misc]taylor:  Taking taylor expansion of (* 1/2 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 J in J
* [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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 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 (+ (* (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 (* 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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))) (* 0 (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))) (* 0 (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) 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 J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
* [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)) (/ (cos (/ 1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into (/ (pow (cos (/ 1/2 K)) 2) J)
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) J) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (/ 1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log (cos (/ 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (log (cos (/ 1/2 K)))) into (* 2 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 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]backup-simplify:  Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2)
* [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) 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 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)) (* 0 (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 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 U)) (/ 0 (* 2 (/ 1 J)))) (* 0 (/ 0 (* 2 (/ 1 J)))) (* 0 (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)) (* 0 (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 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 U)) (/ 0 (* 2 (/ 1 J)))) (* 0 (/ 0 (* 2 (/ 1 J)))) (* 0 (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))))) 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 J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (* (/ 1 J) (* (/ 1 (/ 1 U)) 1))) into (* 1/2 (/ U J))
* [misc]approximate:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in (K U J) around 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ 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 (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ 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 (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ 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 (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ 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 (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (* (cos (/ -1/2 K)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1/2 K)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) in U
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) in U
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 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 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
* [misc]taylor:  Taking taylor expansion of (pow J 2) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log J))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (log 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 (log J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]backup-simplify:  Simplify (* 2 (log J)) into (* 2 (log J))
* [misc]backup-simplify:  Simplify (exp (* 2 (log J))) into (pow J 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (/ -1/2 K))))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (log (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 (log (cos (/ -1/2 K))) 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]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 (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (log (cos (/ -1/2 K)))) into (* 2 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 2)
* [misc]taylor:  Taking taylor expansion of (pow U 2) in U
* [misc]backup-simplify:  Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log J))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log J))) (+ (* (/ (pow 0 1) 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 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) 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 (/ J (cos (/ -1/2 K))))) into (* 1/2 J)
* [misc]taylor:  Taking taylor expansion of (* 1/2 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 J in J
* [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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 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 (+ (* (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 (* 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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))))) 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 U)) (/ 0 (- (* 2 (/ 1 J))))) (* 0 (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (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 (- U) into (- U)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))))) 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 U)) (/ 0 (- (* 2 (/ 1 J))))) (* 0 (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (* U (cos (/ -1/2 K)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) 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 J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
* [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)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J)
* [misc]taylor:  Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) J) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (/ -1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log (cos (/ -1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (log (cos (/ -1/2 K)))) into (* 2 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 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]backup-simplify:  Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
* [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) 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 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))) (* 0 (/ 0 (- U))))) 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 (- 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* 2 (/ 1 J)))) (+ (* (* 1/2 (/ J U)) (/ 0 (- (* 2 (/ 1 J))))) (* 0 (/ 0 (- (* 2 (/ 1 J))))) (* 0 (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))) (* 0 (/ 0 (- U))))) 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 (- 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* 2 (/ 1 J)))) (+ (* (* 1/2 (/ J U)) (/ 0 (- (* 2 (/ 1 J))))) (* 0 (/ 0 (- (* 2 (/ 1 J))))) (* 0 (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (* U (cos (/ -1/2 K))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))))) 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 J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (* (/ 1 (- J)) (* (/ 1 (/ 1 (- U))) 1))) into (* 1/2 (/ U J))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (/ (pow U 2) (pow J 2))))))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in 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 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]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (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 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [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 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]taylor:  Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 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 (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log (cos (* 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (log (cos (* 1/2 K)))) into (* 2 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
* [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [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]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]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 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) 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 (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) 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 1) into 1
* [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]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]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 (pow 0 2) (+)) (* 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) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 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)))) (* 0 (/ 0 (* 2 (/ 1 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 (- (+ (* (/ 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 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 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)))) (* 0 (/ 0 (* 2 (/ 1 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 (- (+ (* (/ 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 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) 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 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* J (cos (* 1/2 K)))))
* [misc]approximate:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) 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 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)))) 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]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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]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 (pow 0 2) (+)) (* 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) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) 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 (- 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* 2 (/ 1 J)))) (+ (* (* 1/2 J) (/ 0 (- (* 2 (/ 1 J))))) (* 0 (/ 0 (- (* 2 (/ 1 J))))) (* 0 (/ 0 (- (* 2 (/ 1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 (- 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* 2 (/ 1 J)))) (+ (* (* 1/2 J) (/ 0 (- (* 2 (/ 1 J))))) (* 0 (/ 0 (- (* 2 (/ 1 J))))) (* 0 (/ 0 (- (* 2 (/ 1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) 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 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* J (cos (* 1/2 K)))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (log1p (expm1 (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (expm1 (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 2 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (expm1 (log1p (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (log1p (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 3 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) 1))>
* [enter]simplify:  Simplifying (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ 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 (40 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 4 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) 1))>
* [enter]simplify:  Simplifying (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ 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 (40 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 5 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) 1))>
* * * * [misc]progress:  [ 6 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (+ (log (* J -2)) (+ (log (cos (/ K 2))) (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (+ (log (* J -2)) (+ (log (cos (/ K 2))) (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (94 enodes)
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (+ (log (cos (/ K 2))) (log (* -2 J))))
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (+ (log (cos (/ K 2))) (log (* -2 J))))
* * * * [misc]progress:  [ 7 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (+ (log (* J -2)) (log (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (+ (log (* J -2)) (log (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [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 (63 enodes)
* * [misc]simplify:  iters left: 2 (85 enodes)
* * [misc]simplify:  iters left: 1 (95 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 8 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (log (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (log (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (log (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (log (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 9 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (log (exp (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (exp (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ 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 (47 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (exp (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (exp (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 10 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (353 enodes)
* [exit]simplify:  Simplified to (* (* (* (cos (/ K 2)) (pow (* -2 J) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 3))
* [exit]simplify:  Simplified to (* (* (* (cos (/ K 2)) (pow (* -2 J) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 3))
* * * * [misc]progress:  [ 11 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (cos (/ K 2)) (hypot 1 (/ (/ 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 (69 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (373 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (cos (/ K 2)) (pow (* -2 J) 3))) (* (* (cos (/ K 2)) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (cos (/ K 2)) (pow (* -2 J) 3))) (* (* (cos (/ K 2)) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 12 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))) (cbrt (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (85 enodes)
* * [misc]simplify:  iters left: 1 (89 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (cbrt (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 13 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (* (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (270 enodes)
* [exit]simplify:  Simplified to (pow (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) 3)
* [exit]simplify:  Simplified to (pow (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) 3)
* * * * [misc]progress:  [ 14 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (sqrt (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (sqrt (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (sqrt (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (sqrt (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 15 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* 1 (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 16 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ 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)))
* * * * [misc]progress:  [ 17 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* J (* -2 (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* -2 (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* -2 (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* -2 (cos (/ K 2))))
* * * * [misc]progress:  [ 18 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* J -2)))>
* * * * [misc]progress:  [ 19 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (log1p (expm1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (expm1 (/ (/ 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 (29 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (/ U (+ J J)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (expm1 (/ (/ U (+ J J)) (cos (/ K 2))))
* * * * [misc]progress:  [ 20 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (expm1 (log1p (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (log1p (/ (/ 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 (29 enodes)
* [exit]simplify:  Simplified to (log1p (/ (/ U (+ J J)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (log1p (/ (/ U (+ J J)) (cos (/ K 2))))
* * * * [misc]progress:  [ 21 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (pow (/ (/ U (+ J J)) (cos (/ K 2))) 1)))))>
* * * * [misc]progress:  [ 22 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (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:  [ 23 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (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 (41 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (65 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:  [ 24 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (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 (29 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:  [ 25 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (cbrt (/ (* (* (/ U (+ J J)) (/ U (+ J J))) (/ U (+ J J))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ U (+ J J)) (/ U (+ J J))) (/ U (+ J J))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (358 enodes)
* [exit]simplify:  Simplified to (pow (/ (/ U (+ J J)) (cos (/ K 2))) 3)
* [exit]simplify:  Simplified to (pow (/ (/ U (+ J J)) (cos (/ K 2))) 3)
* * * * [misc]progress:  [ 26 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* (* (cbrt (/ (/ U (+ J J)) (cos (/ K 2)))) (cbrt (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (/ U (+ J J)) (cos (/ K 2)))) (cbrt (/ (/ U (+ J J)) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (/ U (+ J J)) (cos (/ K 2)))) (cbrt (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (/ U (+ J J)) (cos (/ K 2)))) (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 (29 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:  [ 27 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (cbrt (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (/ (/ U (+ J J)) (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (296 enodes)
* [exit]simplify:  Simplified to (pow (/ (/ U (+ J J)) (cos (/ K 2))) 3)
* [exit]simplify:  Simplified to (pow (/ (/ U (+ J J)) (cos (/ K 2))) 3)
* * * * [misc]progress:  [ 28 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* (sqrt (/ (/ U (+ J J)) (cos (/ K 2)))) (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 (29 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ U (+ J J)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (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 (29 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:  [ 29 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (- (/ 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:  [ 30 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* (/ (* (cbrt (/ U (+ J J))) (cbrt (/ U (+ J J)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (cbrt (/ U (+ J J))) (cbrt (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ U (+ J J))) (cbrt (/ U (+ J J)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ U (+ J J))) (cbrt (cos (/ K 2)))) (/ (cbrt (/ U (+ J J))) (cbrt (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (/ U (+ J J))) (cbrt (cos (/ K 2)))) (/ (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:  [ 31 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* (/ (* (cbrt (/ U (+ J J))) (cbrt (/ U (+ J J)))) (sqrt (cos (/ K 2)))) (/ (cbrt (/ U (+ J J))) (sqrt (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ U (+ J J))) (cbrt (/ U (+ J J)))) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ U (+ J J))) (/ (sqrt (cos (/ K 2))) (cbrt (/ U (+ J J)))))
* [exit]simplify:  Simplified to (/ (cbrt (/ U (+ J J))) (/ (sqrt (cos (/ K 2))) (cbrt (/ U (+ J J)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ 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 (/ (cbrt (/ U (+ J J))) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (cbrt (/ U (+ J J))) (sqrt (cos (/ K 2))))
* * * * [misc]progress:  [ 32 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* (/ (* (cbrt (/ U (+ J J))) (cbrt (/ U (+ J J)))) 1) (/ (cbrt (/ U (+ J J))) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ U (+ J J))) (cbrt (/ U (+ J J)))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ U (+ J J))) 1) (cbrt (/ U (+ J J))))
* [exit]simplify:  Simplified to (* (/ (cbrt (/ U (+ J J))) 1) (cbrt (/ U (+ J J))))
* [enter]simplify:  Simplifying (/ (cbrt (/ U (+ J J))) (cos (/ K 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 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:  [ 33 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* (/ (sqrt (/ U (+ J J))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (sqrt (/ U (+ J J))) (cbrt (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ U (+ J J))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ U (+ J J))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ U (+ J J))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [enter]simplify:  Simplifying (/ (sqrt (/ 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 (/ (sqrt (/ U (+ J J))) (cbrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (sqrt (/ U (+ J J))) (cbrt (cos (/ K 2))))
* * * * [misc]progress:  [ 34 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* (/ (sqrt (/ U (+ J J))) (sqrt (cos (/ K 2)))) (/ (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))))
* [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:  [ 35 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* (/ (sqrt (/ U (+ J J))) 1) (/ (sqrt (/ U (+ J J))) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ U (+ J J))) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ U (+ J J))) 1)
* [exit]simplify:  Simplified to (/ (sqrt (/ U (+ J J))) 1)
* [enter]simplify:  Simplifying (/ (sqrt (/ U (+ J J))) (cos (/ K 2)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 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:  [ 36 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* (/ 1 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (/ U (+ J J)) (cbrt (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))
* [enter]simplify:  Simplifying (/ (/ U (+ J J)) (cbrt (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 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ U (+ J J)) (cbrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ U (+ J J)) (cbrt (cos (/ K 2))))
* * * * [misc]progress:  [ 37 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* (/ 1 (sqrt (cos (/ K 2)))) (/ (/ U (+ J J)) (sqrt (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (cos (/ K 2))))
* [enter]simplify:  Simplifying (/ (/ U (+ J J)) (sqrt (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 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ U (+ J J)) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ U (+ J J)) (sqrt (cos (/ K 2))))
* * * * [misc]progress:  [ 38 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* (/ 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 (28 enodes)
* [exit]simplify:  Simplified to (/ (/ U (+ J J)) (cos (/ K 2)))
* [exit]simplify:  Simplified to (/ (/ U (+ J J)) (cos (/ K 2)))
* * * * [misc]progress:  [ 39 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* (/ U (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (/ 1 (+ J J)) (cbrt (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (/ U (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ U (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [exit]simplify:  Simplified to (/ U (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [enter]simplify:  Simplifying (/ (/ 1 (+ J J)) (cbrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ J J)) (cbrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (+ J J)) (cbrt (cos (/ K 2))))
* * * * [misc]progress:  [ 40 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* (/ U (sqrt (cos (/ K 2)))) (/ (/ 1 (+ J J)) (sqrt (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (/ U (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* [exit]simplify:  Simplified to (/ U (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ U (sqrt (cos (/ K 2))))
* [enter]simplify:  Simplifying (/ (/ 1 (+ J J)) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ J J)) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ 1 (+ J J)) (sqrt (cos (/ K 2))))
* * * * [misc]progress:  [ 41 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* (/ 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 (30 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ J J)) (cos (/ K 2)))
* [exit]simplify:  Simplified to (/ (/ 1 (+ J J)) (cos (/ K 2)))
* * * * [misc]progress:  [ 42 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* (/ (/ U (+ (pow J 3) (pow J 3))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (+ (* J J) (- (* J J) (* J J))) (cbrt (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (/ (/ U (+ (pow J 3) (pow J 3))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (/ U (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* (* J J) (+ J J))))
* [exit]simplify:  Simplified to (/ (/ U (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* (* J J) (+ J J))))
* [enter]simplify:  Simplifying (/ (+ (* J J) (- (* J J) (* J J))) (cbrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 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 (32 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (/ (* J J) (cbrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (* J J) (cbrt (cos (/ K 2))))
* * * * [misc]progress:  [ 43 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* (/ (/ U (+ (pow J 3) (pow J 3))) (sqrt (cos (/ K 2)))) (/ (+ (* J J) (- (* J J) (* J J))) (sqrt (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (/ (/ U (+ (pow J 3) (pow J 3))) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ U 2) (pow J 3)) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ (/ U 2) (pow J 3)) (sqrt (cos (/ K 2))))
* [enter]simplify:  Simplifying (/ (+ (* J J) (- (* J J) (* J J))) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (10 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 (32 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (/ (* J J) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (* J J) (sqrt (cos (/ K 2))))
* * * * [misc]progress:  [ 44 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* (/ (/ U (+ (pow J 3) (pow J 3))) 1) (/ (+ (* J J) (- (* J 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 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (/ (/ U 2) (pow J 3))
* [exit]simplify:  Simplified to (/ (/ U 2) (pow J 3))
* [enter]simplify:  Simplifying (/ (+ (* J J) (- (* J J) (* J J))) (cos (/ K 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (/ (* J J) (cos (/ K 2)))
* [exit]simplify:  Simplified to (/ (* J J) (cos (/ K 2)))
* * * * [misc]progress:  [ 45 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* (/ (/ U (- (* J J) (* J J))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (/ (- J J) (cbrt (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (/ (/ U (- (* J J) (* J J))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* [exit]simplify:  Simplified to (/ U 0)
* [exit]simplify:  Simplified to (/ U 0)
* [enter]simplify:  Simplifying (/ (- J J) (cbrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to 0
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 46 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* (/ (/ U (- (* J J) (* J J))) (sqrt (cos (/ K 2)))) (/ (- J J) (sqrt (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (/ (/ U (- (* J J) (* J J))) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ U 0)
* [exit]simplify:  Simplified to (/ U 0)
* [enter]simplify:  Simplifying (/ (- J J) (sqrt (cos (/ K 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to 0
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 47 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* (/ (/ U (- (* J J) (* J J))) 1) (/ (- J J) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (/ U (- (* J J) (* J J))) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (22 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:  [ 48 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 49 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* (/ 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:  [ 50 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ 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 (42 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (/ U (+ J J)))
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (/ U (+ J J)))
* * * * [misc]progress:  [ 51 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U (+ J J)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (/ U (+ J J)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (/ (/ U (+ J J)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* [exit]simplify:  Simplified to (/ (/ U (+ J J)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
* * * * [misc]progress:  [ 52 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U (+ J J)) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (/ (/ U (+ J J)) (sqrt (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 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ U (+ J J)) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (/ (/ U (+ J J)) (sqrt (cos (/ K 2))))
* * * * [misc]progress:  [ 53 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ 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 (19 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (/ U (+ J J))
* [exit]simplify:  Simplified to (/ U (+ J J))
* * * * [misc]progress:  [ 54 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (* (cbrt (/ U (+ J J))) (cbrt (/ U (+ J J)))) (/ (cos (/ K 2)) (cbrt (/ U (+ J J)))))))))>
* [enter]simplify:  Simplifying (/ (cos (/ K 2)) (cbrt (/ U (+ J J))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (cbrt (/ U (+ J J))))
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (cbrt (/ U (+ J J))))
* * * * [misc]progress:  [ 55 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (sqrt (/ U (+ J J))) (/ (cos (/ K 2)) (sqrt (/ U (+ J J)))))))))>
* [enter]simplify:  Simplifying (/ (cos (/ K 2)) (sqrt (/ U (+ J J))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (sqrt (/ U (+ J J))))
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (sqrt (/ U (+ J J))))
* * * * [misc]progress:  [ 56 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ 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 (42 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (/ U (+ J J)))
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (/ U (+ J J)))
* * * * [misc]progress:  [ 57 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ 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 (44 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (/ 1 (+ J J)))
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (/ 1 (+ J J)))
* * * * [misc]progress:  [ 58 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ (pow J 3) (pow J 3))) (/ (cos (/ K 2)) (+ (* J J) (- (* J J) (* J J)))))))))>
* [enter]simplify:  Simplifying (/ (cos (/ K 2)) (+ (* J J) (- (* J J) (* J J))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (31 enodes)
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (* J J))
* [exit]simplify:  Simplified to (/ (cos (/ K 2)) (* J J))
* * * * [misc]progress:  [ 59 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (- (* J J) (* J 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:  [ 60 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ 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 (20 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (+ J J))
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (+ J J))
* * * * [misc]progress:  [ 61 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (log1p (expm1 (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (expm1 (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (expm1 (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2))))
* [exit]simplify:  Simplified to (expm1 (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2))))
* * * * [misc]progress:  [ 62 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (expm1 (log1p (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (log1p (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (log1p (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2))))
* [exit]simplify:  Simplified to (log1p (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2))))
* * * * [misc]progress:  [ 63 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (pow (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) 1)))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) (hypot 1 (/ (/ 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 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2)))
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2)))
* * * * [misc]progress:  [ 64 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (pow (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) 1)))>
* * * * [misc]progress:  [ 65 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (exp (+ (log (cos (/ K 2))) (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (+ (log (cos (/ K 2))) (log (hypot 1 (/ (/ 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 (36 enodes)
* [exit]simplify:  Simplified to (+ (log (cos (/ K 2))) (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (+ (log (cos (/ K 2))) (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 66 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (exp (log (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (log (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* [exit]simplify:  Simplified to (log (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2))))
* [exit]simplify:  Simplified to (log (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2))))
* * * * [misc]progress:  [ 67 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (log (exp (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (exp (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (pow (exp (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (pow (exp (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 68 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (cbrt (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (95 enodes)
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (pow (cos (/ K 2)) 3)) (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (pow (cos (/ K 2)) 3)) (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 69 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (* (cbrt (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (* (cos (/ K 2)) (hypot 1 (/ (/ 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 (36 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2)))) (cbrt (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (cbrt (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2)))) (cbrt (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2)))))
* [enter]simplify:  Simplifying (cbrt (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (cbrt (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2))))
* [exit]simplify:  Simplified to (cbrt (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2))))
* * * * [misc]progress:  [ 70 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (cbrt (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (pow (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2))) 3)
* [exit]simplify:  Simplified to (pow (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2))) 3)
* * * * [misc]progress:  [ 71 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (sqrt (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (sqrt (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2))))
* [exit]simplify:  Simplified to (sqrt (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2))))
* [enter]simplify:  Simplifying (sqrt (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (sqrt (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2))))
* [exit]simplify:  Simplified to (sqrt (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2))))
* * * * [misc]progress:  [ 72 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* 1 (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 73 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (* (cos (/ K 2)) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ 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 (33 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cos (/ K 2)))
* [exit]simplify:  Simplified to (* (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cos (/ K 2)))
* * * * [misc]progress:  [ 74 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (* (cos (/ K 2)) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 75 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (* (cos (/ K 2)) 1) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) 1)
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (cos (/ K 2))
* [exit]simplify:  Simplified to (cos (/ K 2))
* * * * [misc]progress:  [ 76 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (cbrt (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cbrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cbrt (cos (/ K 2))))
* * * * [misc]progress:  [ 77 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (sqrt (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (sqrt (cos (/ K 2))))
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (sqrt (cos (/ K 2))))
* * * * [misc]progress:  [ 78 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* 1 (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) (hypot 1 (/ (/ 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 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2)))
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2)))
* * * * [misc]progress:  [ 79 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2)))))>
* * * * [misc]progress:  [ 80 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (log1p (expm1 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (expm1 (hypot 1 (/ (/ 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 (33 enodes)
* [exit]simplify:  Simplified to (expm1 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (expm1 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 81 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (expm1 (log1p (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (log1p (hypot 1 (/ (/ 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 (33 enodes)
* [exit]simplify:  Simplified to (log1p (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (log1p (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 82 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (155 enodes)
* * [misc]simplify:  iters left: 1 (326 enodes)
* [exit]simplify:  Simplified to (fma (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))) 1)
* [exit]simplify:  Simplified to (fma (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))) 1)
* * * * [misc]progress:  [ 83 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1))))>
* * * * [misc]progress:  [ 84 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (exp (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (log (hypot 1 (/ (/ 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 (33 enodes)
* [exit]simplify:  Simplified to (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 85 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (log (exp (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (exp (hypot 1 (/ (/ 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 (33 enodes)
* [exit]simplify:  Simplified to (exp (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (exp (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 86 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (* (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (cbrt (hypot 1 (/ (/ 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 (33 enodes)
* [exit]simplify:  Simplified to (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 87 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (cbrt (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 3)
* [exit]simplify:  Simplified to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 3)
* * * * [misc]progress:  [ 88 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (sqrt (hypot 1 (/ (/ 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 (33 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [enter]simplify:  Simplifying (sqrt (hypot 1 (/ (/ 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 (33 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 89 / 101 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (* 1 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 90 / 101 ] 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:  [ 91 / 101 ] 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 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (* (* J -2) (cos (* K 1/2)))
* * * * [misc]progress:  [ 92 / 101 ] 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 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (* (* J -2) (cos (* K 1/2)))
* * * * [misc]progress:  [ 93 / 101 ] simplifiying candidate #<alt-event (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))))))>
* [enter]simplify:  Simplifying (* (* J -2) (* (cos (/ K 2)) (hypot 1 (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (169 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (fma (/ (* U K) (/ J K)) 1/16 (* 1/2 (/ U J)))))
* * * * [misc]progress:  [ 94 / 101 ] simplifiying candidate #<alt-event (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))>
* [enter]simplify:  Simplifying (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* 1/2 (/ U (* J (cos (* 1/2 K))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))) (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 95 / 101 ] simplifiying candidate #<alt-event (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))))>
* [enter]simplify:  Simplifying (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* 1/2 (/ U (* J (cos (* 1/2 K))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))) (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 96 / 101 ] simplifiying candidate #<alt-event (λ (J K U) (* (* J -2) (- 1 (* 1/8 (pow K 2)))))>
* [enter]simplify:  Simplifying (* (* J -2) (- 1 (* 1/8 (pow K 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (* (- 1 (* (* K 1/8) K)) (* -2 J))
* * * * [misc]progress:  [ 97 / 101 ] simplifiying candidate #<alt-event (λ (J K U) (* (* J -2) (* 1/2 (/ U J))))>
* [enter]simplify:  Simplifying (* (* J -2) (* 1/2 (/ U J)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (* (* (/ U J) (* 1/2 J)) -2)
* * * * [misc]progress:  [ 98 / 101 ] simplifiying candidate #<alt-event (λ (J K U) (* (* J -2) (* 1/2 (/ U J))))>
* [enter]simplify:  Simplifying (* (* J -2) (* 1/2 (/ U J)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (* (* (/ U J) (* 1/2 J)) -2)
* * * * [misc]progress:  [ 99 / 101 ] simplifiying candidate #<alt-event (λ (J K U) (* (* J -2) (* (cos (/ K 2)) 1)))>
* [enter]simplify:  Simplifying (* (* J -2) (* (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)
* [exit]simplify:  Simplified to (* (cos (/ K 2)) (* -2 J))
* * * * [misc]progress:  [ 100 / 101 ] simplifiying candidate #<alt-event (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (* 1/2 (/ U (* J (cos (* 1/2 K))))))))>
* [enter]simplify:  Simplifying (* (* J -2) (* (cos (/ K 2)) (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (263 enodes)
* [exit]simplify:  Simplified to (/ (* (* -2 (* U 1/2)) (cos (/ K 2))) (/ (cos (* K 1/2)) 1))
* * * * [misc]progress:  [ 101 / 101 ] simplifiying candidate #<alt-event (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (* 1/2 (/ U (* J (cos (* 1/2 K))))))))>
* [enter]simplify:  Simplifying (* (* J -2) (* (cos (/ K 2)) (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (263 enodes)
* [exit]simplify:  Simplified to (/ (* (* -2 (* U 1/2)) (cos (/ K 2))) (/ (cos (* K 1/2)) 1))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (/ (pow U 2) (pow J 2))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in 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 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]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (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 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ U (cos (* 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ U (cos (* 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]taylor:  Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/16 in J
* [misc]backup-simplify:  Simplify 1/16 into 1/16
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log (cos (* 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (log (cos (* 1/2 K)))) into (* 2 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2))
* [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [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]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]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 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) 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 (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ 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 (* +nan.0 (/ J (cos (/ 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of +nan.0 in J
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [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 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 (pow (* +nan.0 (/ J (cos (/ 1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of +nan.0 in J
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (/ 1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log (cos (/ 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (log (cos (/ 1/2 K)))) into (* 2 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (cos (/ 1/2 K)))) into (/ +nan.0 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (/ +nan.0 (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of +nan.0 in K
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [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 (/ +nan.0 (cos (/ 1/2 K))) into (/ +nan.0 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ +nan.0 (cos (/ 1/2 K))) into (/ +nan.0 (cos (/ 1/2 K)))
* [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 1) into 1
* [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]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]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 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
* [misc]backup-simplify:  Simplify (/ (- (/ (cos (/ 1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ 1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) in J
* [misc]taylor:  Taking taylor expansion of +nan.0 in J
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)))) in 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]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))) in J
* [misc]taylor:  Taking taylor expansion of +nan.0 in J
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)) in J
* [misc]taylor:  Taking taylor expansion of (pow J 3) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1/2 K)) 3) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 3 in J
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ 1/2 K)))) into (* 3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (cos (/ 1/2 K)) 3)) into (/ 1 (pow (cos (/ 1/2 K)) 3))
* [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]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (+ (* +nan.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 (+ (* (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 (+ (* +nan.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]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 (* (/ +nan.0 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) 1))) into (/ +nan.0 (* (cos (* 1/2 K)) J))
* [misc]approximate:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ 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 (* +nan.0 (/ J (cos (/ -1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of +nan.0 in J
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [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 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 (pow (* +nan.0 (/ J (cos (/ -1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of +nan.0 in J
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (/ -1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log (cos (/ -1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (log (cos (/ -1/2 K)))) into (* 2 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (cos (/ -1/2 K)))) into (/ +nan.0 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of (/ +nan.0 (cos (/ -1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of +nan.0 in K
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [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 (/ +nan.0 (cos (/ -1/2 K))) into (/ +nan.0 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ +nan.0 (cos (/ -1/2 K))) into (/ +nan.0 (cos (/ -1/2 K)))
* [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 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)))) 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]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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]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 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
* [misc]backup-simplify:  Simplify (/ (- (/ (cos (/ -1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ -1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) in J
* [misc]taylor:  Taking taylor expansion of +nan.0 in J
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)))) in 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]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))) in J
* [misc]taylor:  Taking taylor expansion of +nan.0 in J
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)) in J
* [misc]taylor:  Taking taylor expansion of (pow J 3) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ -1/2 K)) 3) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ -1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ -1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 3 in J
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ -1/2 K)))) into (* 3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (cos (/ -1/2 K)) 3)) into (/ 1 (pow (cos (/ -1/2 K)) 3))
* [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]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (+ (* +nan.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 (+ (* (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 (+ (* +nan.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]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 (* (/ +nan.0 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) 1))) into (/ +nan.0 (* (cos (* 1/2 K)) J))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (/ (pow U 2) (pow J 2))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in 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 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]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (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 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ U (cos (* 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ U (cos (* 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [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 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]taylor:  Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/16 in J
* [misc]backup-simplify:  Simplify 1/16 into 1/16
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log (cos (* 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (log (cos (* 1/2 K)))) into (* 2 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2))
* [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [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]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]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 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) 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 (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ 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 (* +nan.0 (/ J (cos (/ 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of +nan.0 in J
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [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 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 (pow (* +nan.0 (/ J (cos (/ 1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of +nan.0 in J
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (/ 1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log (cos (/ 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (log (cos (/ 1/2 K)))) into (* 2 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (cos (/ 1/2 K)))) into (/ +nan.0 (cos (/ 1/2 K)))
* [misc]taylor:  Taking taylor expansion of (/ +nan.0 (cos (/ 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of +nan.0 in K
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [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 (/ +nan.0 (cos (/ 1/2 K))) into (/ +nan.0 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (/ +nan.0 (cos (/ 1/2 K))) into (/ +nan.0 (cos (/ 1/2 K)))
* [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 1) into 1
* [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]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]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 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
* [misc]backup-simplify:  Simplify (/ (- (/ (cos (/ 1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ 1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) in J
* [misc]taylor:  Taking taylor expansion of +nan.0 in J
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)))) in 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]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))) in J
* [misc]taylor:  Taking taylor expansion of +nan.0 in J
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)) in J
* [misc]taylor:  Taking taylor expansion of (pow J 3) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1/2 K)) 3) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 3 in J
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ 1/2 K)))) into (* 3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (cos (/ 1/2 K)) 3)) into (/ 1 (pow (cos (/ 1/2 K)) 3))
* [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]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
* [misc]backup-simplify:  Simplify (+ (* +nan.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 (+ (* (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 (+ (* +nan.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]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 (* (/ +nan.0 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) 1))) into (/ +nan.0 (* (cos (* 1/2 K)) J))
* [misc]approximate:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ 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 (* +nan.0 (/ J (cos (/ -1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of +nan.0 in J
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [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 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 (pow (* +nan.0 (/ J (cos (/ -1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of +nan.0 in J
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (/ -1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log (cos (/ -1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (log (cos (/ -1/2 K)))) into (* 2 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (cos (/ -1/2 K)))) into (/ +nan.0 (cos (/ -1/2 K)))
* [misc]taylor:  Taking taylor expansion of (/ +nan.0 (cos (/ -1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of +nan.0 in K
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [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 (/ +nan.0 (cos (/ -1/2 K))) into (/ +nan.0 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ +nan.0 (cos (/ -1/2 K))) into (/ +nan.0 (cos (/ -1/2 K)))
* [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 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)))) 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]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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]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 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
* [misc]backup-simplify:  Simplify (/ (- (/ (cos (/ -1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ -1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) in J
* [misc]taylor:  Taking taylor expansion of +nan.0 in J
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)))) in 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]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))) in J
* [misc]taylor:  Taking taylor expansion of +nan.0 in J
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)) in J
* [misc]taylor:  Taking taylor expansion of (pow J 3) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ -1/2 K)) 3) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ -1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ -1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 3 in J
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ -1/2 K)))) into (* 3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (cos (/ -1/2 K)) 3)) into (/ 1 (pow (cos (/ -1/2 K)) 3))
* [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]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
* [misc]backup-simplify:  Simplify (+ (* +nan.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 (+ (* (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 (+ (* +nan.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]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 (* (/ +nan.0 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) 1))) into (/ +nan.0 (* (cos (* 1/2 K)) J))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* J -2) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* J -2) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (/ (pow U 2) (pow J 2))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (/ (pow U 2) (pow J 2))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* J -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in 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 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]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (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 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ U (cos (* 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ U (cos (* 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in 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 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]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (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 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ U (cos (* 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ U (cos (* 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* J -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in 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 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]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (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 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ U (cos (* 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ U (cos (* 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in 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 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]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (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 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ U (cos (* 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (* 0 -2) 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 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) 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 (* +nan.0 (/ U (cos (* 1/2 K))))) (* (* +nan.0 (/ U (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 (- (/ 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 0) (* 1 -2)) 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)))) 0)) 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 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (/ U (cos (* 1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (/ U (cos (* 1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (+ (* (* +nan.0 (/ U (cos (* 1/2 K)))) (* +nan.0 (/ U (cos (* 1/2 K))))) (* (* +nan.0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0))) into (- (* +nan.0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))
* [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 0) (+ (* 1 0) (* 0 -2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (- (* +nan.0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) (+ (* (- (* 2 (cos (* 1/2 K)))) 0) (* 0 0))) 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 0 into 0
* [misc]approximate:  Taking taylor expansion of (* (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) (* (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) (* (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* (/ 1 J) -2) 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 -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) (* (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* (/ 1 J) -2) 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 -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) (* (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* (/ 1 J) -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) (* (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* (/ 1 J) -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* 1 -2) 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 1) into 1
* [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 (+ (* 1 0) (* 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 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 -2)) 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 1/2 (* (cos (/ 1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/16 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 1/2 (* (cos (/ 1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/16 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* 1 (/ 1/16 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* (/ 1/16 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))) 1))) into (* 1/8 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))
* [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 (+ (* 1 0) (+ (* 0 0) (* 0 -2))) 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 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))) 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)) (pow U 2))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1/2 K)) (pow U 2)) 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 (pow U 2) in K
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (pow U 2)) into (* (cos (/ 1/2 K)) (pow U 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (cos (/ 1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ 1/2 K)) (pow U 2)))
* [misc]backup-simplify:  Simplify (- (/ 1/4 (* (cos (/ 1/2 K)) (pow U 2)))) into (- (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))) 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)) (pow U 2))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1/2 K)) (pow U 2)) 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 (pow U 2) in U
* [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 (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (cos (/ 1/2 K)))) into (/ 1/4 (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (- (/ 1/4 (cos (/ 1/2 K)))) into (- (* 1/4 (/ 1 (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (- (* 1/4 (/ 1 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (cos (/ 1/2 K)))))
* [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 (* (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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) 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 (* (cos (/ 1/2 K)) U)) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) 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 (* (cos (/ 1/2 K)) U)) (/ 0 (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 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/16 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) 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 (* (cos (/ 1/2 K)) U)) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) 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 (* (cos (/ 1/2 K)) U)) (/ 0 (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 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/16 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 (/ 1/16 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (+ (* (/ 1/16 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) 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 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))) (+ (* 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log U))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log U))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (pow U 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (cos (/ 1/2 K)) (pow U 2))) (/ 0 (* (cos (/ 1/2 K)) (pow U 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))))) 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) 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 1)) 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]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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)) (* 0 (/ 0 2)))) 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 (* (cos (/ 1/2 K)) U)) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)) (* 0 (/ 0 2)))) 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 (* (cos (/ 1/2 K)) U)) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (/ 1/2 K)) U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/128 (* (pow (cos (/ 1/2 K)) 4) (pow U 4)))
* [misc]backup-simplify:  Simplify (/ (- (/ -1/128 (* (pow (cos (/ 1/2 K)) 4) (pow U 4))) (pow (/ 1/16 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -3/512 (* (pow (cos (/ 1/2 K)) 4) (pow U 4)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)) (* 0 (/ 0 2)))) 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 (* (cos (/ 1/2 K)) U)) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)) (* 0 (/ 0 2)))) 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 (* (cos (/ 1/2 K)) U)) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (/ 1/2 K)) U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/128 (* (pow (cos (/ 1/2 K)) 4) (pow U 4)))
* [misc]backup-simplify:  Simplify (/ (- (/ -1/128 (* (pow (cos (/ 1/2 K)) 4) (pow U 4))) (pow (/ 1/16 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -3/512 (* (pow (cos (/ 1/2 K)) 4) (pow U 4)))
* [misc]backup-simplify:  Simplify (+ (* 1 (/ -3/512 (* (pow (cos (/ 1/2 K)) 4) (pow U 4)))) (+ (* 0 0) (+ (* (/ 1/16 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))) (/ 1/16 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* (/ -3/512 (* (pow (cos (/ 1/2 K)) 4) (pow U 4))) 1))))) into (- (* 1/128 (/ 1 (* (pow (cos (/ 1/2 K)) 4) (pow U 4)))))
* [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 K) (/ 0 K)) (* 0 (/ 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)) (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* -2 (cos (/ 1/2 K))) (- (* 1/128 (/ 1 (* (pow (cos (/ 1/2 K)) 4) (pow U 4)))))) (+ (* 0 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))) (+ (* 0 0) (* 0 1))))) into (* 1/64 (/ 1 (* (pow (cos (/ 1/2 K)) 3) (pow U 4))))
* [misc]taylor:  Taking taylor expansion of (* 1/64 (/ 1 (* (pow (cos (/ 1/2 K)) 3) (pow U 4)))) in K
* [misc]taylor:  Taking taylor expansion of 1/64 in K
* [misc]backup-simplify:  Simplify 1/64 into 1/64
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (cos (/ 1/2 K)) 3) (pow U 4))) in K
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (/ 1/2 K)) 3) (pow U 4)) in K
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1/2 K)) 3) in K
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1/2 K))))) in K
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of 3 in K
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ 1/2 K)))) into (* 3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 3)
* [misc]taylor:  Taking taylor expansion of (pow U 4) in K
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log U))) in K
* [misc]taylor:  Taking taylor expansion of (* 4 (log U)) in K
* [misc]taylor:  Taking taylor expansion of 4 in K
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (* 4 (log U)) into (* 4 (log U))
* [misc]backup-simplify:  Simplify (exp (* 4 (log U))) into (pow U 4)
* [misc]backup-simplify:  Simplify (* (pow (cos (/ 1/2 K)) 3) (pow U 4)) into (* (pow (cos (/ 1/2 K)) 3) (pow U 4))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (cos (/ 1/2 K)) 3) (pow U 4))) into (/ 1 (* (pow (cos (/ 1/2 K)) 3) (pow U 4)))
* [misc]backup-simplify:  Simplify (* 1/64 (/ 1 (* (pow (cos (/ 1/2 K)) 3) (pow U 4)))) into (/ 1/64 (* (pow (cos (/ 1/2 K)) 3) (pow U 4)))
* [misc]taylor:  Taking taylor expansion of (/ 1/64 (* (pow (cos (/ 1/2 K)) 3) (pow U 4))) in U
* [misc]taylor:  Taking taylor expansion of 1/64 in U
* [misc]backup-simplify:  Simplify 1/64 into 1/64
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (/ 1/2 K)) 3) (pow U 4)) in U
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1/2 K)) 3) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ 1/2 K))))) in U
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ 1/2 K)))) in U
* [misc]taylor:  Taking taylor expansion of 3 in U
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ 1/2 K))) 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]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 (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ 1/2 K)))) into (* 3 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 3)
* [misc]taylor:  Taking taylor expansion of (pow U 4) in U
* [misc]backup-simplify:  Simplify (* (pow (cos (/ 1/2 K)) 3) 1) into (pow (cos (/ 1/2 K)) 3)
* [misc]backup-simplify:  Simplify (/ 1/64 (pow (cos (/ 1/2 K)) 3)) into (/ 1/64 (pow (cos (/ 1/2 K)) 3))
* [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 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 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 3)) (+ (* (/ 1/64 (pow (cos (/ 1/2 K)) 3)) (/ 0 (pow (cos (/ 1/2 K)) 3))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 3)) (+ (* (/ 1/64 (pow (cos (/ 1/2 K)) 3)) (/ 0 (pow (cos (/ 1/2 K)) 3))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 3))))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log U))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (pow U 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (cos (/ 1/2 K)) (pow U 2))) (/ 0 (* (cos (/ 1/2 K)) (pow U 2)))) (* 0 (/ 0 (* (cos (/ 1/2 K)) (pow U 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))))) 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 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 (+ (* -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 1))) 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 (+ (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) (* (- (* 1/4 (/ 1 (cos (/ 1/2 (/ 1 K)))))) (* (pow (/ 1 U) -2) (* 1 (/ 1 J))))) into (- (+ (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) (* 2 (* (cos (* 1/2 K)) J))))
* [misc]approximate:  Taking taylor expansion of (* (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (* (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (* (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- J)) -2) 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 -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (* (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- J)) -2) 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 -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (* (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- J)) -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (* (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- J)) -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* -1 -2) 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 1) into 1
* [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 (+ (* 1 0) (* 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -2)) 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 1/2 (* (cos (/ -1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/16 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 1/2 (* (cos (/ -1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/16 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* 1 (/ 1/16 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* (/ 1/16 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1))) into (* 1/8 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [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 (+ (* -1 0) (+ (* 0 0) (* 0 -2))) 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 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) (+ (* 0 0) (* 0 1))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 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)) (pow U 2))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) 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 (pow U 2) in K
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))
* [misc]backup-simplify:  Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2)))
* [misc]taylor:  Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) 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)) (pow U 2)) 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 (pow U 2) in U
* [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 (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K)))
* [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 (* (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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -2) (+ (* (/ 1/2 U) (/ 0 -2)))) 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 (* (cos (/ -1/2 K)) U)) (/ 0 (cos (/ -1/2 K)))))) 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -2) (+ (* (/ 1/2 U) (/ 0 -2)))) 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 (* (cos (/ -1/2 K)) U)) (/ 0 (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 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/16 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -2) (+ (* (/ 1/2 U) (/ 0 -2)))) 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 (* (cos (/ -1/2 K)) U)) (/ 0 (cos (/ -1/2 K)))))) 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -2) (+ (* (/ 1/2 U) (/ 0 -2)))) 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 (* (cos (/ -1/2 K)) U)) (/ 0 (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 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/16 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 (/ 1/16 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* (/ 1/16 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) 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 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) (+ (* 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log U))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log U))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) 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) 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 1)) 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]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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -2) (+ (* (/ 1/2 U) (/ 0 -2)) (* 0 (/ 0 -2)))) 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 (* (cos (/ -1/2 K)) U)) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -2) (+ (* (/ 1/2 U) (/ 0 -2)) (* 0 (/ 0 -2)))) 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 (* (cos (/ -1/2 K)) U)) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (/ -1/2 K)) U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/128 (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))
* [misc]backup-simplify:  Simplify (/ (- (/ -1/128 (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) (pow (/ 1/16 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -3/512 (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -2) (+ (* (/ 1/2 U) (/ 0 -2)) (* 0 (/ 0 -2)))) 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 (* (cos (/ -1/2 K)) U)) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- U) into (- U)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -2) (+ (* (/ 1/2 U) (/ 0 -2)) (* 0 (/ 0 -2)))) 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 (* (cos (/ -1/2 K)) U)) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (/ -1/2 K)) U))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/128 (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))
* [misc]backup-simplify:  Simplify (/ (- (/ -1/128 (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) (pow (/ 1/16 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -3/512 (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))
* [misc]backup-simplify:  Simplify (+ (* 1 (/ -3/512 (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) (+ (* 0 0) (+ (* (/ 1/16 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 1/16 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* (/ -3/512 (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) 1))))) into (- (* 1/128 (/ 1 (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))))
* [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) 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- K) into (- K)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 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)) (* 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 2 (cos (/ -1/2 K))) (- (* 1/128 (/ 1 (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))))) (+ (* 0 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) (+ (* 0 0) (* 0 1))))) into (- (* 1/64 (/ 1 (* (pow (cos (/ -1/2 K)) 3) (pow U 4)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/64 (/ 1 (* (pow (cos (/ -1/2 K)) 3) (pow U 4))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/64 (/ 1 (* (pow (cos (/ -1/2 K)) 3) (pow U 4)))) in K
* [misc]taylor:  Taking taylor expansion of 1/64 in K
* [misc]backup-simplify:  Simplify 1/64 into 1/64
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (cos (/ -1/2 K)) 3) (pow U 4))) in K
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 3) (pow U 4)) in K
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ -1/2 K)) 3) in K
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ -1/2 K))))) in K
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ -1/2 K)))) in K
* [misc]taylor:  Taking taylor expansion of 3 in K
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (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 (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ -1/2 K)))) into (* 3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 3)
* [misc]taylor:  Taking taylor expansion of (pow U 4) in K
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log U))) in K
* [misc]taylor:  Taking taylor expansion of (* 4 (log U)) in K
* [misc]taylor:  Taking taylor expansion of 4 in K
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (* 4 (log U)) into (* 4 (log U))
* [misc]backup-simplify:  Simplify (exp (* 4 (log U))) into (pow U 4)
* [misc]backup-simplify:  Simplify (* (pow (cos (/ -1/2 K)) 3) (pow U 4)) into (* (pow (cos (/ -1/2 K)) 3) (pow U 4))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 3) (pow U 4))) into (/ 1 (* (pow (cos (/ -1/2 K)) 3) (pow U 4)))
* [misc]backup-simplify:  Simplify (* 1/64 (/ 1 (* (pow (cos (/ -1/2 K)) 3) (pow U 4)))) into (/ 1/64 (* (pow (cos (/ -1/2 K)) 3) (pow U 4)))
* [misc]backup-simplify:  Simplify (- (/ 1/64 (* (pow (cos (/ -1/2 K)) 3) (pow U 4)))) into (- (* 1/64 (/ 1 (* (pow (cos (/ -1/2 K)) 3) (pow U 4)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/64 (/ 1 (* (pow (cos (/ -1/2 K)) 3) (pow U 4))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/64 (/ 1 (* (pow (cos (/ -1/2 K)) 3) (pow U 4)))) in U
* [misc]taylor:  Taking taylor expansion of 1/64 in U
* [misc]backup-simplify:  Simplify 1/64 into 1/64
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (cos (/ -1/2 K)) 3) (pow U 4))) in U
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 3) (pow U 4)) in U
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ -1/2 K)) 3) in U
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (cos (/ -1/2 K))))) in U
* [misc]taylor:  Taking taylor expansion of (* 3 (log (cos (/ -1/2 K)))) in U
* [misc]taylor:  Taking taylor expansion of 3 in U
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (cos (/ -1/2 K))) 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]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 (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 3 (log (cos (/ -1/2 K)))) into (* 3 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 3)
* [misc]taylor:  Taking taylor expansion of (pow U 4) in U
* [misc]backup-simplify:  Simplify (* (pow (cos (/ -1/2 K)) 3) 1) into (pow (cos (/ -1/2 K)) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (cos (/ -1/2 K)) 3)) into (/ 1 (pow (cos (/ -1/2 K)) 3))
* [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 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 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (cos (/ -1/2 K)) 3)) (/ 0 (pow (cos (/ -1/2 K)) 3))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (cos (/ -1/2 K)) 3)) (/ 0 (pow (cos (/ -1/2 K)) 3))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/64 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 3))))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log U))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (pow U 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))) (* 0 (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))))) 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 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 (+ (* -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 1))) 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 (+ (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) (* (/ 1/4 (cos (/ -1/2 (/ 1 (- K))))) (* (pow (/ 1 (- U)) -2) (* 1 (/ 1 (- J)))))) into (- (+ (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) (* 2 (* (cos (* 1/2 K)) J))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (/ (pow U 2) (pow J 2))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (/ (pow U 2) (pow J 2))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in 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 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]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (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 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ U (cos (* 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ U (cos (* 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in 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 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]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (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 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ U (cos (* 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ U (cos (* 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (/ (- (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ (* 1 (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1))) into (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]taylor:  Taking taylor expansion of (* 1/8 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 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 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log (cos (* 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (log (cos (* 1/2 K)))) into (* 2 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (cos (* 1/2 K)) 2)) into (/ 1 (pow (cos (* 1/2 K)) 2))
* [misc]backup-simplify:  Simplify (* 1/8 (/ 1 (pow (cos (* 1/2 K)) 2))) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
* [misc]taylor:  Taking taylor expansion of (/ 1/8 (pow (cos (* 1/2 K)) 2)) in K
* [misc]taylor:  Taking taylor expansion of 1/8 in K
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 K))))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (log (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 (log (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 (log 1) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8
* [misc]backup-simplify:  Simplify (+ (* 2 -1/8) (+ (* 0 0) (* 0 0))) into -1/4
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (/ 1/8 1) into 1/8
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [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]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]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 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [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]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]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 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) (* 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in J
* [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 (+ (* 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 0) (* 0 (/ 1 (pow (cos (* 1/2 K)) 2)))) 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 (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) 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]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]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/128 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
* [misc]backup-simplify:  Simplify (/ (- (/ -1/128 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) (pow (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -3/512 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) 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]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]backup-simplify:  Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/128 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
* [misc]backup-simplify:  Simplify (/ (- (/ -1/128 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) (pow (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -3/512 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
* [misc]backup-simplify:  Simplify (+ (* 1 (/ -3/512 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) (+ (* 0 0) (+ (* (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* (/ -3/512 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) 1))))) into (- (* 1/128 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/128 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/128 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in J
* [misc]taylor:  Taking taylor expansion of 1/128 in J
* [misc]backup-simplify:  Simplify 1/128 into 1/128
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in J
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (cos (* 1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 4 (log (cos (* 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 4 in J
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 4 (log (cos (* 1/2 K)))) into (* 4 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 4)
* [misc]taylor:  Taking taylor expansion of (pow J 4) in J
* [misc]backup-simplify:  Simplify (* (pow (cos (* 1/2 K)) 4) 1) into (pow (cos (* 1/2 K)) 4)
* [misc]backup-simplify:  Simplify (/ 1 (pow (cos (* 1/2 K)) 4)) into (/ 1 (pow (cos (* 1/2 K)) 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 (+ (* 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 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 (+ (* 1/2 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 4) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 4) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (cos (* 1/2 K)) 4)) (/ 0 (pow (cos (* 1/2 K)) 4))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (cos (* 1/2 K)) 4)) (/ 0 (pow (cos (* 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 4))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/128 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (* 1/2 K)) 4))))) 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 (* 1/8 (pow (* 1 (* (/ 1 J) U)) 2))) into (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (* 0 0) 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 (* +nan.0 (/ J (cos (/ 1/2 K))))) (* (* +nan.0 (/ J (cos (/ 1/2 K)))) 0)) 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 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (/ J (cos (/ 1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (/ J (cos (/ 1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* (* +nan.0 (/ J (cos (/ 1/2 K)))) (* +nan.0 (/ J (cos (/ 1/2 K))))) (* (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0))) into (- (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of +nan.0 in J
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (/ 1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log (cos (/ 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (log (cos (/ 1/2 K)))) into (* 2 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
* [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]approximate:  Taking taylor expansion of (* (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (* 0 0) 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 (* +nan.0 (/ J (cos (/ -1/2 K))))) (* (* +nan.0 (/ J (cos (/ -1/2 K)))) 0)) 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 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (/ J (cos (/ -1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (/ J (cos (/ -1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (+ (* (* +nan.0 (/ J (cos (/ -1/2 K)))) (* +nan.0 (/ J (cos (/ -1/2 K))))) (* (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 0))) into (- (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of +nan.0 in J
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (/ -1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log (cos (/ -1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (log (cos (/ -1/2 K)))) into (* 2 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
* [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]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (log1p (expm1 (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (expm1 (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (expm1 (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (expm1 (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 2 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (expm1 (log1p (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (log1p (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (log1p (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log1p (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 3 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/2))))>
* * * * [misc]progress:  [ 4 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (pow (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) 1))))>
* * * * [misc]progress:  [ 5 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (exp (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 6 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (log (exp (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (exp (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (exp (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 7 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 8 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ 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 (32 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 9 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (sqrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ 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 (36 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (fabs (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 10 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 11 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (sqrt 1) (sqrt (hypot 1 (/ (/ 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 (hypot 1 (/ (/ 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 (33 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 12 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 13 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (fabs (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* * * * [misc]progress:  [ 14 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* 1 (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* * * * [misc]progress:  [ 15 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (log1p (expm1 (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (expm1 (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (expm1 (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (expm1 (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 16 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (expm1 (log1p (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (log1p (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (log1p (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log1p (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 17 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/2) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 18 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (pow (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) 1) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 19 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (exp (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 20 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (log (exp (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (exp (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (exp (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 21 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (* (* (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 22 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (cbrt (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ 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 (32 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 23 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (* (sqrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ 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 (36 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (fabs (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 24 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (* (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 25 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (* (sqrt 1) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ 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 (hypot 1 (/ (/ 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 (33 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 26 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (* (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 27 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (fabs (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 28 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (* 1 (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 29 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (log1p (expm1 (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (expm1 (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* * [misc]simplify:  iters left: 1 (89 enodes)
* [exit]simplify:  Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 30 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (expm1 (log1p (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (log1p (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* * [misc]simplify:  iters left: 1 (89 enodes)
* [exit]simplify:  Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 31 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) 1))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (95 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 32 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) 1))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (95 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 33 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) 1))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (95 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 34 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) 1))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (95 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 35 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (pow (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) 1))>
* * * * [misc]progress:  [ 36 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (+ (+ (log (* J -2)) (log (cos (/ K 2)))) (+ (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (+ (+ (log (* J -2)) (log (cos (/ K 2)))) (+ (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (163 enodes)
* [exit]simplify:  Simplified to (fma (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) 2 (+ (log (cos (/ K 2))) (log (* -2 J))))
* [exit]simplify:  Simplified to (fma (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) 2 (+ (log (cos (/ K 2))) (log (* -2 J))))
* * * * [misc]progress:  [ 37 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (+ (+ (log (* J -2)) (log (cos (/ K 2)))) (log (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (+ (+ (log (* J -2)) (log (cos (/ K 2)))) (log (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (cos (/ K 2))) (log (* -2 J))) (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (+ (+ (log (cos (/ K 2))) (log (* -2 J))) (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 38 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (+ (log (* (* J -2) (cos (/ K 2)))) (+ (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (+ (log (* (* J -2) (cos (/ K 2)))) (+ (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (log (sqrt (hypot 1 (/ (/ 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 (55 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (fma 2 (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (log (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (fma 2 (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (log (* (* -2 J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 39 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (+ (log (* (* J -2) (cos (/ K 2)))) (log (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (+ (log (* (* J -2) (cos (/ K 2)))) (log (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ 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 (82 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (log (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (+ (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (log (* (* -2 J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 40 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (exp (log (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (log (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (157 enodes)
* * [misc]simplify:  iters left: 1 (218 enodes)
* [exit]simplify:  Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 41 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (log (exp (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (exp (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (93 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (pow (pow (exp (* -2 J)) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (pow (pow (exp (* -2 J)) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 42 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (281 enodes)
* [exit]simplify:  Simplified to (* (* (* (cos (/ K 2)) (pow (* -2 J) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 3))
* [exit]simplify:  Simplified to (* (* (* (cos (/ K 2)) (pow (* -2 J) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 3))
* * * * [misc]progress:  [ 43 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (287 enodes)
* [exit]simplify:  Simplified to (* (* (* (* (cos (/ K 2)) (pow (* -2 J) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (* (* (cos (/ K 2)) (pow (* -2 J) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 44 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (* (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (* (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (242 enodes)
* [exit]simplify:  Simplified to (* (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 3) (pow (* (* -2 J) (cos (/ K 2))) 3))
* [exit]simplify:  Simplified to (* (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 3) (pow (* (* -2 J) (cos (/ K 2))) 3))
* * * * [misc]progress:  [ 45 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (* (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (* (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (267 enodes)
* [exit]simplify:  Simplified to (* (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 3) (pow (* (* -2 J) (cos (/ K 2))) 3))
* [exit]simplify:  Simplified to (* (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 3) (pow (* (* -2 J) (cos (/ K 2))) 3))
* * * * [misc]progress:  [ 46 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (85 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (cbrt (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* * [misc]simplify:  iters left: 1 (89 enodes)
* [exit]simplify:  Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 47 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (cbrt (* (* (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ 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 (66 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (262 enodes)
* [exit]simplify:  Simplified to (pow (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) 3)
* [exit]simplify:  Simplified to (pow (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) 3)
* * * * [misc]progress:  [ 48 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (sqrt (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))) (sqrt (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (sqrt (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* * [misc]simplify:  iters left: 1 (89 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (sqrt (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* * [misc]simplify:  iters left: 1 (89 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 49 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* 1 (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* * * * [misc]progress:  [ 50 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ 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 (41 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 51 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ 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 (34 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2)))
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (cos (/ K 2)))
* * * * [misc]progress:  [ 52 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* J -2) (cos (/ K 2)))))>
* * * * [misc]progress:  [ 53 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (log1p (expm1 (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (expm1 (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (expm1 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (expm1 (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 54 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (expm1 (log1p (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (log1p (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (log1p (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (log1p (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 55 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (+ 1/2 1/2))))>
* [enter]simplify:  Simplifying (+ 1/2 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ 1/2 1/2)
* [exit]simplify:  Simplified to (+ 1/2 1/2)
* * * * [misc]progress:  [ 56 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (pow (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (+ 1 1))))>
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to 2
* [exit]simplify:  Simplified to 2
* * * * [misc]progress:  [ 57 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (pow (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) 1/2)))>
* [enter]simplify:  Simplifying (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ 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 (33 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 58 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (pow (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) 1)))>
* [enter]simplify:  Simplifying (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))
* * * * [misc]progress:  [ 59 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (pow (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) 2)))>
* * * * [misc]progress:  [ 60 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (pow (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (+ 1 1))))>
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to 2
* [exit]simplify:  Simplified to 2
* * * * [misc]progress:  [ 61 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (pow (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) 1)))>
* * * * [misc]progress:  [ 62 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (exp (+ (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (log (sqrt (hypot 1 (/ (/ 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 (30 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (+ (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (log (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 63 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (exp (log (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (log (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ 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 (32 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* [exit]simplify:  Simplified to (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 64 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (log (exp (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (exp (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ 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 (31 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (exp (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (exp (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 65 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (cbrt (* (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 3)
* [exit]simplify:  Simplified to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 3)
* * * * [misc]progress:  [ 66 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (* (cbrt (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))) (cbrt (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (cbrt (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 67 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (cbrt (* (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ 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 (39 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 3)
* [exit]simplify:  Simplified to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 3)
* * * * [misc]progress:  [ 68 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (sqrt (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ 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 (33 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 69 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (sqrt (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))))>
* [enter]simplify:  Simplifying (sqrt (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ 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 (37 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [enter]simplify:  Simplifying (sqrt (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ 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 (37 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 70 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))>
* * * * [misc]progress:  [ 71 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* 1 (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* * * * [misc]progress:  [ 72 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))) (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ 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 (34 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 73 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))) (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (fabs (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 74 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (sqrt (hypot 1 (/ (/ 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 (36 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 75 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt 1)) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt 1))
* * [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 (36 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt 1))
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt 1))
* * * * [misc]progress:  [ 76 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (sqrt (hypot 1 (/ (/ 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 (36 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 77 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) 1) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 78 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (* (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ 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 (36 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 79 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 80 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ 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 (36 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 81 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt 1) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))
* * * * [misc]progress:  [ 82 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ 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 (36 enodes)
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 83 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* 1 (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))
* * * * [misc]progress:  [ 84 / 96 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 85 / 96 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) 1)))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 86 / 96 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (/ +nan.0 (* (cos (* 1/2 K)) J)))))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (/ +nan.0 (* (cos (* 1/2 K)) J))))
* * * * [misc]progress:  [ 87 / 96 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (/ +nan.0 (* (cos (* 1/2 K)) J)))))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (/ +nan.0 (* (cos (* 1/2 K)) J))))
* * * * [misc]progress:  [ 88 / 96 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* 1 (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (* 1 (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 89 / 96 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (/ +nan.0 (* (cos (* 1/2 K)) J)) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (* (/ +nan.0 (* (cos (* 1/2 K)) J)) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 90 / 96 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (/ +nan.0 (* (cos (* 1/2 K)) J)) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (* (/ +nan.0 (* (cos (* 1/2 K)) J)) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 91 / 96 ] 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:  [ 92 / 96 ] simplifiying candidate #<alt-event (λ (J K U) (- (+ (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) (* 2 (* (cos (* 1/2 K)) J)))))>
* [enter]simplify:  Simplifying (- (+ (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) (* 2 (* (cos (* 1/2 K)) J))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (243 enodes)
* * [misc]simplify:  iters left: 1 (342 enodes)
* [exit]simplify:  Simplified to (fma (/ (* U U) (cos (* K 1/2))) (- (/ 1/4 J)) (* (cos (* K 1/2)) (+ (- J) (- J))))
* * * * [misc]progress:  [ 93 / 96 ] simplifiying candidate #<alt-event (λ (J K U) (- (+ (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) (* 2 (* (cos (* 1/2 K)) J)))))>
* [enter]simplify:  Simplifying (- (+ (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) (* 2 (* (cos (* 1/2 K)) J))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (243 enodes)
* * [misc]simplify:  iters left: 1 (342 enodes)
* [exit]simplify:  Simplified to (fma (/ (* U U) (cos (* K 1/2))) (- (/ 1/4 J)) (* (cos (* K 1/2)) (+ (- J) (- J))))
* * * * [misc]progress:  [ 94 / 96 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (160 enodes)
* * [misc]simplify:  iters left: 2 (253 enodes)
* * [misc]simplify:  iters left: 1 (456 enodes)
* [exit]simplify:  Simplified to (fma (* (* (/ U J) (/ U J)) 1/8) (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2))))
* * * * [misc]progress:  [ 95 / 96 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* J -2) (cos (/ K 2))) 0))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) 0)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 96 / 96 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* J -2) (cos (/ K 2))) 0))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) 0)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to 0
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 2 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (/ (pow U 2) (pow J 2))))))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into (* 1/3 (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) into (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in 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 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]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (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 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow 1 1)))) 2) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow 1 1)))) 2) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (* (exp 0) (+ (* (/ (pow 0 1) 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 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/24 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]taylor:  Taking taylor expansion of (/ 1/24 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/24 in J
* [misc]backup-simplify:  Simplify 1/24 into 1/24
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log (cos (* 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (log (cos (* 1/2 K)))) into (* 2 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ 1/24 (pow (cos (* 1/2 K)) 2)) into (/ 1/24 (pow (cos (* 1/2 K)) 2))
* [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 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 (+ (* 1/2 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/24 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/24 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) 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 1 into 1
* [misc]approximate:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into (pow (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 1/2 (* (cos (/ 1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) 1)) (pow 1 1)))) 2) into (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J
* [misc]taylor:  Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J
* [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]backup-simplify:  Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (- (log U)) into (- (log U))
* [misc]backup-simplify:  Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K
* [misc]taylor:  Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K
* [misc]taylor:  Taking taylor expansion of (log J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]taylor:  Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in 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 (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (- (log U)) into (- (log U))
* [misc]backup-simplify:  Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 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]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]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [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]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]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 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (cos (/ 1/2 K)) J)) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) (pow J 2)))
* [misc]taylor:  Taking taylor expansion of (* 2/3 (/ (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 2/3 in J
* [misc]backup-simplify:  Simplify 2/3 into 2/3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (/ 1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log (cos (/ 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (log (cos (/ 1/2 K)))) into (* 2 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 2)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J
* [misc]taylor:  Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J
* [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]backup-simplify:  Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (- (log U)) into (- (log U))
* [misc]backup-simplify:  Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))))
* [misc]backup-simplify:  Simplify (/ (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) 1) into (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))))
* [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]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 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]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 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 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log 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]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]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (exp (* 1/3 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) into (exp (* 1/3 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))
* [misc]approximate:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) into (pow (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 1/2 (* (cos (/ -1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) (pow 1 1)))) 2) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J
* [misc]taylor:  Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J
* [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]backup-simplify:  Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J))
* [misc]backup-simplify:  Simplify (- (log U)) into (- (log U))
* [misc]backup-simplify:  Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K
* [misc]taylor:  Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K
* [misc]taylor:  Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in 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 (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]taylor:  Taking taylor expansion of (log U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J))
* [misc]backup-simplify:  Simplify (- (log U)) into (- (log U))
* [misc]backup-simplify:  Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 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]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]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 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 (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 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)))) 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]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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]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 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (cos (/ -1/2 K)) J)) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) (pow J 2)))
* [misc]taylor:  Taking taylor expansion of (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 2/3 in J
* [misc]backup-simplify:  Simplify 2/3 into 2/3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (/ -1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log (cos (/ -1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (log (cos (/ -1/2 K)))) into (* 2 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 2)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J
* [misc]taylor:  Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J
* [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]backup-simplify:  Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J))
* [misc]backup-simplify:  Simplify (- (log U)) into (- (log U))
* [misc]backup-simplify:  Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))))
* [misc]backup-simplify:  Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))))
* [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]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 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]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 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 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log 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]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]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) into (exp (* 1/3 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2 2)
* [misc]approximate:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (/ (pow U 2) (pow J 2))))))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into (* 1/3 (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) into (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in 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 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]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (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 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow 1 1)))) 2) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow 1 1)))) 2) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (* (exp 0) (+ (* (/ (pow 0 1) 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 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/24 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]taylor:  Taking taylor expansion of (/ 1/24 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/24 in J
* [misc]backup-simplify:  Simplify 1/24 into 1/24
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log (cos (* 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (log (cos (* 1/2 K)))) into (* 2 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ 1/24 (pow (cos (* 1/2 K)) 2)) into (/ 1/24 (pow (cos (* 1/2 K)) 2))
* [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 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 (+ (* 1/2 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/24 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/24 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) 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 1 into 1
* [misc]approximate:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into (pow (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 1/2 (* (cos (/ 1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) 1)) (pow 1 1)))) 2) into (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J
* [misc]taylor:  Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J
* [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]backup-simplify:  Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (- (log U)) into (- (log U))
* [misc]backup-simplify:  Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K
* [misc]taylor:  Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K
* [misc]taylor:  Taking taylor expansion of (log J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]taylor:  Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in 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 (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (- (log U)) into (- (log U))
* [misc]backup-simplify:  Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 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]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]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [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]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]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 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (cos (/ 1/2 K)) J)) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) (pow J 2)))
* [misc]taylor:  Taking taylor expansion of (* 2/3 (/ (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 2/3 in J
* [misc]backup-simplify:  Simplify 2/3 into 2/3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (/ 1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log (cos (/ 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (log (cos (/ 1/2 K)))) into (* 2 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 2)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J
* [misc]taylor:  Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J
* [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]backup-simplify:  Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (- (log U)) into (- (log U))
* [misc]backup-simplify:  Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))))
* [misc]backup-simplify:  Simplify (/ (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) 1) into (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))))
* [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]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 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]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 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 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log 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]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]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (exp (* 1/3 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) into (exp (* 1/3 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))
* [misc]approximate:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) into (pow (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 1/2 (* (cos (/ -1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) (pow 1 1)))) 2) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J
* [misc]taylor:  Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J
* [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]backup-simplify:  Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J))
* [misc]backup-simplify:  Simplify (- (log U)) into (- (log U))
* [misc]backup-simplify:  Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K
* [misc]taylor:  Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K
* [misc]taylor:  Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in 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 (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]taylor:  Taking taylor expansion of (log U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J))
* [misc]backup-simplify:  Simplify (- (log U)) into (- (log U))
* [misc]backup-simplify:  Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 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]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]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 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 (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 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)))) 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]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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]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 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (cos (/ -1/2 K)) J)) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) (pow J 2)))
* [misc]taylor:  Taking taylor expansion of (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 2/3 in J
* [misc]backup-simplify:  Simplify 2/3 into 2/3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (/ -1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log (cos (/ -1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (log (cos (/ -1/2 K)))) into (* 2 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 2)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J
* [misc]taylor:  Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J
* [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]backup-simplify:  Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J))
* [misc]backup-simplify:  Simplify (- (log U)) into (- (log U))
* [misc]backup-simplify:  Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))))
* [misc]backup-simplify:  Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))))
* [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]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 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]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 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 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log 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]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]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) into (exp (* 1/3 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 2 1)
* [misc]approximate:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (/ (pow U 2) (pow J 2))))))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into (* 1/3 (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) into (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in 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 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]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (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 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow 1 1)))) 2) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow 1 1)))) 2) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (* (exp 0) (+ (* (/ (pow 0 1) 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 0 into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/24 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]taylor:  Taking taylor expansion of (/ 1/24 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 1/24 in J
* [misc]backup-simplify:  Simplify 1/24 into 1/24
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log (cos (* 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (* 1/2 K))) into (log (cos (* 1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (log (cos (* 1/2 K)))) into (* 2 (log (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 2)
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
* [misc]backup-simplify:  Simplify (/ 1/24 (pow (cos (* 1/2 K)) 2)) into (/ 1/24 (pow (cos (* 1/2 K)) 2))
* [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 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 (+ (* 1/2 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/24 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/24 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) 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 1 into 1
* [misc]approximate:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into (pow (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 1/2 (* (cos (/ 1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) 1)) (pow 1 1)))) 2) into (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J
* [misc]taylor:  Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J
* [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]backup-simplify:  Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (- (log U)) into (- (log U))
* [misc]backup-simplify:  Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K
* [misc]taylor:  Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K
* [misc]taylor:  Taking taylor expansion of (log J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]taylor:  Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in 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 (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (- (log U)) into (- (log U))
* [misc]backup-simplify:  Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 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]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]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [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]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]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 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (cos (/ 1/2 K)) J)) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) (pow J 2)))
* [misc]taylor:  Taking taylor expansion of (* 2/3 (/ (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 2/3 in J
* [misc]backup-simplify:  Simplify 2/3 into 2/3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (/ 1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log (cos (/ 1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (log (cos (/ 1/2 K)))) into (* 2 (log (cos (/ 1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 2)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J
* [misc]taylor:  Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J
* [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]backup-simplify:  Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (- (log U)) into (- (log U))
* [misc]backup-simplify:  Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))))
* [misc]backup-simplify:  Simplify (/ (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) 1) into (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))))
* [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]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 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]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (cos (/ 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 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 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ 1/2 K)) 2) (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log 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]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]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (exp (* 1/3 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) into (exp (* 1/3 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))
* [misc]approximate:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in (U J K) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) into (pow (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 1/2 (* (cos (/ -1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) (pow 1 1)))) 2) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J
* [misc]taylor:  Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J
* [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]backup-simplify:  Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J))
* [misc]backup-simplify:  Simplify (- (log U)) into (- (log U))
* [misc]backup-simplify:  Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K
* [misc]taylor:  Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K
* [misc]taylor:  Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in 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 (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]taylor:  Taking taylor expansion of (log U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J))
* [misc]backup-simplify:  Simplify (- (log U)) into (- (log U))
* [misc]backup-simplify:  Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 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]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]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 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 (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 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)))) 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]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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]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 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (cos (/ -1/2 K)) J)) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) (pow J 2)))
* [misc]taylor:  Taking taylor expansion of (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) (pow J 2))) in J
* [misc]taylor:  Taking taylor expansion of 2/3 in J
* [misc]backup-simplify:  Simplify 2/3 into 2/3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) (pow J 2)) in J
* [misc]taylor:  Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) in J
* [misc]taylor:  Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (cos (/ -1/2 K))))) in J
* [misc]taylor:  Taking taylor expansion of (* 2 (log (cos (/ -1/2 K)))) in J
* [misc]taylor:  Taking taylor expansion of 2 in J
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (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 (* (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 (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
* [misc]backup-simplify:  Simplify (* 2 (log (cos (/ -1/2 K)))) into (* 2 (log (cos (/ -1/2 K))))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 2)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J
* [misc]taylor:  Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J
* [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]backup-simplify:  Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K))))
* [misc]taylor:  Taking taylor expansion of (log U) in J
* [misc]taylor:  Taking taylor expansion of U in J
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J))
* [misc]backup-simplify:  Simplify (- (log U)) into (- (log U))
* [misc]backup-simplify:  Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))
* [misc]taylor:  Taking taylor expansion of (pow J 2) in J
* [misc]backup-simplify:  Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))))
* [misc]backup-simplify:  Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))))
* [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]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 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]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (cos (/ -1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 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 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log 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]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]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (exp (* 1/3 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) into (exp (* 1/3 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in U
* [misc]taylor:  Taking taylor expansion of (* J -2) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow 1 1)))) 2) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in U
* [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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow 1 1)))) 2) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in K
* [misc]taylor:  Taking taylor expansion of (* J -2) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]taylor:  Taking taylor expansion of -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (/ (pow U 2) (pow J 2))))))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into (* 1/3 (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) into (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2)))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
* [misc]backup-simplify:  Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (/ (pow U 2) (pow J 2))))))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into (* 1/3 (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) into (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* J -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in 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 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]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (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 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in 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 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]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (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 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))
* [misc]taylor:  Taking taylor expansion of (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in J
* [misc]taylor:  Taking taylor expansion of (* J -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in 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 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]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (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 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) in 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 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]backup-simplify:  Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (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 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))
* [misc]backup-simplify:  Simplify (* 0 -2) 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 (* (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (pow (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 2)
* [misc]backup-simplify:  Simplify (* 0 (pow (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 2)) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 0) (* 0 (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log 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 0) (* 1 -2)) 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)))) (pow (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 2))) into (- (* 2 (* (cos (* 1/2 K)) (pow (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (* (cos (* 1/2 K)) (pow (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 2)))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) (pow (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 2))) 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)) (pow (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 2)) 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 (pow (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 2) in K
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (log (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log 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 (log (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) in K
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) in K
* [misc]taylor:  Taking taylor expansion of (log (* 1/2 (/ U (cos (* 1/2 K))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ U (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 (/ U (cos (* 1/2 K))) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [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 (/ U 1) into U
* [misc]backup-simplify:  Simplify (* 1/2 U) into (* 1/2 U)
* [misc]backup-simplify:  Simplify (log (* 1/2 U)) into (log (* 1/2 U))
* [misc]taylor:  Taking taylor expansion of (log J) in K
* [misc]taylor:  Taking taylor expansion of J in K
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]backup-simplify:  Simplify (- (log J)) into (- (log J))
* [misc]backup-simplify:  Simplify (+ (log (* 1/2 U)) (- (log J))) into (- (log (* 1/2 U)) (log J))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 1/2 U)) (log J))) into (* 1/3 (- (log (* 1/2 U)) (log J)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 1/2 U)) (log J)))) into (exp (* 1/3 (- (log (* 1/2 U)) (log J))))
* [misc]backup-simplify:  Simplify (log (exp (* 1/3 (- (log (* 1/2 U)) (log J))))) into (* 1/3 (- (log (* 1/2 U)) (log J)))
* [misc]backup-simplify:  Simplify (* 2 (* 1/3 (- (log (* 1/2 U)) (log J)))) into (* 2/3 (- (log (* 1/2 U)) (log J)))
* [misc]backup-simplify:  Simplify (exp (* 2/3 (- (log (* 1/2 U)) (log J)))) into (exp (* 2/3 (- (log (* 1/2 U)) (log J))))
* [misc]backup-simplify:  Simplify (* 1 (exp (* 2/3 (- (log (* 1/2 U)) (log J))))) into (exp (* 2/3 (- (log (* 1/2 U)) (log J))))
* [misc]backup-simplify:  Simplify (* 2 (exp (* 2/3 (- (log (* 1/2 U)) (log J))))) into (* 2 (exp (* 2/3 (- (log (* 1/2 U)) (log J)))))
* [misc]backup-simplify:  Simplify (- (* 2 (exp (* 2/3 (- (log (* 1/2 U)) (log J)))))) into (- (* 2 (exp (* 2/3 (- (log (* 1/2 U)) (log J))))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (exp (* 2/3 (- (log (* 1/2 U)) (log J)))))) in U
* [misc]taylor:  Taking taylor expansion of (* 2 (exp (* 2/3 (- (log (* 1/2 U)) (log 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 (exp (* 2/3 (- (log (* 1/2 U)) (log J)))) in U
* [misc]taylor:  Taking taylor expansion of (* 2/3 (- (log (* 1/2 U)) (log J))) in U
* [misc]taylor:  Taking taylor expansion of 2/3 in U
* [misc]backup-simplify:  Simplify 2/3 into 2/3
* [misc]taylor:  Taking taylor expansion of (- (log (* 1/2 U)) (log J)) in U
* [misc]taylor:  Taking taylor expansion of (log (* 1/2 U)) in U
* [misc]taylor:  Taking taylor expansion of (* 1/2 U) 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 U in U
* [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 (log 1/2) into (log 1/2)
* [misc]taylor:  Taking taylor expansion of (log J) in U
* [misc]taylor:  Taking taylor expansion of J in U
* [misc]backup-simplify:  Simplify J into J
* [misc]backup-simplify:  Simplify (log J) into (log J)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log U)) (log 1/2)) into (+ (log U) (log 1/2))
* [misc]backup-simplify:  Simplify (- (log J)) into (- (log J))
* [misc]backup-simplify:  Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J))
* [misc]backup-simplify:  Simplify (* 2/3 (- (+ (log U) (log 1/2)) (log J))) into (* 2/3 (- (+ (log U) (log 1/2)) (log J)))
* [misc]backup-simplify:  Simplify (exp (* 2/3 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2/3 (- (+ (log U) (log 1/2)) (log J))))
* [misc]backup-simplify:  Simplify (* 2 (exp (* 2/3 (- (+ (log U) (log 1/2)) (log J))))) into (* 2 (exp (* 2/3 (- (+ (log U) (log 1/2)) (log J)))))
* [misc]backup-simplify:  Simplify (- (* 2 (exp (* 2/3 (- (+ (log U) (log 1/2)) (log J)))))) into (- (* 2 (exp (* 2/3 (- (+ (log U) (log 1/2)) (log J))))))
* [misc]backup-simplify:  Simplify (- (* 2 (exp (* 2/3 (- (+ (log U) (log 1/2)) (log J)))))) into (- (* 2 (exp (* 2/3 (- (+ (log U) (log 1/2)) (log J))))))
* [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 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)) (* 0 (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)) (* 0 (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (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 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (cos (* 1/2 K)) U)) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 2) into (* 2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (* 2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (* 2/3 (/ (pow (cos (* 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) 1) 1)))) into (* 2/3 (/ (* (pow (cos (* 1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) (pow U 2)))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)) (* 0 (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)) (* 0 (/ 0 2)))) 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 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (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 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U)
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (cos (* 1/2 K)) U)) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 2) into (* 2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (* 2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (* 2/3 (/ (pow (cos (* 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) 1) 1)))) into (* 2/3 (/ (* (pow (cos (* 1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (* 2/3 (/ (* (pow (cos (* 1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) (pow U 2)))) (+ (* 0 0) (* (* 2/3 (/ (* (pow (cos (* 1/2 K)) 2) (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) (pow U 2))) (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))) into (* 4/3 (/ (* (pow (cos (* 1/2 K)) 2) (pow (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 2)) (pow U 2)))
* [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 0) (+ (* 1 0) (* 0 -2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* -2 0) (* 0 (cos (* 1/2 K))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (* 4/3 (/ (* (pow (cos (* 1/2 K)) 2) (pow (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 2)) (pow U 2)))) (+ (* (- (* 2 (cos (* 1/2 K)))) 0) (* 0 (pow (exp (* 1/3 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 2)))) 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 (- (/ 0 1) (+ (* U (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 U)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 U) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 U)) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/3 (- (log (* 1/2 U)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (* 1/2 U)) (log J)))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* 1/3 (- (log (* 1/2 U)) (log J))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (- (log (* 1/2 U)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (exp (* 2/3 (- (log (* 1/2 U)) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (exp (* 2/3 (- (log (* 1/2 U)) (log J)))))) 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 (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2/3 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2/3 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (exp (* 2/3 (- (+ (log U) (log 1/2)) (log J)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (- (* 2 (exp (* 2/3 (- (+ (log U) (log 1/2)) (log J)))))) (* 1 (* 1 J))) into (* -2 (* (exp (* 2/3 (- (+ (log U) (log 1/2)) (log J)))) J))
* [misc]approximate:  Taking taylor expansion of (* (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) (* (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) (* (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* (/ 1 J) -2) 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 -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (* (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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]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]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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) (* (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* (/ 1 J) -2) 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 -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (* (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into (pow (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 U) (/ 0 U)))) 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 U)) (/ 0 (* 2 (/ 1 J)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into (pow (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) (* (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* (/ 1 J) -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (* (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 1/2 (* (cos (/ 1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) 1)) (pow 1 1)))) 2) into (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 1/2 (* (cos (/ 1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) 1)) (pow 1 1)))) 2) into (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) (* (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* (/ 1 J) -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (* (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 1/2 (* (cos (/ 1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) 1)) (pow 1 1)))) 2) into (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2))) (/ (/ (/ 1 U) (+ (/ 1 J) (/ 1 J))) (cos (/ (/ 1 K) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 1/2 (* (cos (/ 1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) 1)) (pow 1 1)))) 2) into (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (* 1 -2) 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 1) into 1
* [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 (* (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 (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 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 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 -2)) 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 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 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 (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/24 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) 1) 1)))) into (/ 1/24 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/24 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) 1) 1)))) into (/ 1/24 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* 1 (/ 1/24 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* (/ 1/24 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))) 1))) into (* 1/12 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))
* [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 (+ (* 1 0) (+ (* 0 0) (* 0 -2))) 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))) (* 1/12 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1/6 (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/6 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/6 (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))) in K
* [misc]taylor:  Taking taylor expansion of 1/6 in K
* [misc]backup-simplify:  Simplify 1/6 into 1/6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (cos (/ 1/2 K)) (pow U 2))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1/2 K)) (pow U 2)) 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 (pow U 2) in K
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]backup-simplify:  Simplify (* (cos (/ 1/2 K)) (pow U 2)) into (* (cos (/ 1/2 K)) (pow U 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (cos (/ 1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))
* [misc]backup-simplify:  Simplify (* 1/6 (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))) into (/ 1/6 (* (cos (/ 1/2 K)) (pow U 2)))
* [misc]backup-simplify:  Simplify (- (/ 1/6 (* (cos (/ 1/2 K)) (pow U 2)))) into (- (* 1/6 (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/6 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/6 (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))) in U
* [misc]taylor:  Taking taylor expansion of 1/6 in U
* [misc]backup-simplify:  Simplify 1/6 into 1/6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (cos (/ 1/2 K)) (pow U 2))) in U
* [misc]taylor:  Taking taylor expansion of (* (cos (/ 1/2 K)) (pow U 2)) 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 (pow U 2) in U
* [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 (/ 1 (cos (/ 1/2 K))) into (/ 1 (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 (+ (* -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 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) 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 (+ (* 1/6 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]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 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 (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J))
* [misc]approximate:  Taking taylor expansion of (* (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (* (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in (J K U) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (* (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in U
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- J)) -2) 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 -2 in U
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (* (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in U
* [misc]taylor:  Taking taylor expansion of 1/3 in U
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in U
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in U
* [misc]taylor:  Taking taylor expansion of (* 1 1) in U
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in U
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in 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]backup-simplify:  Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
* [misc]backup-simplify:  Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 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 (- 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]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]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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
* [misc]backup-simplify:  Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))
* [misc]backup-simplify:  Simplify (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 1/3 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (* (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in K
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- J)) -2) 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 -2 in K
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (* (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) into (pow (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) 1/3)
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in K
* [misc]taylor:  Taking taylor expansion of 1/3 in K
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in K
* [misc]taylor:  Taking taylor expansion of (* 1 1) in K
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in K
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in K
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)
* [misc]backup-simplify:  Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (- 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 U)) (/ 0 (- (* 2 (/ 1 J))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) 0) (* 0 (* 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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0
* [misc]backup-simplify:  Simplify (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))
* [misc]backup-simplify:  Simplify (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))
* [misc]backup-simplify:  Simplify (exp (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) into (pow (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) 1/3)
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (* (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- J)) -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (* (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 1/2 (* (cos (/ -1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) (pow 1 1)))) 2) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 1/2 (* (cos (/ -1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) (pow 1 1)))) 2) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (* (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in J
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- J)) -2) 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 -2 in J
* [misc]backup-simplify:  Simplify -2 into -2
* [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 (* (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 1/2 (* (cos (/ -1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) (pow 1 1)))) 2) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]taylor:  Taking taylor expansion of (cbrt (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Rewrote expression to (pow (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) 1/3)
* [misc]taylor:  Taking taylor expansion of (exp (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1/3 (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))))) in J
* [misc]taylor:  Taking taylor expansion of 1/3 in J
* [misc]backup-simplify:  Simplify 1/3 into 1/3
* [misc]taylor:  Taking taylor expansion of (log (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (hypot 1 (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [misc]taylor:  Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))))) in J
* [misc]taylor:  Taking taylor expansion of (* 1 1) in J
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in J
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ 1 (- U)) (+ (/ 1 (- J)) (/ 1 (- J)))) (cos (/ (/ 1 (- K)) 2)))) in J
* [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 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]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1))) into 0
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (* 1/3 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/3 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 1/2 (* (cos (/ -1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) (pow 1 1)))) 2) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* 1/3 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (* -1 -2) 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 1) into 1
* [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 (* (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 (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -2)) 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 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 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 (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/24 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1)))) into (/ 1/24 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/24 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1)))) into (/ 1/24 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
* [misc]backup-simplify:  Simplify (+ (* 1 (/ 1/24 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* (/ 1/24 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1))) into (* 1/12 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
* [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 (+ (* -1 0) (+ (* 0 0) (* 0 -2))) 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))) (* 1/12 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) (+ (* 0 0) (* 0 1))) into (* 1/6 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))
* [misc]taylor:  Taking taylor expansion of (* 1/6 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K
* [misc]taylor:  Taking taylor expansion of 1/6 in K
* [misc]backup-simplify:  Simplify 1/6 into 1/6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) 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 (pow U 2) in K
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log U))) in K
* [misc]taylor:  Taking taylor expansion of (* 2 (log U)) in K
* [misc]taylor:  Taking taylor expansion of 2 in K
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log U) in K
* [misc]taylor:  Taking taylor expansion of U in K
* [misc]backup-simplify:  Simplify U into U
* [misc]backup-simplify:  Simplify (log U) into (log U)
* [misc]backup-simplify:  Simplify (* 2 (log U)) into (* 2 (log U))
* [misc]backup-simplify:  Simplify (exp (* 2 (log U))) into (pow U 2)
* [misc]backup-simplify:  Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))
* [misc]backup-simplify:  Simplify (* 1/6 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/6 (* (cos (/ -1/2 K)) (pow U 2)))
* [misc]taylor:  Taking taylor expansion of (/ 1/6 (* (cos (/ -1/2 K)) (pow U 2))) in U
* [misc]taylor:  Taking taylor expansion of 1/6 in U
* [misc]backup-simplify:  Simplify 1/6 into 1/6
* [misc]taylor:  Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) 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 (pow U 2) in U
* [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 (/ 1/6 (cos (/ -1/2 K))) into (/ 1/6 (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 (+ (* -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 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/6 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/6 (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]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 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 (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (log1p (expm1 (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (expm1 (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (expm1 (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (expm1 (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 2 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (expm1 (log1p (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (log1p (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (log1p (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log1p (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 3 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/3)))>
* * * * [misc]progress:  [ 4 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (pow (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) 1)))>
* * * * [misc]progress:  [ 5 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (exp (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 6 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (log (exp (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (exp (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (exp (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (exp (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 7 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (cbrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (cbrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 8 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 9 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (cbrt 1) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cbrt 1)
* [exit]simplify:  Simplified to (cbrt 1)
* [enter]simplify:  Simplifying (cbrt (hypot 1 (/ (/ 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 (33 enodes)
* [exit]simplify:  Simplified to (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 10 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (* (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 11 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (* (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (* (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (hypot 1 (/ (/ 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 (31 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))
* * * * [misc]progress:  [ 12 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 13 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (* 1 (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))>
* * * * [misc]progress:  [ 14 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (log1p (expm1 (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (expm1 (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (expm1 (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (expm1 (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 15 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (expm1 (log1p (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (log1p (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (log1p (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log1p (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 16 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/3))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* * * * [misc]progress:  [ 17 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (pow (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) 1))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* * * * [misc]progress:  [ 18 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (exp (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 19 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (log (exp (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (exp (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (exp (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (exp (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 20 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (cbrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (cbrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 21 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 22 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (cbrt 1) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cbrt 1)
* [exit]simplify:  Simplified to (cbrt 1)
* [enter]simplify:  Simplifying (cbrt (hypot 1 (/ (/ 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 (33 enodes)
* [exit]simplify:  Simplified to (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 23 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 24 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (* (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (hypot 1 (/ (/ 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 (31 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))
* * * * [misc]progress:  [ 25 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 26 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* 1 (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* * * * [misc]progress:  [ 27 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (log1p (expm1 (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (expm1 (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (expm1 (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (expm1 (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 28 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (expm1 (log1p (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (log1p (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (log1p (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log1p (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 29 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (pow (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) 1/3) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* * * * [misc]progress:  [ 30 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (pow (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) 1) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* * * * [misc]progress:  [ 31 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (exp (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 32 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (log (exp (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (exp (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (exp (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (exp (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 33 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (* (cbrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (cbrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (cbrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 34 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (* (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 35 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (* (cbrt 1) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (cbrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (cbrt 1)
* [exit]simplify:  Simplified to (cbrt 1)
* [enter]simplify:  Simplifying (cbrt (hypot 1 (/ (/ 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 (33 enodes)
* [exit]simplify:  Simplified to (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* * * * [misc]progress:  [ 36 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (* (* (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [enter]simplify:  Simplifying (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (cbrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 37 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (* (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (hypot 1 (/ (/ 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 (31 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))
* [exit]simplify:  Simplified to (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))
* * * * [misc]progress:  [ 38 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (* (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [enter]simplify:  Simplifying (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (sqrt (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 39 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (* 1 (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* * * * [misc]progress:  [ 40 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (log1p (expm1 (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (expm1 (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (expm1 (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* [exit]simplify:  Simplified to (expm1 (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 41 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (expm1 (log1p (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (log1p (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (log1p (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* [exit]simplify:  Simplified to (log1p (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 42 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (pow (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) 1) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (99 enodes)
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 43 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (pow (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) 1) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (99 enodes)
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 44 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (pow (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) 1) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (99 enodes)
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 45 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (pow (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) 1) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (99 enodes)
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 46 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (pow (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) 1) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* * * * [misc]progress:  [ 47 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (exp (+ (+ (log (* J -2)) (log (cos (/ K 2)))) (+ (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (+ (+ (log (* J -2)) (log (cos (/ K 2)))) (+ (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (163 enodes)
* [exit]simplify:  Simplified to (fma (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) 2 (+ (log (cos (/ K 2))) (log (* -2 J))))
* [exit]simplify:  Simplified to (fma (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) 2 (+ (log (cos (/ K 2))) (log (* -2 J))))
* * * * [misc]progress:  [ 48 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (exp (+ (+ (log (* J -2)) (log (cos (/ K 2)))) (log (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (+ (+ (log (* J -2)) (log (cos (/ K 2)))) (log (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (fma 2 (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (+ (log (cos (/ K 2))) (log (* -2 J))))
* [exit]simplify:  Simplified to (fma 2 (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (+ (log (cos (/ K 2))) (log (* -2 J))))
* * * * [misc]progress:  [ 49 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (exp (+ (log (* (* J -2) (cos (/ K 2)))) (+ (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (+ (log (* (* J -2) (cos (/ K 2)))) (+ (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (log (cbrt (hypot 1 (/ (/ 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 (55 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (fma 2 (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (log (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (fma 2 (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (log (* (* -2 J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 50 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (exp (+ (log (* (* J -2) (cos (/ K 2)))) (log (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (+ (log (* (* J -2) (cos (/ K 2)))) (log (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ 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 (55 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (fma 2 (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (log (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (fma 2 (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (log (* (* -2 J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 51 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (exp (log (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (log (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (216 enodes)
* [exit]simplify:  Simplified to (fma (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) 2 (log (* (* -2 J) (cos (/ K 2)))))
* [exit]simplify:  Simplified to (fma (log (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) 2 (log (* (* -2 J) (cos (/ K 2)))))
* * * * [misc]progress:  [ 52 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (log (exp (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (exp (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (97 enodes)
* [exit]simplify:  Simplified to (pow (pow (exp (* -2 J)) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [exit]simplify:  Simplified to (pow (pow (exp (* -2 J)) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 53 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cbrt (* (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ 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 (68 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (349 enodes)
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (pow (* -2 J) 3))))
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (pow (* -2 J) 3))))
* * * * [misc]progress:  [ 54 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cbrt (* (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* * [misc]simplify:  iters left: 2 (240 enodes)
* [exit]simplify:  Simplified to (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (pow (* -2 J) 3))) (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (pow (* -2 J) 3))) (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 55 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cbrt (* (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (372 enodes)
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 56 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cbrt (* (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (* (* (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (* (* (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (254 enodes)
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (pow (* (* -2 J) (cos (/ K 2))) 3))
* [exit]simplify:  Simplified to (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (pow (* (* -2 J) (cos (/ K 2))) 3))
* * * * [misc]progress:  [ 57 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))
* [exit]simplify:  Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))
* [enter]simplify:  Simplifying (cbrt (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (cbrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* [exit]simplify:  Simplified to (cbrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 58 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (cbrt (* (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))) (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))) (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ 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 (65 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (262 enodes)
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (pow (* (* -2 J) (cos (/ K 2))) 3) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (* (pow (* (* -2 J) (cos (/ K 2))) 3) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 59 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (sqrt (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))) (sqrt (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (sqrt (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (sqrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* [exit]simplify:  Simplified to (sqrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* [enter]simplify:  Simplifying (sqrt (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (sqrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* [exit]simplify:  Simplified to (sqrt (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* * * * [misc]progress:  [ 60 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* 1 (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* * * * [misc]progress:  [ 61 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (* (* J -2) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* J -2) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ 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 (41 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [exit]simplify:  Simplified to (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 62 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* J -2) (* (cos (/ K 2)) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (cos (/ K 2)) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ 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 (33 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cos (/ K 2)))
* [exit]simplify:  Simplified to (* (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cos (/ K 2)))
* * * * [misc]progress:  [ 63 / 75 ] simplifiying candidate #<alt-delta (λ (J K U) (* (* (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* J -2) (cos (/ K 2)))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* * * * [misc]progress:  [ 64 / 75 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) 1))>
* [enter]simplify:  Simplifying (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) 1)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* * [misc]simplify:  iters left: 1 (89 enodes)
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 65 / 75 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (exp (* 1/3 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))))>
* [enter]simplify:  Simplifying (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (exp (* 1/3 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (190 enodes)
* * [misc]simplify:  iters left: 2 (319 enodes)
* [exit]simplify:  Simplified to (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (exp (fma (- (- (log 1/2) (- (log U))) (log (cos (* 1/2 K)))) 1/3 (* (- 1/3) (log J))))))
* * * * [misc]progress:  [ 66 / 75 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (exp (* 1/3 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))))>
* [enter]simplify:  Simplifying (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (exp (* 1/3 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (185 enodes)
* * [misc]simplify:  iters left: 2 (311 enodes)
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (exp (fma (- (- (log 1/2) (log (/ -1 U))) (log (cos (* K 1/2)))) 1/3 (* 1/3 (log (/ -1 J)))))))
* * * * [misc]progress:  [ 67 / 75 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) 1)) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) 1)) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (77 enodes)
* [exit]simplify:  Simplified to (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * * * [misc]progress:  [ 68 / 75 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (exp (* 1/3 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (exp (* 1/3 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (254 enodes)
* * [misc]simplify:  iters left: 1 (391 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (/ (/ 1/2 (cos (* K 1/2))) (/ (/ 1 U) (/ 1 J)))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 69 / 75 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (exp (* 1/3 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (exp (* 1/3 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (267 enodes)
* * [misc]simplify:  iters left: 1 (480 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (/ (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 U) (/ -1 J))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 70 / 75 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* 1 (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* J -2) (cos (/ K 2))) (* 1 (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (18 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 (69 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) J) (* (* -2 (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 71 / 75 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (exp (* 1/3 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* J -2) (cos (/ K 2))) (* (exp (* 1/3 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (279 enodes)
* * [misc]simplify:  iters left: 1 (466 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (/ (/ 1/2 (cos (* 1/2 K))) (/ (/ 1 U) (/ 1 J))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 72 / 75 ] simplifiying candidate #<alt-event (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (exp (* 1/3 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* (* (* J -2) (cos (/ K 2))) (* (exp (* 1/3 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (181 enodes)
* * [misc]simplify:  iters left: 2 (271 enodes)
* * [misc]simplify:  iters left: 1 (492 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (/ (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 U) (/ -1 J)))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* * * * [misc]progress:  [ 73 / 75 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 (* (exp (* 2/3 (- (+ (log U) (log 1/2)) (log J)))) J)) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* -2 (* (exp (* 2/3 (- (+ (log U) (log 1/2)) (log J)))) J)) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (173 enodes)
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (pow (* (/ 1/2 J) U) 2/3) (* J -2)))
* * * * [misc]progress:  [ 74 / 75 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 (* (cos (* 1/2 K)) J)) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* -2 (* (cos (* 1/2 K)) J)) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* J -2) (cos (* K 1/2))))
* * * * [misc]progress:  [ 75 / 75 ] simplifiying candidate #<alt-event (λ (J K U) (* (* -2 (* (cos (* 1/2 K)) J)) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))>
* [enter]simplify:  Simplifying (* (* -2 (* (cos (* 1/2 K)) J)) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* J -2) (cos (* K 1/2))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt-delta (λ (J K U) (* (* (cbrt (/ (/ 1/2 (cos (* K 1/2))) (/ (/ 1 U) (/ 1 J)))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))> #<alt-event (λ (J K U) (- (+ (* 1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) (* 2 (* (cos (* 1/2 K)) J)))))> #<alt-delta (λ (J K U) (* (sqrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))> #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))> #<alt-delta (λ (J K U) (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))> #<alt-delta (λ (J K U) (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))> #<alt-delta (λ (J K U) (/ (* (* -2 (* U 1/2)) (cos (/ K 2))) (/ (cos (* K 1/2)) 1)))> #<alt-delta (λ (J K U) (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))> #<alt-delta (λ (J K U) (* (* (* (* J -2) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))> #<alt-delta (λ (J K U) (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))> #<alt-delta (λ (J K U) (* (* J -2) (cbrt (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (pow (cos (/ K 2)) 3)) (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))> #<alt-delta (λ (J K U) (* (/ (* 1/2 U) (cos (* 1/2 K))) (/ (cos (/ K 2)) (/ 1 -2))))> #<alt-delta (λ (J K U) (* (* J -2) (log (exp (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))))>)
* [misc]regimes:  searching between +inf.0 and 1.4013729956534038e+308 on (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* [misc]regimes:  searching between +inf.0 and +inf.0 on (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
* [misc]regimes:  searching between -1.2285641366813692e-251 and -2.0795396664039046e-247 on J
* [misc]regimes:  searching between 1.9139624985945553e-289 and 2.4770196354326577e-297 on J
* [misc]regimes:  searching between -5.5011663778316884e+194 and -8.417986766231593e+195 on U
* [misc]regimes:  searching between -1.3418557482542758e+306 and -inf.0 on (* (* (cbrt (/ (/ 1/2 (cos (* K 1/2))) (/ (/ 1 U) (/ 1 J)))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [misc]regimes:  searching between 2.3123936852375718e+272 and 7.566089222044423e+261 on (* (* (cbrt (/ (/ 1/2 (cos (* K 1/2))) (/ (/ 1 U) (/ 1 J)))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [misc]regimes:  searching between +inf.0 and 1.401372995653404e+308 on (* (sqrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (sqrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [misc]regimes:  searching between +inf.0 and 1.1837960109974201e+154 on (sqrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]regimes:  searching between -6.809818368098477e+304 and -inf.0 on (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [misc]regimes:  searching between +inf.0 and 1.4013729956534038e+308 on (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [misc]regimes:  searching between -6.809818368098477e+304 and -inf.0 on (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]regimes:  searching between +inf.0 and 1.4013729956534038e+308 on (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]regimes:  searching between -6.809818368098477e+304 and -inf.0 on (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [misc]regimes:  searching between +inf.0 and 1.4013729956534038e+308 on (* (* (* J -2) (cos (/ K 2))) (* (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [misc]regimes:  searching between -6.809818368098475e+304 and -inf.0 on (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [misc]regimes:  searching between +inf.0 and 1.4013729956534032e+308 on (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))
* [misc]regimes:  searching between -4.083618627398084e+101 and -inf.0 on (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]regimes:  searching between +inf.0 and 5.194190992926246e+102 on (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]regimes:  searching between 8.417986766231593e+195 and 5.5011663778316884e+194 on (/ (* (* -2 (* U 1/2)) (cos (/ K 2))) (/ (cos (* K 1/2)) 1))
* [misc]regimes:  searching between 8.417986766231593e+195 and 5.5011663778316884e+194 on (* -2 (* U 1/2))
* [misc]regimes:  searching between -2.7505831889158442e+194 and -4.2089933831157966e+195 on (* U 1/2)
* [misc]regimes:  searching between -6.809818368098477e+304 and -inf.0 on (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]regimes:  searching between +inf.0 and 1.4013729956534038e+308 on (* (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))
* [misc]regimes:  searching between +nan.0 and +nan.0 on (* (* (* (* J -2) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [misc]regimes:  searching between -6.809818368098477e+304 and -inf.0 on (* (* (* (* J -2) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [misc]regimes:  searching between +inf.0 and 1.4013729956534038e+308 on (* (* (* (* J -2) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [misc]regimes:  searching between -6.809818368098477e+304 and -inf.0 on (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [misc]regimes:  searching between +inf.0 and 1.4013729956534038e+308 on (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))
* [misc]regimes:  searching between +inf.0 and +inf.0 on (* (* J -2) (cbrt (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (pow (cos (/ K 2)) 3)) (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* [misc]regimes:  searching between +inf.0 and +inf.0 on (* (* J -2) (cbrt (* (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (pow (cos (/ K 2)) 3)) (* (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))))
* [misc]regimes:  searching between 8.417986766231593e+195 and 5.5011663778316884e+194 on (* (/ (* 1/2 U) (cos (* 1/2 K))) (/ (cos (/ K 2)) (/ 1 -2)))
* [misc]regimes:  searching between -2.7505831889158442e+194 and -4.2089933831157966e+195 on (* 1/2 U)
* [misc]regimes:  Found splitpoints: (#s(sp 0 (* (* (cbrt (/ (/ 1/2 (cos (* K 1/2))) (/ (/ 1 U) (/ 1 J)))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) -inf.0) #s(sp 1 (* (* (cbrt (/ (/ 1/2 (cos (* K 1/2))) (/ (/ 1 U) (/ 1 J)))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) 2.1678690799149524e+272) #s(sp 2 (* (* (cbrt (/ (/ 1/2 (cos (* K 1/2))) (/ (/ 1 U) (/ 1 J)))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) +inf.0)) , with alts (#<alt-delta (λ (J K U) (* (/ (* 1/2 U) (cos (* 1/2 K))) (/ (cos (/ K 2)) (/ 1 -2))))> #<alt-delta (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))))> #<alt-delta (λ (J K U) (/ (* (* -2 (* U 1/2)) (cos (/ K 2))) (/ (cos (* K 1/2)) 1)))>)
* [misc]splitpoints:  intervals are:  ((#f . #s(sp 0 (* (* (cbrt (/ (/ 1/2 (cos (* K 1/2))) (/ (/ 1 U) (/ 1 J)))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) -inf.0)))
* [misc]splitpoints:  intervals are:  ((#s(sp 0 (* (* (cbrt (/ (/ 1/2 (cos (* K 1/2))) (/ (/ 1 U) (/ 1 J)))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) -inf.0) . #s(sp 1 (* (* (cbrt (/ (/ 1/2 (cos (* K 1/2))) (/ (/ 1 U) (/ 1 J)))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) 2.1678690799149524e+272)))
* [misc]splitpoints:  intervals are:  ((#s(sp 1 (* (* (cbrt (/ (/ 1/2 (cos (* K 1/2))) (/ (/ 1 U) (/ 1 J)))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) 2.1678690799149524e+272) . #s(sp 2 (* (* (cbrt (/ (/ 1/2 (cos (* K 1/2))) (/ (/ 1 U) (/ 1 J)))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) +inf.0)))
* [enter]simplify:  Simplifying (if (<= (* (* (cbrt (/ (/ 1/2 (cos (* K 1/2))) (/ (/ 1 U) (/ 1 J)))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) -inf.0) (* (/ (* 1/2 U) (cos (* 1/2 K))) (/ (cos (/ K 2)) (/ 1 -2))) (if (<= (* (* (cbrt (/ (/ 1/2 (cos (* K 1/2))) (/ (/ 1 U) (/ 1 J)))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))))) 2.1678690799149524e+272) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2)))))) (/ (* (* -2 (* U 1/2)) (cos (/ K 2))) (/ (cos (* K 1/2)) 1))))
* * [misc]simplify:  iters left: 6 (48 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* [exit]simplify:  Simplified to (if (<= (* (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (/ (/ 1/2 (cos (* K 1/2))) (/ (/ 1 U) (/ 1 J))))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* J -2) (cos (/ K 2))))) -inf.0) (* (/ (cos (/ K 2)) (/ 1 -2)) (/ (* 1/2 U) (cos (* K 1/2)))) (if (<= (* (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (/ (/ 1/2 (cos (* K 1/2))) (/ (/ 1 U) (/ 1 J))))) (* (cbrt (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* J -2) (cos (/ K 2))))) 2.1678690799149524e+272) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U (+ J J)) (cos (/ K 2))))) (* J -2)) (/ (* (* -2 (* 1/2 U)) (cos (/ K 2))) (/ (cos (* K 1/2)) 1))))